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Can I read Existence Theory for Nonlinear Hyperbolic Systems in Nonconservative Form on EtoBox?
Existence Theory for Nonlinear Hyperbolic Systems in Nonconservative Form by Philippe Le Floch; Tai-Ping Liu is a Mathematics article available to read on EtoBox.
What is Existence Theory for Nonlinear Hyperbolic Systems in Nonconservative Form about?
This paper deals with the Cauchy problem for nonlinear strictly hyperbolic Systems in nonconservative form. Weak Solutions to these Systems in the space of bounded functions of bounded Variation are understood in the sense of Volpert [Vo] or, more generally, in the one proposed by Dal Maso-Le Floch-Murat [DLM]. Assuming that each characteristic field of the System is either genuinely nonlinear or linearly degenerate and the total Variation of the initial data is sufficiently small, we prove the convergence of the random-choice method (introduced by Glimm in the context of Systems of conservation laws). Our proof is based on the result of pointwise convergence due to the second author [Li3]. Our result proves the existence of entropy weak Solutions of bounded Variation for general Systems in nonconservative form.
Who reads Existence Theory for Nonlinear Hyperbolic Systems in Nonconservative Form?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Philippe Le Floch; Tai-Ping Liu
- Publisher
- Walter de Gruyter GmbH
- Published
- 1993
- Language
- EN
- Field
- Mathematics (Physical Sciences)