arXiv Analytics

Sign in

arXiv:2010.08752 [math.AP]AbstractReferencesReviewsResources

On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data

Evgeny Yu. Panov

Published 2020-10-17Version 1

Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux and with initial data being a sum of periodic function and a function vanishing at infinity (in the sense of measure).

Categories: math.AP
Subjects: 35L65, 35B40
Related articles: Most relevant | Search more
arXiv:1904.01370 [math.AP] (Published 2019-04-02)
On decay of entropy solutions to multidimensional conservation laws
arXiv:1509.08273 [math.AP] (Published 2015-09-28)
Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness
arXiv:2410.21114 [math.AP] (Published 2024-10-28)
A New Formula for Entropy Solutions for Scalar Hyperbolic Conservation Laws: Convexity Degeneracy of Flux Functions and Fine Properties of Solutions

Links

Toolbox