Regularity of solutions to scalar conservation laws with a force
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Publication:1719948
DOI10.1016/J.ANIHPC.2018.07.002zbMATH Open1447.35219arXiv1707.06866OpenAlexW2963582789WikidataQ129454498 ScholiaQ129454498MaRDI QIDQ1719948
Author name not available (Why is that?)
Publication date: 12 February 2019
Published in: (Search for Journal in Brave)
Abstract: We prove regularity estimates for entropy solutions to scalar conservation laws with a force. Based on the kinetic form of a scalar conservation law, a new decomposition of entropy solutions is introduced, by means of a decomposition in the velocity variable, adapted to the non-degeneracy properties of the flux function. This allows a finer control of the degeneracy behavior of the flux. In addition, this decomposition allows to make use of the fact that the entropy dissipation measure has locally finite singular moments. Based on these observations, improved regularity estimates for entropy solutions to (forced) scalar conservation laws are obtained.
Full work available at URL: https://arxiv.org/abs/1707.06866
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