Feimin Huang
Chinese Academy of Sciences
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Publication
Featured researches published by Feimin Huang.
Siam Journal on Mathematical Analysis | 2002
Feimin Huang; Zhen Wang
We study the hyperbolic system of Euler equations for an isothermal, compressible fluid. The strong convergence theorem of approximate solutions is proved by the theory of compensated compactness. The existence of a weak entropy solution to Cauchy problems with large
Siam Journal on Mathematical Analysis | 2011
Feimin Huang; Ming Mei; Yong Wang
L^\infty
Communications in Partial Differential Equations | 2005
Feimin Huang
initial data which may include a vacuum is also obtained. We note that we establish the commutation relations not only for the weak entropies but also for the strong ones by using the analytic extension theorem.
Communications in Mathematical Physics | 2010
Feimin Huang; Yi Wang; Tong Yang
In this paper, we study the n-dimensional (
Siam Journal on Mathematical Analysis | 2013
Feimin Huang; Yi Wang; Yong Wang; Tong Yang
n\geq1
Siam Journal on Mathematical Analysis | 2012
Feimin Huang; Ming Mei; Yong Wang; Tong Yang
) bipolar hydrodynamic model for semiconductors in the form of Euler–Poisson equations. In the 1-D case, when the difference between the initial electron mass and the initial hole mass is nonzero (switch-on case), the stability of nonlinear diffusion waves has been open for a long time. In order to overcome this difficulty, we ingeniously construct some new correction functions to delete the gaps between the original solutions and the diffusion waves in
Siam Journal on Mathematical Analysis | 2011
Feimin Huang; Ming Mei; Yong Wang; Huimin Yu
L^2
Archive for Rational Mechanics and Analysis | 2016
Gui-Qiang Chen; Feimin Huang; Tian-Yi Wang
-space, so that we can deal with the 1-D case for general perturbations, and prove the
Siam Journal on Mathematical Analysis | 2012
Feimin Huang; Mingjie Li; Yi Wang
L^\infty
Mathematical Models and Methods in Applied Sciences | 2016
Junghee Cho; Seung-Yeal Ha; Feimin Huang; Chunyin Jin; Dongnam Ko
-stability of diffusion waves in the 1-D case. The optimal convergence rates are also obtained. Furthermore, based on the 1-D results, we establish some crucial energy estimates and apply a new but key inequality to prove the stability of planar diffusion waves in n-D case. This is the first result for the multidimensional bipolar hydrodynamic model of semiconductors.