The existence and uniqueness of the solution of the equations describing compressible viscous fluid flow

DOI10.3792/pja/1195520358zbMath0207.39902OpenAlexW2124732389MaRDI QIDQ5608258

Nobutoshi Itaya

Publication date: 1970

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195520358

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in partial differential equations (35A99)

Related Items

The solvability of the initial boundary-value problem for equations of motion of a viscous compressible barotropic liquid in the spaces \(W_ 2^{2+\ell,1+\ell/2}(Q_ T)\), Dispersive effects of weakly compressible and fast rotating inviscid fluids, The Cauchy problem for a quasilinear system of equations with coupling in the linearization, Existence and continuous dependence for solutions to the equations of a one-dimensional model in gas-dynamics, Boundary value problems for equations of viscous heat-conducting gas in time-increasing non-cylindrical domains, Weak solutions of the Navier-Stokes equations for compressible flows in a half-space with no-slip boundary conditions, On the first initial-boundary value problem of the generalized Burgers' equation, On the first initial-boundary value problem of compressible viscous fluid motion, On regular solutions for three-dimensional full compressible Navier-Stokes equations with degenerate viscosities and far field vacuum

Cites Work

• On the existence and uniqueness of solutions of the non-stationary problems for flows of non-compressible fluids
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