The initial‐value problem for measure‐valued solutions of a canonical 2 × 2 system with linearly degenerate fields
作者:
E. Weinan,
Robert V. Kohn,
期刊:
Communications on Pure and Applied Mathematics
(WILEY Available online 1991)
卷期:
Volume 44,
issue 8‐9
页码: 981-1000
ISSN:0010-3640
年代: 1991
DOI:10.1002/cpa.3160440811
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractWe discuss Serre's restricted formulation of the notion of a measure‐valued solution, for a 2 × 2 system whose characteristic fields are both linearly degenerate. We prove existence, uniqueness, and regularity results for this formulation. As an application, we prove the convergence of a particle method when the high‐frequency component of the exact solution is not resolved by the computational
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