Regularity and stability of finite energy weak solutions for the Camassa–Holm equations with nonlocal viscosity
Author:
Funder
National Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00526-020-01914-2.pdf
Reference39 articles.
1. Bjorland, C., Schonbek, M.E.: On questions of decay and existence for the viscous Camassa–Holm equations. Ann. I. H. Poincaré Anal. Non Linéaire I(25), 907–936 (2008)
2. Bobaru, F., Duanpanya, M.: The peridynamic formulation for transient heat conduction. Int. J. Heat Mass Conduct 53, 4047–4059 (2010)
3. Caffarelli, L., Silvestre, L.: An extension problem related to the fractional Laplacian. Commun. Partial Differ. Eqs. 32, 1245–1260 (2007)
4. Chen, W., Holm, S.: Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency. J. Acoust. Soc. Am. 115, 1424–1430 (2004)
5. Camassa, R., Holm, D.D.: An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71, 1661–1664 (1993)
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1. Regularity of weak solutions for the fractional Camassa–Holm equations;Zeitschrift für angewandte Mathematik und Physik;2022-07-13
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