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Nonuniform Dependence on the Initial Data for Solutions of Conservation Laws

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In this paper,we study systems of conservation laws in one space dimension.We prove that for classical solutions in Sobolev spaces Hs,with s＞3/2,the data-to-solution map is not uniformly continuous.Our results apply to all nonlinear scalar conservation laws and to nonlinear hyperbolic systems of two equations.

Conservation lawsData-to-solution mapNonuniform dependence

John M.Holmes、Barbara Lee Keyfitz

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Department of Mathematics,The Ohio State University,Columbus,OH 43210,USA

国家自然科学基金

DMS-2247019

2024

10.1007/s42967-023-00267-9

应用数学与计算数学学报
上海大学

应用数学与计算数学学报

影响因子：0.165
ISSN：1006-6330
年,卷(期)：2024.6(1)
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