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- Peking UniversityCN249 papers
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9 papers · 2 filters
Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
Qionglei Chen, Changxing Miao, Zhifei Zhang
In this paper, we prove the local well-posedness in critical Besov spaces for the compressible Navier-Stokes equations with density dependent viscosities under the assumption that…
On the uniqueness of weak solutions for the 3D Navier-Stokes equations
Qionglei Chen, Changxing Miao, Zhifei Zhang
In this paper, we improve some known uniqueness results of weak solutions for the 3D Navier-Stokes equations. The proof uses the Fourier localization technique and the losing deriv…
Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces
Baoquan Yuan, Jia Yuan
In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat tran…
Global wellposedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions
Changxing Miao, Guixiang Xu, Lifeng Zhao
We consider the defocusing energy-critical nonlinear Schrödinger equation of fourth order . We prove that any finite energy solution is global and s…
Global wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case
Changxing Miao, Guixiang Xu, Lifeng Zhao
We consider the focusing energy-critical nonlinear Schrödinger equation of fourth order . We prove that if a maximal-lifespan radial solution $u: I\t…
Global well-posedness and scattering for the defocusing -subcritical Hartree equation in
Changxing Miao, Guixiang Xu, Lifeng Zhao
We prove the global well-posedness and scattering for the defocusing -subcritical (that is, ) Hartree equation with low regularity data in , $d\ge…