Korpusov Maxim Olegovich

Publications in Math-Net.Ru

1. On the global solvability in time of a system of equations of an ambipolar diffusion with heating
   
   Mat. Zametki, 118:5 (2025),  739–747
2. Blow-up of Solutions of the Cauchy Problem for the Doubly Nonlinear Equation of a Thermoelectric Model
   
   Mat. Zametki, 118:2 (2025),  169–176
3. Blow-up of the solution to the Cauchy problem for one $(N+1)$-dimensional composite-type equation with gradient nonlinearity
   
   TMF, 225:1 (2025),  138–158
4. On the solvability of the Cauchy problem for a thermal–electrical model
   
   TMF, 222:2 (2025),  217–232
5. On time-global solvability of the Cauchy problem for one nonlinear equation of the drift-diffusion model of a semiconductor
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:8 (2025),  1351–1372
6. On time-global solvability of one Cauchy problem for a nonlinear equation of composite type of the heat-electric model
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:8 (2025),  1328–1350
7. On the destruction of solutions to Cauchy problems for nonlinear ferrite equations in $(N + 1)$-dimensional case
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025),  471–493
8. On the Existence of a Nonextendable Solution of the Cauchy problem for a $(1+1)$-Dimensional Thermal-Electrical Model
   
   Mat. Zametki, 115:5 (2024),  645–657
9. On the existence of a nonextendable solution of the Cauchy problem for a $(3+1)$-dimensional thermal–electrical model
   
   TMF, 221:3 (2024),  702–715
10. On the blow-up of the solution of a $(1+1)$-dimensional thermal–electrical model
    
    TMF, 219:2 (2024),  249–262
11. On calculating of functional derivative for an optimal control problem
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 17:2 (2024),  51–67
12. Numerical diagnostics of solution blow-up in a thermoelectric semiconductor model
    
    Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1314–1322
13. On the Blow-Up of the Solution of a Nonlinear System of Equations of a Thermal-Electrical Model
    
    Mat. Zametki, 114:5 (2023),  759–772
14. Global-in-time solvability of a nonlinear system of equations of a thermal–electrical model with quadratic nonlinearity
    
    TMF, 217:2 (2023),  378–390
15. Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: III. Cauchy problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023),  1109–1127
16. On critical exponents for weak solutions of the Cauchy problem for a $(2+1)$-dimensional nonlinear composite-type equation with gradient nonlinearity
    
    Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  1006–1021
17. Blow-up of solutions and local solvability of an abstract Cauchy problem of second order with a noncoercive source
    
    Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023),  573–583
18. Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: II. Potential theory
    
    Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023),  282–316
19. On Cauchy problems for nonlinear Sobolev equations in ferroelectricity theory
    
    Zh. Vychisl. Mat. Mat. Fiz., 63:1 (2023),  123–144
20. On the blowup of solutions of the Cauchy problem for nonlinear equations of ferroelectricity theory
    
    TMF, 212:3 (2022),  327–339
21. Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: I. Green formulas
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022),  1639–1661
22. Blow-up of weak solutions of the Cauchy problem for $(3+1)$-dimensional equation of plasma drift waves
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  124–158
23. On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type
    
    Izv. RAN. Ser. Mat., 85:4 (2021),  96–136
24. 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
25. Nonlinear equations of the theory of ion-sound plasma waves
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1927–1936
26. Potential theory and Schauder estimate in Hölder spaces for $(3 + 1)$-dimensional Benjamin–Bona–Mahoney–Burgers equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021),  1309–1335
27. Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source
    
    Izv. RAN. Ser. Mat., 84:5 (2020),  119–150
28. Blow-up instability in non-linear wave models with distributed parameters
    
    Izv. RAN. Ser. Mat., 84:3 (2020),  15–70
29. On blow-up of solutions of the Cauchy problems for a class of nonlinear equations of ferrite theory
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 185 (2020),  79–131
30. Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein–Gordon equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1503–1512
31. 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
32. Blowup solutions of the nonlinear Thomas equation
    
    TMF, 201:1 (2019),  54–64
33. A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches
    
    Num. Meth. Prog., 20:3 (2019),  323–336
34. Diagnostics of instant decomposition of solution in the nonlinear equation of theory of waves in semiconductors
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:4 (2019),  104–113
35. Potential theory for a nonlinear equation of the Benjamin–Bona–Mahoney–Burgers type
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019),  1915–1947
36. Blow-up of solutions of nonclassical nonlocal nonlinear model equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  621–648
37. On an instantaneous blow-up of solutions of evolutionary problems on the half-line
    
    Izv. RAN. Ser. Mat., 82:5 (2018),  61–77
38. 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
39. Solution blowup for nonlinear equations of the Khokhlov–Zabolotskaya type
    
    TMF, 194:3 (2018),  403–417
40. Analytic-numerical investigation of combustion in a nonlinear medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1553–1563
41. Solution blow-up in a nonlinear system of equations with positive energy in field theory
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  447–458
42. Gradient blow-up in generalized Burgers and Boussinesq equations
    
    Izv. RAN. Ser. Mat., 81:6 (2017),  232–242
43. 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
44. Global unsolvability of a nonlinear conductor model in the quasistationary approximation
    
    TMF, 191:1 (2017),  3–13
45. 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
46. Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017),  1170–1175
47. The finite-time blowup of the solution of an initial boundary-value problem for the nonlinear equation of ion sound waves
    
    TMF, 187:3 (2016),  447–454
48. Blowup of the solution to the Cauchy problem with arbitrary positive energy for a system of Klein–Gordon equations in the de Sitter metric
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1775–1779
49. Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type
    
    Izv. RAN. Ser. Mat., 79:5 (2015),  103–162
50. Global Unsolvability of One-Dimensional Problems for Burgers-Type Equations
    
    Mat. Zametki, 98:3 (2015),  448–462
51. 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
52. Blow-up of solutions of non-linear equations of Kadomtsev–Petviashvili and Zakharov–Kuznetsov types
    
    Izv. RAN. Ser. Mat., 78:3 (2014),  79–110
53. Blow-up of solutions of strongly dissipative generalized Klein–Gordon equations
    
    Izv. RAN. Ser. Mat., 77:2 (2013),  109–138
54. On the Blow-Up of the Solution of an Equation Related to the Hamilton–Jacobi Equation
    
    Mat. Zametki, 93:1 (2013),  81–95
55. Solution blow-up for a class of parabolic equations with double nonlinearity
    
    Mat. Sb., 204:3 (2013),  19–42
56. Solution blowup for systems of shallow-water equations
    
    TMF, 177:2 (2013),  264–275
57. Local solvability and solution blowup for the Benjamin–Bona–Mahony–Burgers equation with a nonlocal boundary condition
    
    TMF, 175:2 (2013),  159–172
58. Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory
    
    TMF, 174:3 (2013),  355–363
59. Blow-up of ion-sound waves in plasma with non-linear sources on the boundary
    
    Izv. RAN. Ser. Mat., 76:2 (2012),  103–140
60. On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy
    
    Sibirsk. Mat. Zh., 53:4 (2012),  874–891
61. Solution blowup for the heat equation with double nonlinearity
    
    TMF, 172:3 (2012),  339–343
62. Blow-up of the solution of a nonlinear system of equations with positive energy
    
    TMF, 171:3 (2012),  355–369
63. Blowup of a positive-energy solution of model wave equations in nonlinear dynamics
    
    TMF, 171:1 (2012),  3–17
64. Blowup of solutions of the three-dimensional Rosenau–Burgers equation
    
    TMF, 170:3 (2012),  342–349
65. The Destruction of the Solution of the Nonlocal Equation with Gradient Nonlinearity
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 11,  43–53
66. Blow up of ion-acoustic waves in plasma with strong time-spatial dispertion
    
    Algebra i Analiz, 23:6 (2011),  96–130
67. On the blow-up of internal gravitational waves with non-linear sources
    
    Izv. RAN. Ser. Mat., 75:4 (2011),  29–48
68. On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary
    
    Mat. Tr., 14:2 (2011),  83–126
69. Blow-up of ion acoustic waves in a plasma
    
    Mat. Sb., 202:1 (2011),  37–64
70. On blowup of solutions to a system of equations of ion sound waves in plasma
    
    Sibirsk. Mat. Zh., 52:3 (2011),  600–614
71. Destruction of solutions of wave equations in systems with distributed parameters
    
    TMF, 167:2 (2011),  206–213
72. On a nonlinear eigenmode problem in semiconductor theory
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:5 (2011),  872–880
73. On the uniqueness of the solution of a nonlinear eigenmode problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011),  642–646
74. Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011),  407–435
75. Solution blow-up for a new stationary Sobolev-type equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010),  876–893
76. Blow-up of Oskolkov's system of equations
    
    Mat. Sb., 200:4 (2009),  83–108
77. One application of the energy method of a H.A. Levine
    
    Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11,  48–53
78. Sufficient conditions for the blowup of a solution to the Boussinesq equation subject to a nonlinear Neumann boundary condition
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  2042–2045
79. An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008),  1860–1877
80. Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008),  1629–1637
81. Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008),  808–812
82. Blow-up of solutions of nonlinear Sobolev type equations with cubic sources
    
    Differ. Uravn., 42:3 (2006),  404–415
83. “Destruction” of the solution of a strongly nonlinear equation of pseudoparabolic type with double nonlinearity
    
    Mat. Zametki, 79:6 (2006),  879–899
84. Blow-up of solutions of abstract Cauchy problems for nonlinear operator-differential equations
    
    Dokl. Akad. Nauk, 401:1 (2005),  12–15
85. Blow-Up of the Solution of an Initial-Boundary Value Problem for a Nonhomogeneous Equation of Pseudoparabolic Type
    
    Differ. Uravn., 41:6 (2005),  832–835
86. Global Solvability Conditions for an Initial-Boundary Value Problem for a Nonlinear Equation of Pseudoparabolic Type
    
    Differ. Uravn., 41:5 (2005),  678–685
87. Blow-up of solutions of a class of strongly non-linear dissipative wave equations of Sobolev type with sources
    
    Izv. RAN. Ser. Mat., 69:4 (2005),  89–128
88. On the “Destruction” of Solutions of Nonlinear Wave Equations of Sobolev Type with Cubic Sources
    
    Mat. Zametki, 78:4 (2005),  559–578
89. On a necessary and sufficient condition for a blowing up of a solution to a mixed boundary problem for a certain nonlinear equation of Sobolev type
    
    Sib. Èlektron. Mat. Izv., 2 (2005),  145–155
90. On blowup of a solution to a Sobolev-type equation with a nonlocal source
    
    Sibirsk. Mat. Zh., 46:3 (2005),  567–578
91. On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005),  272–286
92. On the blowup of solutions to semilinear pseudoparabolic equations with rapidly growing nonlinearities
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005),  145–155
93. Blow-up of solutions of a class of strongly non-linear equations of Sobolev type
    
    Izv. RAN. Ser. Mat., 68:4 (2004),  151–204
94. On the blow-up of the solution of an initial-boundary value problem for a nonlinear nonlocal equation of pseudo-parabolic type
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004),  2212–2219
95. Three-dimensional nonlinear evolutionary pseudoparabolic equations in mathematical physics. II
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004),  2041–2048
96. Finite-Time Blow-Up of the Solution of the Cauchy Problem for the Pseudoparabolic Equation $Au_t=F(u)$
    
    Differ. Uravn., 39:1 (2003),  78–83
97. Three-dimensional nonlinear evolution equations of pseudoparabolic type in problems of mathematical physics
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:12 (2003),  1835–1869
98. Conditions for the global solvability of the Cauchy problem for a semilinear equation of pseudoparabolic type
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003),  1210–1222
99. On the solvability of strongly nonlinear pseudoparabolic equation with double nonlinearity
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  987–1004
100. On the existence of a solution to the Laplace equation with a nonlinear dynamic boundary condition
     
     Zh. Vychisl. Mat. Mat. Fiz., 43:1 (2003),  95–110
101. Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator
     
     Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002),  1788–1795
102. Energy estimate of the solution to a nonlinear pseudoparabolic equation at $t\to\infty$
     
     Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002),  1200–1206
103. Global solvability of an initial-boundary value problem for a system of semilinear equations
     
     Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002),  1039–1050
104. Global solvability of pseudoparabolic nonlinear equations and blow-up of their solutions
     
     Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002),  849–866
105. $\mathbb L^p$-stimates for solutions to initial and initial-boundary value problems for a semilinear system of reaction-diffusion equations in the limit of $t\to+\infty$
     
     Zh. Vychisl. Mat. Mat. Fiz., 42:1 (2002),  53–75
106. On an initial-boundary value problem in magnetic hydrodynamics
     
     Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1734–1741
107. On the global solvability of the initial-boundary value problem for a composite-type nonlinear equation
     
     Zh. Vychisl. Mat. Mat. Fiz., 41:6 (2001),  959–964
108. On the asymptotic behavior of the solution to the Cauchy problem for the system of equations of ambipolar diffusion
     
     Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  783–795
109. On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation
     
     Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  641–647
110. Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation
     
     Zh. Vychisl. Mat. Mat. Fiz., 40:11 (2000),  1716–1724
111. On quasi-steady processes in conducting nondispersive media
     
     Zh. Vychisl. Mat. Mat. Fiz., 40:8 (2000),  1237–1249
112. Long-time asymptotics of an initial-boundary value problem for the two-dimensional Sobolev equation
     
     Differ. Uravn., 35:10 (1999),  1421–1425
113. Asymptotics of the fundamental solution to the equation of two-dimensional internal waves and quasi-front phenomenon
     
     Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999),  1552–1557
114. Unsteady waves in anisotropic dispersive media
     
     Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999),  1006–1022
115. Oscillation of a set of curvilinear segments in a stratified fluid
     
     Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1583–1591
116. Unsteady waves in a stratified fluid excited by the variation of the normal velocity component on a line segment
     
     Zh. Vychisl. Mat. Mat. Fiz., 37:9 (1997),  1112–1121
117. Oscillation of a two-sided line segment in a stratified fluid
     
     Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  968–974
118. On the solvability of an initial-boundary value problem for the internal-wave equation
     
     Zh. Vychisl. Mat. Mat. Fiz., 37:5 (1997),  617–620