Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws
Date
2007-08-22
Authors
Mitrovic, Darko
Susic, Jela
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
From a Hopf equation we develop a recently introduced technique, the weak asymptotic method, for describing the shock wave formation and the interaction processes. Then, this technique is applied to a system of conservation laws arising from pressureless gas dynamics. As an example, we study the shock wave formation process in a two-dimensional scalar conservation laws arising in oil reservoir problems.
Description
Keywords
Weak asymptotic method, Hopf equation, Shock wave formation, Pressureless gas dynamics, System of conservation laws, Multidimensional shocks
Citation
Mitrovic, D., & Susic, J. (2007). Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws. <i>Electronic Journal of Differential Equations, 2007</i>(114), pp. 1-22.
Rights
Attribution 4.0 International