Title
Convergence of Viscosity Solutions for Isothermal Gas Dynamics
Abstract
We study the hyperbolic system of Euler equations for an isothermal, compressible fluid. The strong convergence theorem of approximate solutions is proved by the theory of compensated compactness. The existence of a weak entropy solution to Cauchy problems with large L-infinity initial data which may include a vacuum is also obtained. We note that we establish the commutation relations not only for the weak entropies but also for the strong ones by using the analytic extension theorem.
Year
DOI
Venue
2002
10.1137/S0036141002405819
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
isothermal gas dynamics,compensated compactness,analytic extension theorem
Cauchy problem,Mathematical optimization,Mathematical analysis,Viscosity,Compact space,Cauchy distribution,Viscosity solution,Compressible flow,Euler equations,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
34
3
0036-1410
Citations 
PageRank 
References 
3
1.10
0
Authors
2
Name
Order
Citations
PageRank
Feimin Huang1117.68
Zhen Wang231.10