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pro vyhledávání: '"Mingtao Chen"'
Autor:
Mingtao Chen, Xinwei Guo
Publikováno v:
Nonlinear Analysis: Real World Applications. 37:350-373
In this paper, we investigate an initial boundary value problem for 1D compressible Navier–Stokes/Allen–Cahn system, which describes the motion of a mixture of two viscous compressible fluids. We establish the global existence and uniqueness of s
Autor:
Mingtao Chen, Shengquan Liu
Publikováno v:
Journal of Mathematical Analysis and Applications. 400:174-186
We study strong solutions of the equations of compressible magnetohydrodynamics with zero resistivity in a domain Ω ⊂ R 3 . We establish a criterion for possible breakdown of such solutions at a finite time in terms of both ‖ ∇ u ‖ L 1 ( 0 ,
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 79:1-11
In this paper, we prove a blowup criterion of strong solutions to the Cauchy problem for the three-dimensional equations of compressible viscous micropolar fluids. It is shown that if the density and the velocity satisfy ‖ ρ ‖ L ∞ ( 0 , T ; L
Autor:
Mingtao Chen
Publikováno v:
Nonlinear Analysis: Real World Applications. 13:850-859
We prove that the maximum norm of velocity gradients controls the possible breakdown of smooth (strong) solutions for the 3-dimensional viscous, compressible micropolar fluids. More precisely, if a solution of the system is initially regular and lose
Autor:
Hongjun Yuan, Mingtao Chen
Publikováno v:
Journal of Mathematical Analysis and Applications. 330(2):1179-1193
The aim of this paper is to discuss the positive solutions of the p-Laplace problem − div ( | ∇ u | p − 2 ∇ u ) + g ( u ) | ∇ u | p = λ u q , where p > 1 , q > 1 , g : [ 0 , ∞ ) → [ 0 , ∞ ) is a nonnegative continuous function, λ is
Autor:
Mingtao Chen
Publikováno v:
Boundary Value Problems. 2012
In this article, we consider the compressible micropolar viscous flow in a bounded or unbounded domain Ω ⊆ ℝ3. We prove the existence of unique local strong solutions for large initial data satisfying some compatibility conditions. The key point
Autor:
Mingtao Chen
Publikováno v:
Boundary Value Problems, Vol 2011, Iss 1, p 13 (2011)
This article is concerned with global strong solutions of the micro-polar, compressible flow with density-dependent viscosity coefficients in one-dimensional bounded intervals. The important point in this article is that the initial density may vanis