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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, Xiaojing Xu
Publikováno v:
Mathematische Nachrichten. 289:452-470
The paper is devoted to the existence and uniqueness of local solutions for the density-dependent non-Newtonian compressible fluids with vacuum in one-dimensional bounded intervals. The important points in this paper are that the initial density may
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 65:687-710
This paper deals with an initial-boundary value problem to the two-dimensional equations of incompressible micropolar fluids. We first prove that as the angular and micro-rotational viscosities go to zero (i.e., $${\gamma, \zeta \to 0}$$ ), the solut
Autor:
Mingtao Chen
Publikováno v:
Acta Mathematica Scientia. 33:929-935
This paper is concerned with the two-dimensional equations of incompressible micropolar fluid flows with mixed partial viscosity and angular viscosity. The global existence and uniqueness of smooth solution to the Cauchy problem is established.
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:
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