Panin Alexander Anatolyevich

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 the solution to the Cauchy problem for one $(N+1)$-dimensional composite-type equation with gradient nonlinearity
   
   TMF, 225:1 (2025),  138–158
3. On the solvability of the Cauchy problem for a thermal–electrical model
   
   TMF, 222:2 (2025),  217–232
4. 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
5. 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
6. Local Solvability and Global Unsolvability of a Model of Ion-Sound Waves in a Plasma
   
   Mat. Zametki, 107:3 (2020),  426–441
7. 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
8. 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
9. A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches
   
   Num. Meth. Prog., 20:3 (2019),  323–336
10. 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
11. 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
12. Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type
    
    TMF, 193:2 (2017),  179–192
13. 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
14. 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
15. On Local Solvability and Blow-Up of Solutions of an Abstract Nonlinear Volterra Integral Equation
    
    Mat. Zametki, 97:6 (2015),  884–903
16. 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
17. Local solvability and blowup of the solution of the Rosenau–Bürgers equation with different boundary conditions
    
    TMF, 177:1 (2013),  93–110
18. Local solvability and solution blowup for the Benjamin–Bona–Mahony–Burgers equation with a nonlocal boundary condition
    
    TMF, 175:2 (2013),  159–172
19. Blow-up of solutions of an inhomogeneous system of Sobolev-type equations
    
    Izv. RAN. Ser. Mat., 76:3 (2012),  157–182
20. Blow-Up of the Solution of an Inhomogeneous System of Sobolev-Type Equations
    
    Mat. Zametki, 91:2 (2012),  225–239
21. 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
22. An error estimate for approximate solutions to elliptic equations with non-coercive bilinear form
    
    Num. Meth. Prog., 10:1 (2009),  34–48
23. On the problem of superconvergence of finite element method algorithms
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2180–2185
24. Time asymptotics of a field excited in a waveguide by a harmonic current
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2219–2231


25. 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