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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 stability and instability of travelling wave of Korteweg-de Vries type : the periodic case.
(2012-10-04)
In this paper we adapt the work of M. Grillakis, J. Shatah, and W. Strauss, or J. Bona, P.
Souganidis and W. Strauss to the periodic case in spaces having the mean zero property in order
to establish the orbital ...
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)
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 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 ...
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 ...
Orbital Stability Of Periodic Traveling-wave Solutions For The Log-kdv Equation
(Academic Press Inc., 2016)
Traveling waves in the Lethargic Crab Disease
(Elsevier B.V., 2012-06-01)
Since 1997, the Lethargic Crab Disease (LCD) has decimated native populations of the mangrove land crab Ucides cordatus (Decapoda: Ocypodidae) along the Brazilian coast, spreading preferentially in the North-South direction ...
Traveling waves in the Lethargic Crab Disease
(Elsevier B.V., 2012-06-01)
Since 1997, the Lethargic Crab Disease (LCD) has decimated native populations of the mangrove land crab Ucides cordatus (Decapoda: Ocypodidae) along the Brazilian coast, spreading preferentially in the North-South direction ...