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Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case
(Iop Publishing LtdBristolInglaterra, 2002)
Localized superluminal solutions to the wave equation in (vacuum or) dispersive media, for arbitrary frequencies and with adjustable bandwidth
(Elsevier Science BvAmsterdamHolanda, 2003)
Analysis of the stability and dispersion for a Riemannian acoustic wave equation
(ELSEVIER SCIENCE INC, 2019-01-15)
The construction of images of the Earth's interior using methods as reverse time migration (RTM) or full wave inversion (FWI) strongly depends on the numerical solution of the wave equation. A mathematical expression of ...
Nonlinear stability of periodic traveling wave solutions to the Schrodinger and the modified Korteweg-de Vries equations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2007)
Evolution equation for short surface waves on water of finite depth
(Elsevier B.V., 2009-08-15)
We address the question of determining the evolution equation for surface waves propagating in water whose depth is much larger than the typical wavelength of the surface disturbance. We avoid making the usual approximation ...
Disturbance and repair of solitary waves in blood vessels with aneurysm
(Elsevier B.V., 2009-01-01)
This paper analyzes the effects of a local increase of radius followed by local variation of the thickness or rigidity of an elastic tube on the behavior of solitary waves. The basic equations for the analysis is a set of ...
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
(Springer, 2006-07-01)
For eta >= 0, we consider a family of damped wave equations u(u) + eta Lambda 1/2u(t) + au(t) + Lambda u = f(u), t > 0, x is an element of Omega subset of R-N, where -Lambda denotes the Laplacian with zero Dirichlet boundary ...
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
(Springer, 2006-07-01)
For eta >= 0, we consider a family of damped wave equations u(u) + eta Lambda 1/2u(t) + au(t) + Lambda u = f(u), t > 0, x is an element of Omega subset of R-N, where -Lambda denotes the Laplacian with zero Dirichlet boundary ...