A. E. Mamontov, D. A. Prokudin, “Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. I. Statement of the main problem. Solvability of an auxiliary problem”, J. Appl. Industr. Math., 17:4 (2023), 802–814
A. E. Mamontov, D. A. Prokudin, “Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids”, J. Appl. Industr. Math., 15:1 (2021), 50–61
D. A. Prokudin, “Existence of weak solutions to the problem on three-dimensional steady heat-conductive motions of compressible viscous multicomponent mixtures”, Siberian Math. J., 62:5 (2021), 895–907
D. A. Prokudin, “Solvability of a Regularized Boundary-Value Problem For the System of Equations of Dynamics of Mixtures of Viscous Compressible Heat-Conducting Fluids”, Sib. Electron. Math. Rep., 17 (2020), 300–312
A. E. Mamontov, D. A. Prokudin, “Globalnye otsenki i razreshimost regulyarizovannoi zadachi o trekhmernom nestatsionarnom dvizhenii vyazkoi szhimaemoi teploprovodnoi mnogokomponentnoi zhidkosti”, Sib. elektron. matem. izv., 16 (2019), 547–590
A. E. Mamontov, D. A. Prokudin, “Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids”, J. Math. Fluid Mech., 21:1 (2019), UNSP 9
A. E. Mamontov, D. A. Prokudin, “Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids”, Sib. elektron. matem. izv., 15 (2018), 631–649
D. A. Prokudin, “Ob odnoznachnoi razreshimosti nachalno–kraevoi zadachi dlya modelnoi sistemy uravnenii politropnogo dvizheniya smesi vyazkikh szhimaemykh zhidkostei”, Sib. elektron. matem. izv., 14 (2017), 568–585
Mamontov A., Prokudin D., All-Russian Conference With International Participation Modern Problems of Continuum Mechanics and Explosion Physics Dedicated to the 60Th Anniversary of Lavrentyev Institute of Hydrodynamics Sb Ras, Journal of Physics Conference Series, 894, IOP Publishing Ltd, 2017
Mamontov A., Prokudin D., All-Russian Conference With International Participation Modern Problems of Continuum Mechanics and Explosion Physics Dedicated to the 60Th Anniversary of Lavrentyev Institute of Hydrodynamics Sb Ras, Journal of Physics Conference Series, 894, IOP Publishing Ltd, 2017