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Analysis of the uniqueness and stability of hyperbolic-parabolic system. (Russian. English summary) Zbl 1373.35094

Summary: A theorem of existence and uniqueness for hyperbolic-parabolic system of equations conjugate to compressible Navier-Stokes equations is proved.

MSC:

35G46 Initial-boundary value problems for systems of linear higher-order PDEs
35R09 Integro-partial differential equations
35B35 Stability in context of PDEs
35Q30 Navier-Stokes equations
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
35A01 Existence problems for PDEs: global existence, local existence, non-existence
Full Text: MNR