Author:
Tang Jiangang,Liu Miao,Lai Shaoyong
Abstract
AbstractGlobal weak solution for a nonlinear model with forth order nonlinearities and conserved quantities is considered. Assuming its initial value satisfies certain assumptions that are weaker than the sign condition, we derive a higher integrability estimate and an upper bound estimate about the space derivatives of its solutions and then prove that the equation has global weak solutions.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference29 articles.
1. Grayshan, K., Himonas, A.: Equations with peakon traveling wave solutions. Adv. Dyn. Syst. Appl. 8, 217–232 (2013)
2. Camassa, R., Holm, D.: An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71, 1661–1664 (1993)
3. Degasperis, A., Procesi, M.: Asymptotic integrability. In: Degasperis, A., Gaeta, G. (eds.) Symmetry and Perturbation Theory, vol. 1, pp. 23–37. World Scientific, Singapore (1999)
4. Novikov, V.: Generalizations of the Camassa–Holm equation. J. Phys. A 42, 342002 (2009)
5. Anco, S.C., Silva, P.L., Freire, I.L.: A family of wave-breaking equations generalizing the Camassa–Holm and Novikov equations. J. Math. Phys. 56, 091506 (2015)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献