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8 papers · 1 filter
Global strong solutions to a compressible fluid-particle interaction model with density-dependent friction force
Fucai Li, Jinkai Ni, Man Wu
We investigate the Cauchy problem for a fluid-particle interaction model in . This model consists of the compressible barotropic Navier-Stokes equations and the Vlaso…
Global existence and decay rates of strong solutions to the diffusion approximation model in radiation hydrodynamics
Peng Jiang, Fucai Li, Jinkai Ni
In this paper, we study the global well-posedness and optimal time decay rates of strong solutions to the diffusion approximation model in radiation hydrodynamics in …
Global well-posedness and decay rates of strong solutions to the incompressible Vlasov-MHD system
Fucai Li, Jinkai Ni, Man Wu
In this paper, we study the global well-posedness and decay rates of strong solutions to an incompressible Vlasov-MHD model arising in magnetized plasmas. This model is consist of…
Global well-posedness and large-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction
Fucai Li, Houzhi Tang, Shuxing Zhang
The classical Fourier's law, which states that the heat flux is proportional to the temperature gradient, induces the paradox of infinite propagation speed for heat conduction. To…
A sharp trace Adams' inequality in and Existence of the extremals
Lu Chen, Guozhen Lu, Maochun Zhu
Let be a bounded domain with smooth boundary . In this paper, we establish the following sharp form of the trace Adams' inequality in $W^{2,2…
Herglotz' variational principle and Lax-Oleinik evolution
Piermarco Cannarsa, Wei Cheng, Liang Jin +2
We develop an elementary method to give a Lipschitz estimate for the minimizers in the problem of Herglotz' variational principle proposed in \cite{CCWY2018} in the time-dependent…