GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS

Katrin Grunert; Helge Holden; Xavier Raynaud

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GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS

机译：具有渐近渐近性的初始数据的Camassa-Holm方程的整体保守解

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摘要

We show existence of global conservative solutions of the Cauchy problem for the Camassa-Holm equation u_t - u_(txx) + ku_x + 3uu_x - 2u_xu_(xx) -uu_(xxx) = 0 with nonvanishing and distinct spatial asymptotics.

机译：我们显示了Camassa-Holm方程u_t-u_（txx）+ ku_x + 3uu_x-2u_xu_（xx）-uu_（xxx）= 0的柯西问题的全局保守解的存在，且它们没有消失且具有明显的空间渐近性。

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来源
《Discrete and continuous dynamical systems》 |2012年第12期|p.4209-4227|共19页
作者
Katrin Grunert; Helge Holden; Xavier Raynaud;
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作者单位

Department of Mathematical Sciences Norwegian University of Science and Technology NO-7491 Trondheim, Norway;

Department of Mathematical Sciences Norwegian University of Science and Technology NO-7491 Trondheim, Norway and Centre of Mathematics for Applications University of Oslo NO-0316 Oslo, Norway;

Centre of Mathematics for Applications University of Oslo NO-0316 Oslo,Norway;

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1. Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics [J] . Katrin Grunert, Helge Holden, Xavier Raynaud Nonlinear analysis. Real world applications . 2014,第Null期

机译：两组分Camassa-Holm系统的耗散解，用于无渐近渐近性的初始数据
2. Long-time asymptotic solution structure of Camassa-Holm equation subject to an initial condition with non-zero reflection coefficient of the scattering data [J] . Chang Chueh-Hsin, Yu Ching-Hao, Sheu Tony Wen-Hann Journal of Mathematical Physics . 2016,第10期

机译：初始条件下散射数据非零反射系数的Camassa-Holm方程的长时间渐近解结构
3. Global conservative and dissipative solutions of a coupled Camassa-Holm equations [J] . Lixin Tian, Yujuan Wang, Jiangbo Zhou Journal of Mathematical Physics . 2011,第6期

机译：耦合Camassa-Holm方程的整体保守和耗散解
4. ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH GENERALIZED FUNCTIONS INITIAL VALUE [C] . KUNIO YOSHINO, YASUYUKI OKA ICM Satellite Conference on Complex Analysis and Potential Theory . 2007

机译：具有广义功能的热方程的渐近扩展初始值
5. Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows. [D] . Perepelitsa, Mikhail. 2004

机译：对于可压缩流体流的Navier-Stokes方程，具有大量不连续初始数据的解决方案的全球存在。
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

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7. Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics [O] . Grunert, Katrin, Holden, Helge, Raynaud, Xavier 2011

机译：初始条件下Camassa-Holm方程的全局保守解数据非渐近渐近

GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS

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