Generalized Solutions to Conservation Laws
Copyright policy )Generalized Solutions to Conservation Laws
this paper we study generalized solutions in the sense of Colombeau to the Cauchy problem for hyperbolic conservation laws and their parabolic approximations. We obtain existence and uniqueness results both in the scaler case and for systems. The relation of the generalized solution to the classical solution, when the latter exists, is established. An application of our results is to the p -system of gas dynamics with artificial viscosity.
- Shanghai Jiao Tong University China (People's Republic of)
- University of Innsbruck Austria
generalized solutions, parabolic approximation, Hyperbolic conservation laws, existence, Nonlinear parabolic equations, uniqueness, Existence of generalized solutions of PDE, Gas dynamics (general theory), hyperbolic conservation laws
generalized solutions, parabolic approximation, Hyperbolic conservation laws, existence, Nonlinear parabolic equations, uniqueness, Existence of generalized solutions of PDE, Gas dynamics (general theory), hyperbolic conservation laws
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!