Meirmanov Anvarbek Mukatovich

Publications in Math-Net.Ru

1. On the classical solution of the macroscopic model of in-situ leaching of rare metals
   
   Izv. RAN. Ser. Mat., 86:4 (2022),  116–161
2. Two-scale expansion method in the problem of temperature oscillations in frozen soil
   
   Applied Mathematics & Physics, 54:1 (2022),  28–32
3. A compactness result for non-periodic structures and its application to homogenization of diffusion-convection equations
   
   Chebyshevskii Sb., 21:4 (2020),  140–151
4. On the Global-in-Time Existence of a Generalized Solution to a Free-Boundary Problem
   
   Mat. Zametki, 107:2 (2020),  229–240
5. On homogenized equations of filtration in two domains with common boundary
   
   Izv. RAN. Ser. Mat., 83:2 (2019),  142–173
6. The global-in-time existence of a classical solution for some free boundary problem
   
   Sibirsk. Mat. Zh., 60:2 (2019),  419–428
7. Some free boundary problems arising in rock mechanics
   
   CMFD, 64:1 (2018),  98–130
8. Homogenization of the equations of filtration of a viscous fluid in two porous media
   
   Sibirsk. Mat. Zh., 59:5 (2018),  1145–1158
9. Homogenisation of the isothermal acoustics models in the configuration elastic body–porous-elastic medium
   
   Mat. Model., 28:12 (2016),  3–19
10. Seismic in composite media: elastic and poroelastic components
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  75–88
11. The homogenized models of the isothermal acoustics in the configuration «fluid–poroelastic medium»
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  49–74
12. The deduction of the homogenized model of isothermal acoustics in a heterogeneous medium in the case of two different poroelastic domains
    
    Sib. Zh. Ind. Mat., 19:2 (2016),  37–46
13. Mesoscopic dynamics of solid-liquid interfaces. A general mathematical model
    
    Sib. Èlektron. Mat. Izv., 12 (2015),  884–900
14. Mathematical models of a hydraulic shock in a slightly viscous liquid
    
    Mat. Model., 24:5 (2012),  112–130
15. Equations of liquid filtration in double porosity media as a reiterated homogenization of Stokes equations
    
    Trudy Mat. Inst. Steklova, 278 (2012),  161–169
16. Numerical homogenization in the Rayleigh–Taylor problem of filtering two immiscible incompressible liquids
    
    Mat. Model., 23:10 (2011),  33–43
17. The application of the reiterated homogenization method of differential equations to the theory of filtration of compressible viscous liquids in compressible crack-pore media. Part II: The macroscopic description
    
    Mat. Model., 23:4 (2011),  3–22
18. The application of the reiterated homogenization method of differential equations to the theory of filtration of compressible liquids in compressible crack-pore media. Part I: The microscopic description
    
    Mat. Model., 23:1 (2011),  100–114
19. Acoustics equations in elastic porous media
    
    Sib. Zh. Ind. Mat., 13:2 (2010),  98–110
20. Derivation of the equations of nonisothermal acoustics in elastic porous media
    
    Sibirsk. Mat. Zh., 51:1 (2010),  156–174
21. Derivation of the equations of diffusion and convection of an admixture
    
    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, no. 18,  73–86
22. Derivation of equations of seismic and acoustic wave propagation and equations of filtration via homogenization of periodic structures
    
    Tr. Semim. im. I. G. Petrovskogo, 27 (2009),  176–234
23. Equations of nonisothermal filtration in fast processes in elastic porous media
    
    Prikl. Mekh. Tekh. Fiz., 49:4 (2008),  113–129
24. Acoustic and filtration properties of a thermoelastic porous medium: Biot's equations of thermo-poroelasticity
    
    Mat. Sb., 199:3 (2008),  45–68
25. Nonisothermal Filtration and Seismic Acoustics in Porous Soil: Thermoviscoelastic Equations and Lamé Equations
    
    Trudy Mat. Inst. Steklova, 261 (2008),  210–219
26. Darcy's law in anisothermic porous medium
    
    Sib. Èlektron. Mat. Izv., 4 (2007),  141–154
27. Nguetseng's two-scale convergence method for filtration and seismic acoustic problems in elastic porous media
    
    Sibirsk. Mat. Zh., 48:3 (2007),  645–667
28. A generalized solution of the Stefan problem with kinetic supercooling
    
    Sib. Zh. Ind. Mat., 3:1 (2000),  66–86
29. On the correctness of the phenomenological model of equilibrium phase transitions in a deformable elastic medium
    
    Dokl. Akad. Nauk SSSR, 313:4 (1990),  843–845
30. Modeling crystallization of a binary alloy
    
    Prikl. Mekh. Tekh. Fiz., 30:4 (1989),  39–45
31. Phenomenological model of first-order phase transitions in a deformable elastic medium
    
    Prikl. Mekh. Tekh. Fiz., 28:6 (1987),  43–50
32. The Stefan problem with one space variable
    
    Dokl. Akad. Nauk SSSR, 285:4 (1985),  861–865
33. The structure of the generalized solution of the quasistationary one-dimensional Stefan problem
    
    Differ. Uravn., 20:5 (1984),  882–885
34. Structure of the generalized solution of the Stefan problem. Periodic solutions
    
    Dokl. Akad. Nauk SSSR, 272:4 (1983),  789–791
35. A problem on the advance of a contact discontinuity surface in the filtration of an immiscible compressible fluid (Verigin's problem)
    
    Sibirsk. Mat. Zh., 23:1 (1982),  85–102
36. An example of the nonexistence of a classical solution to the Stefan problem
    
    Dokl. Akad. Nauk SSSR, 258:3 (1981),  547–549
37. On a problem with free boundary for parabolic equations
    
    Mat. Sb. (N.S.), 115(157):4(8) (1981),  532–543
38. Solvability of Verigin's problem in an exact formulation
    
    Dokl. Akad. Nauk SSSR, 253:3 (1980),  588–591
39. On the classical solution of the multidimensional Stefan problem for quasilinear parabolic equations
    
    Mat. Sb. (N.S.), 112(154):2(6) (1980),  170–192
40. On classical solvability of the multidimensional Stefan problem
    
    Dokl. Akad. Nauk SSSR, 249:6 (1979),  1309–1312
41. Questions of correctness of a model of the simultaneous motion of surface and ground waters
    
    Dokl. Akad. Nauk SSSR, 242:3 (1978),  505–508