Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions

Xiao Q.; Zhao H.

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Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions

机译：广义Benjamin-Bona-Mahony-Burgers冲击轮廓的非线性稳定性

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This paper is concerned with nonlinear stability of planar viscous shock profiles of the generalized Benjamin-Bona-Mahony-Burgers equations in two dimensions. Our analysis is motivated by J. Goodman's work (1989) [4] on the nonlinear stability of scalar viscous shock profiles in two dimensions and is based on some new decay estimates on the planar viscous shock profiles of the generalized Benjamin-Bona-Mahony-Burgers equations.

机译：本文涉及二维二维广义Benjamin-Bona-Mahony-Burgers方程的平面粘性冲击轮廓的非线性稳定性。我们的分析是由J. Goodman（1989）[4]在二维尺度上标量粘性激波轮廓的非线性稳定性上激发的，并且基于对广义Benjamin-Bona-Mahony-的平面粘性激波轮廓的一些新的衰减估计。汉堡方程。

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《Journal of Mathematical Analysis and Applications》 |2013年第1期|共23页
作者
Xiao Q.; Zhao H.;
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正文语种 eng
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Continuation argument; Generalized Benjamin-Bona-Mahony-Burgers equations; Nonlinear stability; Planar viscous shock profiles;

机译：连续论;广义Benjamin-Bona-Mahony-Burgers方程;非线性稳定性;平面粘性冲击曲线;

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1. Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions [J] . Xiao Q., Zhao H. Journal of Mathematical Analysis and Applications . 2013,第1期

机译：广义Benjamin-Bona-Mahony-Burgers冲击轮廓的非线性稳定性
2. NONLINEAR STABILITY OF PLANAR SHOCK PROFILES FOR THE GENERALIZED KdV-BURGERS EQUATION IN SEVERAL DIMENSIONS [J] . 陈正争, 肖清华数学物理学报（英文版） . 2013,第006期

机译：几维广义KdV-Burgers方程的平面激波轮廓的非线性稳定性
3. Meshless formulation to two-dimensional nonlinear problem of generalized Benjamin-Bona-Mahony-Burgers through singular boundary method: Analysis of stability and convergence [J] . Chemical geology . 2019,第期

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4. Decay rate of solutions of linear generalized Benjamin-Bona-Mahony-Burgers equation in multi dimensions [C] . Hongmei Xu, Guyu Xin 2011 International Conference on Multimedia Technology . 2011

机译：多维线性广义Benjamin-Bona-Mahony-Burgers方程解的衰减率
5. A study of one-dimensional nonlinear hydromagnetic waves and collisionless shocks. [D] . Lyu, Ling-Hsiao. 1991

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6. Estimation and Inference in Generalized Additive Coefficient Models for Nonlinear Interactions with High-Dimensional Covariates [O] . MA Shujie, Raymond J. Carroll, Hua Liang, -1

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7. Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves [O] . Kevin Zumbrun 2009

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Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions

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