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- W1989006082 abstract "ABSTRACT We obtain a “weak = strong” theorem for the admissible weak solutions, constructed by the authors in (Zhouping Xin; Ping Zhang. On the Weak Solutions to Shallow Water Equations. Comm. Pure Appl. Math. 2000, 53, 1411–1433.) to a shallow water equation. In particular, this result implies the uniqueness of weak solution to this equation when and is a positive Radon measure. Moreover, with additional assumption on the solutions, we prove that the admissible weak solutions constructed in (Zhouping Xin; Ping Zhang. On the Weak Solutions to Shallow Water Equations Comm. Pure Appl. Math. 2000, 53, 1411–1433.) tend to 0 pointwisely as" @default.
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- W1989006082 date "2002-01-12" @default.
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- W1989006082 title "ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION" @default.
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- W1989006082 doi "https://doi.org/10.1081/pde-120016129" @default.
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