Abstract: We show how to apply ideas from the theory of rough paths to the analysis of low-regularity solutions to non-linear dispersive equations. Our basic example will be the one dimensional Korteweg--de Vries (KdV) equation on a periodic domain and with initial condition in FLα,
Stationary solutions on a bounded interval for an initial-boundary value problem to Korteweg–de Vrie...
We study the small dispersion limit for the Korteweg-de Vries (KdV) equation ut+6uux+ϵ2uxxx=0 in a c...
The aim of this thesis is to understand the locall wellposednesstheory for some nonlinear dispersive...
For many dispersive equations, decay of the initial data leads to increased regularity of the soluti...
AbstractThe strong effect of dispersion on short-wavelength disturbances featured by the Korteweg-de...
In this note we give an overview of results concerning the Korteweg-de Vries equation ut = −uxxx + 6...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equation (mKd...
Near linear evolution in Korteweg de Vries (KdV) equation with periodic boundary conditions is estab...
In this note we give an overview of results concerning the Korteweg-deVries equation ut = −uxxx + 6u...
Abstract. We consider a Korteweg-de Vries equation perturbed by a noise term on a bounded interval w...
Abstract. We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u...
International audienceIn this paper we discuss properties of the Korteweg–de Vries (KdV) equation un...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equ...
We continue the study of various nonlinear PDEs under the effect of a time–inhomogeneous and irreg...
Stationary solutions on a bounded interval for an initial-boundary value problem to Korteweg–de Vrie...
We study the small dispersion limit for the Korteweg-de Vries (KdV) equation ut+6uux+ϵ2uxxx=0 in a c...
The aim of this thesis is to understand the locall wellposednesstheory for some nonlinear dispersive...
For many dispersive equations, decay of the initial data leads to increased regularity of the soluti...
AbstractThe strong effect of dispersion on short-wavelength disturbances featured by the Korteweg-de...
In this note we give an overview of results concerning the Korteweg-de Vries equation ut = −uxxx + 6...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equation (mKd...
Near linear evolution in Korteweg de Vries (KdV) equation with periodic boundary conditions is estab...
In this note we give an overview of results concerning the Korteweg-deVries equation ut = −uxxx + 6u...
Abstract. We consider a Korteweg-de Vries equation perturbed by a noise term on a bounded interval w...
Abstract. We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u...
International audienceIn this paper we discuss properties of the Korteweg–de Vries (KdV) equation un...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equ...
We continue the study of various nonlinear PDEs under the effect of a time–inhomogeneous and irreg...
Stationary solutions on a bounded interval for an initial-boundary value problem to Korteweg–de Vrie...
We study the small dispersion limit for the Korteweg-de Vries (KdV) equation ut+6uux+ϵ2uxxx=0 in a c...
The aim of this thesis is to understand the locall wellposednesstheory for some nonlinear dispersive...
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