Zobrazeno 1 - 10
of 71 017
pro vyhledávání: '"P, Holm"'
Autor:
Zhang, Zixing, Liu, Q. P.
A two-component generalization of the Camassa-Holm equation and its reduction proposed recently by Xue, Du and Geng [Appl. Math. Lett. {\bf 146} (2023) 108795] are studied. For this two-component equation, its missing bi-Hamiltonian structure is cons
Externí odkaz:
http://arxiv.org/abs/2412.04124
Autor:
Guo, Mingyue, Shi, Zhenhua
This paper examines a generalization of the Camassa-Holm equation from the perspective of integrability. Using the framework developed by Dubrovin on bi-Hamiltonian deformations and the general theory of quasi-integrability, we demonstrate that a uni
Externí odkaz:
http://arxiv.org/abs/2412.01260
We study the formation of singularities in the Camassa-Holm (CH) equation, providing a detailed description of the blow-up dynamics and identifying the precise H\"older regularity of the gradient blow-up solutions. To this end, we first construct sel
Externí odkaz:
http://arxiv.org/abs/2412.00558
Autor:
Johnson, Mathew A., Oregero, Jeffrey
In this paper, we study the nonlinear wave modulation of arbitrary amplitude periodic traveling wave solutions of the Camassa-Holm (CH) equation. Slow modulations of wave trains is often described through Whitham's theory of modulations, which at lea
Externí odkaz:
http://arxiv.org/abs/2410.22219
We investigate the effects of the interaction between time-inhomogeneous damping, non-local diffusion, and noise on classical solutions to the Camassa--Holm equations that incorporate these additional factors. Initially, a local-in-time theory is dev
Externí odkaz:
http://arxiv.org/abs/2410.07649
Autor:
Anh, Cung The, Giang, Nguyen Hai Ha
This work is a continuation of the previous one in [{\it Optimization} (2023)], where the existence of optimal solutions and first-order necessary optimality conditions in both Pontryagin's maximum principle form and the variational form were proved
Externí odkaz:
http://arxiv.org/abs/2409.19347
Autor:
Zhou, Yonghui, Li, Xiaowan
This paper is concerned with the wave breaking phenomena for a coupled periodic Camassa-Holm system. We establish a new blowup criterion for strong solutions by the method of characteristic and convolution estimates, and also give the existence inter
Externí odkaz:
http://arxiv.org/abs/2409.09762
Publikováno v:
Antarctic Record, Vol 68, Pp 36-87 (2024)
The 65th Japanese Antarctic Research Expedition (JARE-65) conducted geological field surveys in Lützow-Holm Bay, Prince Olav Coast and Enderby Land regions during the 2023-2024 austral summer season. The field party consisted of four geologists. A s
Externí odkaz:
https://doaj.org/article/a36ed2013b9a48dc9c00bc35fe8e9356
