Existence, uniqueness, and computation of solutions for mixed problems in compressible fluid flow

DOI10.1016/0022-247X(92)90094-TzbMath0777.35063MaRDI QIDQ1209509

Roger E. Zarnowski

Publication date: 16 May 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemscompressible flowdiscontinuous initial dataone-dimensional Navier-Stokes equations\(H^ 1\) initial dataconvergence of finite difference schemes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Continuous dependence in \(L^ 2\) for discontinuous solutions of the viscous \(p\)-system ⋮ Convergence and error-bound analysis for mixed problems in compressible flow

Cites Work

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• Mixed problems for nonlinear conservation laws
• A Finite-Difference Scheme for the Navier–Stokes Equations of One-Dimensional, Isentropic, Compressible Flow
• Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data
• Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data

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