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Panin, Alexander Anatolyevich

Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 20
Presentations: 3

Number of views:
This page:1369
Abstract pages:8014
Full texts:2445
References:857
Candidate of physico-mathematical sciences (2009)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 8.02.1984
E-mail:
Keywords: waveguides, error estimation, blow-up, initial-boundary value problem, Sobolev type equations.
UDC: 519.63, 519.634, 517.957

Subject:

Waveguide theory Treatment of equation related to wave propagation (both analytic and numerical). Non-linear functional analysis.

   
Main publications:
  • Bogolyubov A. N., Malykh M. D., Panin A. A. Time Asymptotics of a Field Excited in a Waveguide by a Harmonic Current. // Comp. Math. and Math. Physics. Vol. 45, no. 12 (2005).

https://www.mathnet.ru/eng/person32561
List of publications on Google Scholar
List of publications on ZentralBlatt
ISTINA https://istina.msu.ru/workers/527145

Publications in Math-Net.Ru Citations
2021
1. M. O. Korpusov, A. A. Panin, A. E. Shishkov, “On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type”, Izv. RAN. Ser. Mat., 85:1 (2021),  118–153  mathnet  mathscinet  elib; Izv. Math., 85:1 (2021), 111–144  isi  scopus 11
2020
2. A. A. Panin, G. I. Shlyapugin, “Local Solvability and Global Unsolvability of a Model of Ion-Sound Waves in a Plasma”, Mat. Zametki, 107:3 (2020),  426–441  mathnet  mathscinet  elib; Math. Notes, 107:3 (2020), 464–477  isi  scopus 1
2019
3. M. O. Korpusov, A. A. Panin, “Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating”, Izv. RAN. Ser. Mat., 83:6 (2019),  104–132  mathnet  mathscinet  elib; Izv. Math., 83:6 (2019), 1174–1200  isi  scopus 1
4. I. I. Kolotov, A. A. Panin, “On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study”, Mat. Zametki, 105:5 (2019),  708–723  mathnet  mathscinet  elib; Math. Notes, 105:5 (2019), 694–706  isi  scopus 1
5. V. A. Vasil'chenko, M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, “A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches”, Num. Meth. Prog., 20:3 (2019),  323–336  mathnet  elib 1
2018
6. M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, E. V. Yushkov, “Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities”, Izv. RAN. Ser. Mat., 82:2 (2018),  43–78  mathnet  mathscinet  elib; Izv. Math., 82:2 (2018), 283–317  isi  scopus 11
2017
7. M. O. Korpusov, A. A. Panin, “On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma”, Mat. Zametki, 102:3 (2017),  383–395  mathnet  mathscinet  elib; Math. Notes, 102:3 (2017), 350–360  isi  scopus 12
8. A. A. Panin, G. I. Shlyapugin, “Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type”, TMF, 193:2 (2017),  179–192  mathnet  elib; Theoret. and Math. Phys., 193:2 (2017), 1561–1573  isi  scopus 4
9. M. O. Korpusov, D. V. Lukyanenko, E. A. Ovsyannikov, A. A. Panin, “Local solvability and decay of the solution of an equation with quadratic noncoercive nonlineatity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017),  107–123  mathnet  elib 6
2016
10. D. V. Luk'yanenko, A. A. Panin, “Blow-up phenomena in the model of a space charge stratification in semiconductors: numerical analysis of original equation reduction to a differential-algebraic system”, Num. Meth. Prog., 17:4 (2016),  437–446  mathnet 6
2015
11. A. A. Panin, “On Local Solvability and Blow-Up of Solutions of an Abstract Nonlinear Volterra Integral Equation”, Mat. Zametki, 97:6 (2015),  884–903  mathnet  mathscinet  elib; Math. Notes, 97:6 (2015), 892–908  isi  scopus 33
2014
12. M. O. Korpusov, A. A. Panin, “Blow-up of solutions of an abstract Cauchy problem for a formally hyperbolic equation with double non-linearity”, Izv. RAN. Ser. Mat., 78:5 (2014),  91–142  mathnet  mathscinet  zmath  elib; Izv. Math., 78:5 (2014), 937–985  isi  elib  scopus 8
2013
13. A. A. Panin, “Local solvability and blowup of the solution of the Rosenau–Bürgers equation with different boundary conditions”, TMF, 177:1 (2013),  93–110  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 177:1 (2013), 1361–1376  isi  elib  scopus 6
14. M. O. Korpusov, A. A. Panin, “Local solvability and solution blowup for the Benjamin–Bona–Mahony–Burgers equation with a nonlocal boundary condition”, TMF, 175:2 (2013),  159–172  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:2 (2013), 580–591  isi  elib  scopus 12
2012
15. Yu. V. Mukhartova, A. A. Panin, “Blow-up of solutions of an inhomogeneous system of Sobolev-type equations”, Izv. RAN. Ser. Mat., 76:3 (2012),  157–182  mathnet  mathscinet  zmath  elib; Izv. Math., 76:3 (2012), 581–606  isi  elib  scopus
16. Yu. V. Mukhartova, A. A. Panin, “Blow-Up of the Solution of an Inhomogeneous System of Sobolev-Type Equations”, Mat. Zametki, 91:2 (2012),  225–239  mathnet  mathscinet  elib; Math. Notes, 91:2 (2012), 217–230  isi  elib  scopus 2
2009
17. A. N. Bogolyubov, M. D. Malykh, A. A. Panin, “Two-sided estimates for the eigenvalues of the Laplace operator with Dirichlet boundary conditions and their application to problems in the mathematical theory of waveguides”, Num. Meth. Prog., 10:1 (2009),  83–93  mathnet
18. A. N. Bogolyubov, A. A. Panin, “An error estimate for approximate solutions to elliptic equations with non-coercive bilinear form”, Num. Meth. Prog., 10:1 (2009),  34–48  mathnet
2008
19. A. A. Panin, “On the problem of superconvergence of finite element method algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2180–2185  mathnet  mathscinet; Comput. Math. Math. Phys., 48:12 (2008), 2211–2216  isi  scopus
2005
20. A. N. Bogolyubov, M. D. Malykh, A. A. Panin, “Time asymptotics of a field excited in a waveguide by a harmonic current”, Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2219–2231  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:12 (2005), 2135–2147 2

2021
21. I. V. Prigorniy, A. A. Panin, D. V. Lukyanenko, “Some features of numerical diagnostics of instantaneous blow-up of the solution by the example of solving the equation of slow diffusion”, Num. Meth. Prog., 22:1 (2021),  77–86  mathnet

Presentations in Math-Net.Ru
1. On local and global solvability and on blow-up of the solution of a nonlinear equation of pseudo-parabolic type
A. A. Panin, M. O. Korpusov, I. K. Katasheva
Seminar on nonlinear problems of partial differential equations and mathematical physics
December 6, 2022 18:00   
2. Мгновенное разрушение versus локальная разрешимость задачи Коши для уравнения полупроводника в магнитном поле
A. A. Panin, M. O. Korpusov, I. K. Katasheva

November 8, 2022 15:00
3. On the critical exponent "instantaneous blow-up / local solvability" in the Cauchy problem for a model Sobolev type equation.
A. A. Panin, M. O. Korpusov
Seminar on nonlinear problems of partial differential equations and mathematical physics
September 21, 2021 18:00   

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