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    题名 作者 年代 出处 被引量
1WELL-POSEDNESS IN CRITICAL SPACES FOR THE FULL COMPRESSIBLE MHD EQUATIONS显示文摘In this paper we prove local well-posedness in critical Besov spaces for the full compressible MHD equations in RN,N ≥ 2,under the assumptions that the initial density is bounded away from zero.The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.边东芬 郭柏灵 2013Acta Mathematica Scientia2013,33,4:2
2THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE显示文摘In this article we consider the compressible viscous magnetohydrodynamic equations with Coulomb force.By spectral analysis and energy methods,we obtain the optimal time decay estimate of the solution.We show that the global classical solution converges to its equilibrium state at the same decay rate as the solution of the linearized equations.郑文轩 谭忠 2020Acta Mathematica Scientia2020,40,6:0
3液晶流体的半强解显示文摘该文将证明,即使初始密度在Ω中没有正下界,二维向列液晶流体存在半强解.该文主要的新颖点在于新估计||аtd||_(L4/3)(I,L^2(Ω))不依赖于p的下界,其中d及ρ分别表示流体的密度与分子方向.高真圣 江飞 王伟伟 2014数学物理学报(A辑)2014,34,2:0
4GLOBAL EXISTENCE AND CONVERGENCE RATES OF SMOOTH SOLUTIONS FOR THE 3-D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITHOUT HEAT CONDUCTIVITY显示文摘In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations without heat conductivity, which is a hyperbolic-parabolic system. The global solutions are obtained by combining the local existence and a priori estimates if H3-norm of the initial perturbation around a constant states is small enough and its L1-norm is bounded. A priori decay-intime estimates on the pressure, velocity and magnetic field are used to get the uniform bound of entropy. Moreover, the optimal convergence rates are also obtained.高真圣 谭忠 吴国春 2014Acta Mathematica Scientia2014,34,1:0
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