On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws
classification
🧮 math.AP
keywords
conditionconservationdecayentropylawsperiodicprecompactnessscalar
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We propose a new sufficient non-degeneracy condition for the strong precompactness of bounded sequences satisfying the nonlinear first-order differential constraints. This result is applied to establish the decay property for periodic entropy solutions to multidimensional scalar conservation laws.
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