... JERRY L. BONA, CHUN-HSIUNG HSIA, TIAN MA, AND SHOUHONG WANG ... The Hopf bifurcation was gene... more ... JERRY L. BONA, CHUN-HSIUNG HSIA, TIAN MA, AND SHOUHONG WANG ... The Hopf bifurcation was generalized to infinite dimensional setting for PDEs by Crandall and Rabinowitz [3], Marsden and McCracken [11], and Henry [4]. Both stability and instability issues are ...
Abstract We consider solitary-wave solutions of model equations for long waves that feature a gen... more Abstract We consider solitary-wave solutions of model equations for long waves that feature a general form of linear dispersion. Sufficient conditions for the non-linear stability of such solutions are derived. These conditions are shown to obtain for the Korteweg-de Vries equation and certain of its generalizations such as the Benjamin-Ono equation and the intermediate long-wave equation.
Page 1. Three-dimensional model for the formation of longshore sand structures on the continental... more Page 1. Three-dimensional model for the formation of longshore sand structures on the continental shelf This article has been downloaded from IOPscience. Please scroll down to see the full text article. 1995 Nonlinearity 8 781 (http://iopscience.iop.org/0951-7715/8/5/008) ...
For a class of generalized Korteweg-de Vries equations of the form ut + (up)x-Dβux = 0 (*) posed ... more For a class of generalized Korteweg-de Vries equations of the form ut + (up)x-Dβux = 0 (*) posed in ℝ and for the focusing nonlinear Schrödinger equations iut + Δu + |u|pu = 0 (**) posed on ℝn, it is well known that the initial-value problem is globally in time well posed provided the exponent p is less than a
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1997
Page 1. Model equations for waves in stratified fluids BY JP ALBERT1, JL BONA2 AND J.-C. SAUT3 1D... more Page 1. Model equations for waves in stratified fluids BY JP ALBERT1, JL BONA2 AND J.-C. SAUT3 1Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA 2Department of Mathematics and Texas Institute ...
... JERRY L. BONA, CHUN-HSIUNG HSIA, TIAN MA, AND SHOUHONG WANG ... The Hopf bifurcation was gene... more ... JERRY L. BONA, CHUN-HSIUNG HSIA, TIAN MA, AND SHOUHONG WANG ... The Hopf bifurcation was generalized to infinite dimensional setting for PDEs by Crandall and Rabinowitz [3], Marsden and McCracken [11], and Henry [4]. Both stability and instability issues are ...
Abstract We consider solitary-wave solutions of model equations for long waves that feature a gen... more Abstract We consider solitary-wave solutions of model equations for long waves that feature a general form of linear dispersion. Sufficient conditions for the non-linear stability of such solutions are derived. These conditions are shown to obtain for the Korteweg-de Vries equation and certain of its generalizations such as the Benjamin-Ono equation and the intermediate long-wave equation.
Page 1. Three-dimensional model for the formation of longshore sand structures on the continental... more Page 1. Three-dimensional model for the formation of longshore sand structures on the continental shelf This article has been downloaded from IOPscience. Please scroll down to see the full text article. 1995 Nonlinearity 8 781 (http://iopscience.iop.org/0951-7715/8/5/008) ...
For a class of generalized Korteweg-de Vries equations of the form ut + (up)x-Dβux = 0 (*) posed ... more For a class of generalized Korteweg-de Vries equations of the form ut + (up)x-Dβux = 0 (*) posed in ℝ and for the focusing nonlinear Schrödinger equations iut + Δu + |u|pu = 0 (**) posed on ℝn, it is well known that the initial-value problem is globally in time well posed provided the exponent p is less than a
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1997
Page 1. Model equations for waves in stratified fluids BY JP ALBERT1, JL BONA2 AND J.-C. SAUT3 1D... more Page 1. Model equations for waves in stratified fluids BY JP ALBERT1, JL BONA2 AND J.-C. SAUT3 1Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA 2Department of Mathematics and Texas Institute ...
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