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Existence and stability of periodic travelling-wave solutions of the Benjamin equation
(Amer Inst Mathematical SciencesSpringfieldEUA, 2005)
A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic
(Sage Publications, 2018)
A class of constitutive relations for elastic bodies has been proposed recently, where the linearized strain tensor is expressed as a nonlinear function of the stress tensor. Considering this new type of constitutive ...
POSITIVITY PROPERTIES OF THE FOURIER TRANSFORM AND THE STABILITY OF PERIODIC TRAVELLING-WAVE SOLUTIONS
(SIAM PUBLICATIONS, 2008)
In this paper we establish a method to obtain the stability of periodic travelling-wave solutions for equations of Korteweg-de Vries-type u(t) + u(p)u(x) - Mu(x) = 0, with M being a general pseudodifferential operator and ...
STABILITY FOR THE MODIFIED AND FOURTH-ORDER BENJAMIN-BONA-MAHONY EQUATIONS
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)
Nonlinear stability of periodic traveling wave solutions to the Schrodinger and the modified Korteweg-de Vries equations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2007)
GLOBAL WELL-POSEDNESS AND NON-LINEAR STABILITY OF PERIODIC TRAVELING WAVES FOR A SCHRODINGER-BENJAMIN-ONO SYSTEM
(AMER INST MATHEMATICAL SCIENCES, 2009)
The objective of this paper is two-fold: firstly, we develop a local and global (in time) well-posedness theory for a system describing the motion of two fluids with different densities under capillary-gravity waves in a ...