Difference between revisions of "Anton Krivtsov"
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[[ru:Антон Кривцов]] | [[ru:Антон Кривцов]] | ||
| − | + | {{DISPLAYTITLE:<span style="display:none">{{FULLPAGENAME}}</span>}} | |
| + | <font size="5"> Anton Krivtsov</font> | ||
{| style="color:black;background-color:#e0e0e0;" cellpadding="15" cellspacing="2" border = "1"C | {| style="color:black;background-color:#e0e0e0;" cellpadding="15" cellspacing="2" border = "1"C | ||
|[[File:Krivtsov_02.jpg|150px]] | |[[File:Krivtsov_02.jpg|150px]] | ||
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;:[[Main Page|"Theoretical and Applied Mechanics"]] | ;:[[Main Page|"Theoretical and Applied Mechanics"]] | ||
| − | :[http:// | + | :[http://english.spbstu.ru/structure/institut_prikladnoy_matematiki_i_mekhaniki/ Institute of Applied Mathematics and Mechanics] (former [http://www.physmech.ru/ Faculty Physics and Mechanics]) |
| − | :[http:// | + | :[http://english.spbstu.ru/ Peter the Great Saint Petersburg Polytechnic University] (SPbPU) |
;Head of Laboratory | ;Head of Laboratory | ||
| Line 22: | Line 23: | ||
;:[[Center for scientific and technical creativity|Center for scientific and technical creativity of the youth]] (SCY) | ;:[[Center for scientific and technical creativity|Center for scientific and technical creativity of the youth]] (SCY) | ||
| − | :[http:// | + | :[http://english.spbstu.ru/ Peter the Great Saint Petersburg Polytechnic University] (SPbPU) |
|__TOC__ | |__TOC__ | ||
|} | |} | ||
| Line 28: | Line 29: | ||
== Education == | == Education == | ||
| − | * Master of Engineering, [http:// | + | * Master of Engineering, [http://english.spbstu.ru Leningrad Polytechnical Institute], Russia, 1990 ([http://www.physmech.ru/ Physical and Mechanical Faculty], [http://en.fea.ru/article/mechanics-and-control-process-department "Mechanics and Control Processes Department"], scientific adviser [[:ru:П.А. Жилин|P.A. Zhilin]], thesis title: '''"On the theory of media with microstructure"'''). |
| − | * Candidate of physico-mathematical sciences, [http:// | + | * Candidate of physico-mathematical sciences, [http://english.spbstu.ru St. Petersburg State Polytechnical University], Russia, 1995 ([[Main Page|Department of Theoretical and Applied Mechanics]], scientific adviser [[:ru:П.А. Жилин|P.A. Zhilin]], thesis title: '''"Dynamics of an unbalanced rigid body on elastic supports"'''). |
* Probation, [http://www.abdn.ac.uk/engineering/ Department of Engineering], [http://www.abdn.ac.uk/ The University of Aberdeen], United Kingdom, 1999-2000 (Vibration Enhanced Drilling Research Group ([http://homepages.abdn.ac.uk/m.wiercigroch/pages/index-G.html VED-RG]), head [http://www.abdn.ac.uk/engineering/people/profiles/m.wiercigroch Marian Wiercigroch]). | * Probation, [http://www.abdn.ac.uk/engineering/ Department of Engineering], [http://www.abdn.ac.uk/ The University of Aberdeen], United Kingdom, 1999-2000 (Vibration Enhanced Drilling Research Group ([http://homepages.abdn.ac.uk/m.wiercigroch/pages/index-G.html VED-RG]), head [http://www.abdn.ac.uk/engineering/people/profiles/m.wiercigroch Marian Wiercigroch]). | ||
| Line 41: | Line 42: | ||
* Organizational work ([[Main Page|the department]], [http://www.ipme.ru/ipme/labs/msm/MD_RG/index.html laboratories], [[Center for scientific and technical creativity|centers]], counsils, projects, scientific and [[International_Master_Degree_Programme|educational]] programs, seminars) | * Organizational work ([[Main Page|the department]], [http://www.ipme.ru/ipme/labs/msm/MD_RG/index.html laboratories], [[Center for scientific and technical creativity|centers]], counsils, projects, scientific and [[International_Master_Degree_Programme|educational]] programs, seminars) | ||
* Teaching (undergraduate, PhD and doctoral students) | * Teaching (undergraduate, PhD and doctoral students) | ||
| + | * [http://apm-conf.spb.ru/ International Conference “Advanced Problems in Mechanics”] (Co-Chairman) | ||
| + | * [[Center for scientific and technical creativity|Center for scientific and technical creativity of the youth]] (Scientific supervisor) | ||
| + | * Popularization of science (lectures, papers, [[Interesting links|web pages]]; [[virtual laboratory]]) | ||
* Programming and Computer Simulation (С++, JavaScript, computational mechanics) | * Programming and Computer Simulation (С++, JavaScript, computational mechanics) | ||
| − | |||
| − | |||
| − | |||
== Research Interests == | == Research Interests == | ||
| Line 59: | Line 60: | ||
== Recent Publications == | == Recent Publications == | ||
| − | * [[A.M. Krivtsov]]. ''' | + | * [[A.M. Krivtsov]], [[A.S. Murachev]]. '''Transition to thermal equilibrium in a deformed crystal'''. 2019, ArXiv:1908.05464 ([https://arxiv.org/abs/1908.05464 abstract], download [http://mech.spbstu.ru/images/c/c3/Murachev_2019_ArXiv.pdf pdf]) |
| + | |||
| + | * [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Thermal equilibration in a one-dimensional damped harmonic crystal'''. 2019, [https://journals.aps.org/pre/ Physical review E], E100, 022117 ([https://journals.aps.org/pre/accepted/3d070R5aS2d1102d302744d735916715cb09ce08f abstract], download [[media:Gavrilov_Krivtsov_PhysRev_2019.pdf|pdf]]) | ||
| + | |||
| + | * [[O.S. Loboda]], [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov], [[D.V. Tsvetkov]]. '''Thermal processes in a one-dimensional crystal with regard for the second coordination sphere'''. 2019, [https://onlinelibrary.wiley.com/journal/15214001 ZAMM]. 13 p. ([[media:Loboda_Zamm_19.pdf |pdf]]). | ||
| + | |||
| + | * [[A.A. Le-Zakharov]], [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov]. '''Relation between defects and crystalline thermal conduction'''. 2019, [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics], ISSN 0935-1175, Volume 31, Number 6, pp. 1873–1881 (download [[media: CMAT19dfg.pdf|pdf]]) | ||
| + | |||
| + | *[http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply'''. 2019, [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics], Vol.31, pp. 255-272 ([https://link.springer.com/article/10.1007/s00161-018-0681-3 abstract], download [[media: Gavrilov_Krivtsov_Tsvetkov_Heat_Transfer.pdf|pdf]]) | ||
| + | |||
| + | * [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [[E.N. Vilchevskaya]]. ''' Change of entropy for one-dimensional ballistic heat equation - sinusoidal initial perturbation'''. 2019, [https://journals.aps.org/pre/ Physical Review E], Vol.99, 042107 ([https://journals.aps.org/pre/accepted/53079Rb3I7211316f7091ae76420724fca5745d95 abstract], [[ Media:PhysRevE.99.042107.pdf|pdf ]]) | ||
| + | |||
| + | * [[A.M. Krivtsov]]. '''The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal'''. 2019, [https://link.springer.com/book/10.1007/978-3-030-11665-1 Dynamical Processes in Generalized Continua and Structures], Vol. 103, pp. 345-358 ([https://link.springer.com/chapter/10.1007/978-3-030-11665-1_19 abstract], download pdf [[media: Krivtsov_Ballistic.pdf| 435 Kb]]). | ||
| + | |||
| + | *[http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source'''. 2019, [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics], Vol.31, pp. 1-21 ([https://rd.springer.com/article/10.1007/s00161-019-00782-2 abstract], download [[media: Gavrilov-Krivtsov2019_Article_Steady-stateKineticTemperature.pdf|pdf]]) | ||
| + | |||
| + | * [[A.S. Murachev]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Thermal echo in a one-dimensional harmonic crystal'''. 2019, [https://iopscience.iop.org/journal/0953-8984 Journal of Physics: Condensed Matter], Vol. 31, Num. 9 ([http://iopscience.iop.org/article/10.1088/1361-648X/aaf3c6/meta abstract], download [[media: Murachev_Krivtsov_Tsvetkov.pdf|pdf]]) | ||
| + | |||
| + | <!-- | ||
| + | * [[A.A. Le-Zakharov]], [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov]. '''Relation between defects and crystalline thermal conduction'''. 2019, [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics] (download pdf [[media: Le-Zakharov_CMAT_2019.pdf| 1.58 Mb]]) | ||
| + | |||
| + | * [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [[E.N. Vilchevskaya]]. ''' Change of entropy for one-dimensional ballistic heat equation - sinusoidal initial perturbation'''. [https://journals.aps.org/pre/ Physical Review E], Vol.99, 042107, 2019. ([https://journals.aps.org/pre/accepted/53079Rb3I7211316f7091ae76420724fca5745d95 abstract], [[ Media:PhysRevE.99.042107.pdf|pdf ]]) | ||
| + | |||
| + | * [[A.M. Krivtsov]]. '''The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal'''. [https://link.springer.com/book/10.1007/978-3-030-11665-1 Dynamical Processes in Generalized Continua and Structures], 2019, Vol. 103, p.p 345-358, ([https://link.springer.com/chapter/10.1007/978-3-030-11665-1_19 abstract], download pdf [[media: Krivtsov_Ballistic.pdf| 435 Kb]]). | ||
| + | |||
| + | *[http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source'''. 2019, [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics], Vol.31, p.p 1-21, ([https://rd.springer.com/article/10.1007/s00161-019-00782-2 abstract], download [https://rd.springer.com/content/pdf/10.1007%2Fs00161-019-00782-2.pdf pdf]) | ||
| + | |||
| + | * [[A.S. Murachev]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Thermal echo in a one-dimensional harmonic crystal'''. [https://iopscience.iop.org/journal/0953-8984 Journal of Physics: Condensed Matter], 2019, Vol. 31, Num. 9. ([http://iopscience.iop.org/article/10.1088/1361-648X/aaf3c6/meta abstract], download [http://iopscience.iop.org/article/10.1088/1361-648X/aaf3c6/pdf pdf]) | ||
| + | |||
| + | *[[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [http://www.ipme.ru/ipme/labs/mmmm/lena.htm E.N. Vilchevskaya]. '''Entropy production for one-dimensional ballistic heat equation - sinusoidal initial perturbation'''. 2018, arXiv:1807.04226 ([https://arxiv.org/abs/1807.04226 abstract], download [https://arxiv.org/pdf/1807.04226.pdf pdf]) | ||
| + | |||
| + | *[http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply'''. [https://link.springer.com/journal/161/ Continuum Mechanics and Thermodynamics]. 2018, Vol. 31, pp. 255-272. ([https://link.springer.com/article/10.1007/s00161-018-0681-3 abstract], download pdf [[media: Gavrilov_Krivtsov_Tsvetkov_Heat_Transfer.pdf| 945 Kb]]) | ||
| + | |||
| + | * [[A.M. Krivtsov]], [[A.A. Sokolov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [http://mc.spbstu.ru/uPeople/profile/112/ A.B. Freidin] . '''One-Dimensional Heat Conduction and Entropy Production'''. [https://link.springer.com/book/10.1007%2F978-3-319-73694-5 Advances in Mechanics of Microstructured Media and Structures]. 2018, Vol. 87, pp. 197–214. Download pdf: [[media: A._M._Krivtsov,_A._A._Sokolov,_W.H._Müller,_A._B._Freidin.pdf | 238 KB]] | ||
| + | |||
| + | * [[A.M. Krivtsov]], [[V.A. Kuzkin]]. '''Discrete and continuum thermomechanics'''. 2018, [https://www.springer.com/gp/book/9783662557709 Encyclopedia of Continuum Mechanics]. Download pdf: [[media:Kuzkin_2018_Encyclopedia.pdf| 349 KB]]. | ||
| + | |||
| + | * [[A.S. Murachev]], [[D.V. Tsvetkov]], [http://www.geokhi.ru/Lab51/%D0%93%D0%B0%D0%BB%D0%B8%D0%BC%D0%BE%D0%B2%20%D0%AD%D1%80%D0%B8%D0%BA%20%D0%9C%D0%B8%D1%85%D0%B0%D0%B9%D0%BB%D0%BE%D0%B2%D0%B8%D1%87.aspx/ E.M. Galimov], [[A.M. Krivtsov]]. ''' Numerical Simulation of Circumsolar Ring Evolution'''. [https://link.springer.com/book/10.1007%2F978-3-319-73694-5 Advances in Mechanics of Microstructured Media and Structures]. 2018, Vol. 87, pp. 251–262. Download pdf: [[media: A._S._Murachev,_D._V._Tsvetkov,_E._M._Galimov,_A.M._Krivtsov.pdf | 537 KB]] | ||
| + | |||
| + | * [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov], [[A.M. Krivtsov]], [[A.E. Osokina]]. '''Two-dimensional waves in extended square lattice'''. 2018, [https://www.journals.elsevier.com/international-journal-of-non-linear-mechanics International Journal of Non-Linear Mechanics], ([http://www.sciencedirect.com/science/article/pii/S0020746217305024 abstract], download pdf [[media: Porubov_Krivtsov_Osokina.pdf| 636 Kb]]) | ||
| + | |||
| + | * D. Saadatmand, D. Xiong, [[V.A. Kuzkin]], [[A.M. Krivtsov]], [http://polymer.chph.ras.ru/asavin/savin_eng.html A.V. Savin], [https://lettersonmaterials.com/ru/Profile.aspx?p=50 S.V. Dmitriev]. '''Discrete breathers assist energy transfer to ac driven nonlinear chains'''. [https://journals.aps.org/pre/ Physical Review E]. 2018, E 97, 022217 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.022217 abstract], download [[media: Kuzkin_2018_PRE_breathers.pdf| pdf]]) | ||
| + | |||
| + | * [[V.A. Kuzkin]], [[A.M. Krivtsov]] '''An analytical description of transient thermal processes in harmonic crystals.''' [https://link.springer.com/journal/11451 Physics of the Solid State]. 2017, Vol. 59, No. 5, pp. 1051–1062. Download pdf: [[media: Kuzkin 2017 PhysSolState Eng.pdf | 895 Kb]] | ||
| + | |||
| + | * [[V.A. Kuzkin]], [[A.M. Krivtsov]] '''High-frequency thermal processes in harmonic crystals.''' [http://www.maik.rssi.ru/cgi-perl/journal.pl?name=danphys&page=main Doklady Physics], 2017, № 5, pp. 529–533. ([https://link.springer.com/article/10.1134/S1028335817020070?wt_mc=Internal.Event.1.SEM.ArticleAuthorOnlineFirst Аннотация], Download pdf: [[media:Krivtsov_Kuzkin_DAN_2017_eng.pdf | 370 Kb]]). | ||
| + | |||
| + | * [[A.M. Krivtsov]], [[V.A. Kuzkin]]. '''Enhanced vector-based model for elastic bonds in solids'''. [https://lettersonmaterials.com/ Letters on Materials]. 2017,Vol.7, No.4, pp.455-458. ([https://lettersonmaterials.com/en/Readers/Article.aspx?aid=2574 abstract], download [https://lettersonmaterials.com/Upload/Journals/2574/455-4581.pdf pdf]) | ||
| + | |||
| + | * [[A.M. Krivtsov]]. '''On heat transfer in a thermally perturbed harmonic chain'''. 2017, ArXiv:1709.07924 ([https://arxiv.org/abs/1709.07924 abstract], download [https://arxiv.org/pdf/1709.07924.pdf pdf]) | ||
| + | |||
| + | * [[A.M. Krivtsov]], [[V.A. Kuzkin]]. '''Unsteady heat transfer in harmonic scalar lattices'''. 2017, ArXiv:1702.08686 ([https://arxiv.org/abs/1702.08686 abstract], download [https://arxiv.org/pdf/1702.08686.pdf pdf]) | ||
| − | * [[ | + | * [[A.M. Krivtsov]], [[V.A. Kuzkin]]. '''Fast and slow thermal processes in harmonic scalar lattices'''. [http://iopscience.iop.org/journal/0953-8984/ Journal of Physics: Condensed Matter], 2017, Vol.29, No.50, pp.14 ([http://iopscience.iop.org/article/10.1088/1361-648X/aa98eb abstract], download [http://iopscience.iop.org/article/10.1088/1361-648X/aa98eb/pdf pdf]) |
| − | * [[ | + | * [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov], [[A.E. Osokina]]. '''Two-dimensional waves in extended square lattice'''. 2017, [https://www.journals.elsevier.com/international-journal-of-non-linear-mechanics International Journal of Non-Linear Mechanics], ([http://www.sciencedirect.com/science/article/pii/S0020746217305024 abstract], download pdf [[media: Krvtsov_Porubov_Osokina.pdf| 633 Kb]]) |
| − | * [[A.M. Krivtsov]]. ''' | + | * [[A.Yu. Panchenko]], [[E.A. Podolskaya]], [[A.M. Krivtsov]]. '''Analysis of equations of state and determination of the Gr¨uneisen function for two-dimensional crystal lattices'''. [http://www.maik.rssi.ru/cgi-perl/journal.pl?name=danphys&page=main Doklady Physics], 2017, № 2. (Download pdf: [[Медиа:Panchenkoetal_DAN_2017.pdf | 381 Kb]]) |
| + | * [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W. H. Müller]. '''Localized heat perturbation in harmonic 1D crystals: Solutions for an equation of anomalous heat conduction'''. Physical Mesomechanics, 2017, Vol.20, No.3, pp.305–310. Download pdf: [[media: Sokolov 2017 PMM eng.pdf | 138 Kb]]. | ||
| + | --> | ||
;[[Anton Krivtsov: Selected publications | See more...]] | ;[[Anton Krivtsov: Selected publications | See more...]] | ||
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* [http://www.ipme.ru/ipme/labs/msm/AK/index.html A.M. Krivtsov:] the page at the [http://www.ipme.ru IPME RAS] website. | * [http://www.ipme.ru/ipme/labs/msm/AK/index.html A.M. Krivtsov:] the page at the [http://www.ipme.ru IPME RAS] website. | ||
* [[Main Page|Department of Theoretical and Applied Mechanics SPbPU]] | * [[Main Page|Department of Theoretical and Applied Mechanics SPbPU]] | ||
| − | * [http:// | + | * [http://english.spbstu.ru/structure/institut_prikladnoy_matematiki_i_mekhaniki/ Institute of Applied Mathematics and Mechanics] (IAMM) |
| − | * [http:// | + | * [http://english.spbstu.ru/ Peter the Great Saint Petersburg Polytechnic University] (SPbPU) |
* [http://www.ipme.ru/index.html Institute for Problems in Mechanical Engineering] [http://www.ras.ru Russian Academy of Sciences] (IPME RAS) | * [http://www.ipme.ru/index.html Institute for Problems in Mechanical Engineering] [http://www.ras.ru Russian Academy of Sciences] (IPME RAS) | ||
Revision as of 18:15, 1 November 2019
Anton Krivtsov
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Education
- Master of Engineering, Leningrad Polytechnical Institute, Russia, 1990 (Physical and Mechanical Faculty, "Mechanics and Control Processes Department", scientific adviser P.A. Zhilin, thesis title: "On the theory of media with microstructure").
- Candidate of physico-mathematical sciences, St. Petersburg State Polytechnical University, Russia, 1995 (Department of Theoretical and Applied Mechanics, scientific adviser P.A. Zhilin, thesis title: "Dynamics of an unbalanced rigid body on elastic supports").
- Probation, Department of Engineering, The University of Aberdeen, United Kingdom, 1999-2000 (Vibration Enhanced Drilling Research Group (VED-RG), head Marian Wiercigroch).
- Doctor of physico-mathematical sciences, St. Petersburg State Polytechnical University, Russia, 2002 (Department of Theoretical and Applied Mechanics, scientific adviser P.A. Zhilin, thesis title: "Deformation and fracture of solids with microstructure".
Activities
- Scientific work (research, work with students, talks, papers and books, reviewing)
- Organizational work (the department, laboratories, centers, counsils, projects, scientific and educational programs, seminars)
- Teaching (undergraduate, PhD and doctoral students)
- International Conference “Advanced Problems in Mechanics” (Co-Chairman)
- Center for scientific and technical creativity of the youth (Scientific supervisor)
- Popularization of science (lectures, papers, web pages; virtual laboratory)
- Programming and Computer Simulation (С++, JavaScript, computational mechanics)
Research Interests
- Discrete and continuum mechanics
- Particle and molecular dynamics
- Nanomechanics
- Geomechanics
- Computer methods in mechanics
- Multibody dynamics
- Nonlinear oscillations
- Astrophysics
Recent Publications
- A.M. Krivtsov, A.S. Murachev. Transition to thermal equilibrium in a deformed crystal. 2019, ArXiv:1908.05464 (abstract, download pdf)
- S.N. Gavrilov, A.M. Krivtsov. Thermal equilibration in a one-dimensional damped harmonic crystal. 2019, Physical review E, E100, 022117 (abstract, download pdf)
- O.S. Loboda, A.M. Krivtsov, A.V. Porubov, D.V. Tsvetkov. Thermal processes in a one-dimensional crystal with regard for the second coordination sphere. 2019, ZAMM. 13 p. (pdf).
- A.A. Le-Zakharov, A.M. Krivtsov, A.V. Porubov. Relation between defects and crystalline thermal conduction. 2019, Continuum Mechanics and Thermodynamics, ISSN 0935-1175, Volume 31, Number 6, pp. 1873–1881 (download pdf)
- S.N. Gavrilov, A.M. Krivtsov, D.V. Tsvetkov. Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply. 2019, Continuum Mechanics and Thermodynamics, Vol.31, pp. 255-272 (abstract, download pdf)
- A.A. Sokolov, A.M. Krivtsov, W.H. Müller, E.N. Vilchevskaya. Change of entropy for one-dimensional ballistic heat equation - sinusoidal initial perturbation. 2019, Physical Review E, Vol.99, 042107 (abstract, pdf )
- A.M. Krivtsov. The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal. 2019, Dynamical Processes in Generalized Continua and Structures, Vol. 103, pp. 345-358 (abstract, download pdf 435 Kb).
- S.N. Gavrilov, A.M. Krivtsov. Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source. 2019, Continuum Mechanics and Thermodynamics, Vol.31, pp. 1-21 (abstract, download pdf)
- A.S. Murachev, A.M. Krivtsov, D.V. Tsvetkov. Thermal echo in a one-dimensional harmonic crystal. 2019, Journal of Physics: Condensed Matter, Vol. 31, Num. 9 (abstract, download pdf)
Teaching
- Classical mechanics
- Vector and tensor calculus
Links
- A.M. Krivtsov: the page at the IPME RAS website.
- Department of Theoretical and Applied Mechanics SPbPU
- Institute of Applied Mathematics and Mechanics (IAMM)
- Peter the Great Saint Petersburg Polytechnic University (SPbPU)
- Institute for Problems in Mechanical Engineering Russian Academy of Sciences (IPME RAS)
