Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations-Reference-Cited by-同舟云学术

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Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations

Published:2023-09-30 Issue:4 Volume:23 Page:
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

Yan Kexin,Wang Hao,Fu Ying^ORCID

Funder

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province

Natural Science Foundation of Shaanxi Province

Natural Science Basic Research Program of Shaanxi Province

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00028-023-00913-y.pdf

Reference23 articles.

1. J. Bourgain, N. Pavlovic, Ill-posedness of the Navier–Stokes equations in a critical space in 3D, J. Funct. Anal., 255 (2008), 2233–2247.

2. R. Camassa, D.D. Holm, An integrable shallow water equation with peaked solitons, Phys. Rev. Lett., 71 (1993), 1661–1664.

3. R.M. Chen, J. Lenells, Y. Liu, Stability of the $$\mu $$-Camassa–Holm Peakons, J. Nonlinear Sci., 23 (2013), 97–112.

4. A. Constantin, W. Strauss, Stability of peakons, Comm. Pure Appl. Math., 53 (2000), 603–610.

5. A.S. Fokas, On a class of physically important integrable equations, Physica D, 87 (2002), 145–150.

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