Abstract
In this paper, we establish the sharp L 1 continuous dependence of entropy solutions of bounded variation for genuinely nonlinear hyperbolic systems of conservation laws. The sharp estimate contains quadratic and cubic dissipation terms which are precisely identified. For general systems, the results hold for solutions with small total variation. For a typical model arising in continuum physics, we can handle solutions with large total variation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
