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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 ...
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 ...
Stability properties of periodic traveling waves for the intermediate long wave equation
(European Mathematical Soc, 2017-01-01)
In this paper we determine orbital and linear stability of a class of spatially periodic wavetrain solutions with the mean zero property related to the intermediate long wave equation. Our arguments follow recent developments ...
The geographic spread of "El mal de las caderas" in Capybaras (Hydrochaeris hydrochaeris)
(SpringerNew YorkEUA, 2008)