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LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES
Fourier multiplier weighted modulation space short-time Fourier transform nonlinear Schrodinger equation nonlinear wave equation nonlinear Klein-Gordon equation conservation of energy
2015/12/10
By using tools of time-frequency analysis, we obtain some improvedlocal well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp, 0,s
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities
Free boundary problems of the Euler equation local well-posedness hydrodynamical instabilities
2015/4/3
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities.
On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity
3D Model Incompressible Navier-Stokes Equations Partial Viscosity Analysis of PDEs
2011/8/31
Abstract: In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{...
Local well-posedness for the Sixth-Order Boussinesq Equation
Local well-posedness Sixth-Order Boussinesq Equation
2011/2/25
This work studies the local well-posedness of the initial-value problem for the nonlinear sixth-order Boussinesq equation utt = uxx + uxxxx + uxxxxxx + (u2)xx, where = ±1. We prove local well-posed...
The local well-posedness for Gross-Pitaevskii hierarchies
The local well-posedness Gross-Pitaevskii hierarchies
2010/11/24
We consider the Cauchy problem for the Gross-Pitaevskii infinite linear hierarchy of equations on $\mathbb{R}^n.$ By introducing a quasi-norm in certain Sobolev type spaces of sequences of marginal d...
Local well-posedness and blow up criterion for the Inviscid Boussinesq system in Hölder spaces
inviscid Boussinesq system local well-posedness blow-up criterion
2010/12/9
We prove the local in time existence and a blow up criterion of solution in the H¨older spaces for the inviscid Boussinesq system in RN,N ≥ 2, under the assumptions that the initial
values θ0, u0 ∈ C...