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Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media
In part I of this work (Bona J L, Chen M and Saut J-C 2002 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media I: Derivation and the linear theory J.…
Local smoothing properties of dispersive equations
- P. Constantin, J. Saut
- Mathematics
- 1 May 1988
Is it possible for time evolution partial differential equations which are reversible and conservative to smooth locally the initial data? For the linear wave equation, for instance, the answer is…
Ill-Posedness Issues for the Benjamin-Ono and Related Equations
- L. Molinet, J. Saut, N. Tzvetkov
- MathematicsSIAM J. Math. Anal.
- 2001
We establish that the Cauchy problem for the Benjamin--Ono equation and for a rather general class of nonlinear dispersive equations with dispersion slightly weaker than that of the Korteweg--de…
Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory
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Travelling Waves for the Gross-Pitaevskii Equation II
- F. Béthuel, Philippe Gravejat, J. Saut
- Mathematics
- 15 November 2007
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Our arguments, based…
Nonlocal models for nonlinear, dispersive waves
- L. Abdelouhab, J. Bona, M. Felland, J. Saut
- Mathematics
- 1990
Existence results for the flow of viscoelastic fluids with a differential constitutive law
- C. Guillopé, J. Saut
- Mathematics
- 1 October 1990
Dispersion estimates for fourth order Schr?odinger equations
- M. Ben-Artzi, H. Koch, J. Saut
- Mathematics
- 15 January 2000
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