TY - JOUR
T1 - Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids
AU - Mamontov, Alexander E.
AU - Prokudin, Dmitriy A.
N1 - Funding Information:
This paper was written with the support of the Mathematical Centre in Akademgorodok, contract no. 075-15-2019-1613 with the Ministry of science and higher education of the Russian Federation.
Publisher Copyright:
© 2021 Russian Academy of Sciences (DoM) and London Mathematical Society
PY - 2021/7
Y1 - 2021/7
N2 - We consider equations for the three-dimensional unsteady motion of mixtures of viscous compressible heat-conducting fluids in the multi-velocity approach. We prove the existence, globally in time and the input data, of a generalized (dissipative) solution of the initial-boundary value problem corresponding to flows in a bounded domain.
AB - We consider equations for the three-dimensional unsteady motion of mixtures of viscous compressible heat-conducting fluids in the multi-velocity approach. We prove the existence, globally in time and the input data, of a generalized (dissipative) solution of the initial-boundary value problem corresponding to flows in a bounded domain.
KW - Global existence theorem
KW - Homogeneous mixture with multiple velocities
KW - Multidimensional flow
KW - Unsteady boundary-value problem
KW - Viscous compressible heat-conducting fluid
UR - http://www.scopus.com/inward/record.url?scp=85114473327&partnerID=8YFLogxK
U2 - 10.1070/IM9019
DO - 10.1070/IM9019
M3 - Article
AN - SCOPUS:85114473327
VL - 85
SP - 755
EP - 812
JO - Izvestiya Mathematics
JF - Izvestiya Mathematics
SN - 1064-5632
IS - 4
ER -