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| 1 | Preface显示文摘This special issue of Acta Mathematica Scientia is dedicated to the celebration of the 70th birthday of Constantine M. Dafermos. Costas is the Alumni-Alumnae University Professor of Brown University, a Fellow of the American Academy of Arts and Sciences, | Chen, Gui-Qiang G. Hsiao, Ling Huang, Feimin Tzavaras, Athanasios Wang, Zhen | 2012 | Acta Mathematica Scientia2012，32，1： | 72 |
| 2 | Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks显示文摘We study the vanishing viscosity of the Navier-Stokes equations for interacting shocks. Given an entropy solution to p-system which consists of two different families of shocks interacting at some positive time,we show that such entropy solution is the vanishing viscosity limit of a family of global smooth solutions to the isentropic Navier-Stokes equations. The key point of the proofs is to derive the estimates separately before and after the interaction time and connect the incoming and outgoing viscous shock profiles. | HUANG FeiMin WANG Yi WANG Yong YANG Tong | 2015 | Science China Mathematics2015，58，4： | 6 |
| 3 | ASYMPTOTIC BEHAVIOR OF SOLUTIONS TOWARD THE SUPERPOSITION OF CONTACT DISCONTINUITY AND SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY显示文摘A free boundary problem for the one-dimensional compressible Navier-Stokes equations is investigated.The asymptotic behavior of solutions toward the superposition of contact discontinuity and shock wave is established under some smallness conditions.To do this,we first construct a new viscous contact wave such that the momentum equation is satisfied exactly and then determine the shift of the viscous shock wave.By using them together with an inequality concerning the heat kernel in the half space,we obtain the desired a priori estimates.The proof is based on the elementary energy method by the anti-derivative argument. | Hakho Hong Feimin Huang | 2012 | Acta Mathematica Scientia2012，32，1： | 4 |
| 4 | Zero Dissipation Limit to Rarefaction Waves for the 1-D Compressible Navier-Stokes Equations显示文摘The zero dissipation limit for the one-dimensional Navier-Stokes equations of compressible,isentropic gases in the case that the corresponding Euler equations have rarefaction wave solutions is investigated in this paper.In a paper(Comm.Pure Appl.Math.,46,1993,621-665) by Z.P.Xin,the author constructed a sequence of solutions to one-dimensional Navier-Stokes isentropic equations converging to the rarefaction wave as the viscosity tends to zero.Furthermore,he obtained that the convergence rate is ε 1/4 | ln ε|.In this paper,Xin's convergence rate is improved to ε1/3|lnε|2 by different scaling arguments.The new scaling has various applications in related problems. | Feimin HUANG Xing LI | 2012 | Chinese Annals of Mathematics,Series B2012，33，3： | 4 |
| 5 | Stability of planar diffusion wave for nonlinear evolution equation Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010显示文摘 | HE Cheng HUANG FeiMin YONG Yan | 2012 | Science China Mathematics2012，55，1： | 3 |
| 6 | Large time behavior of Euler-Poisson system for semiconductor显示文摘In this note,we present a framework for the large time behavior of general uniformly bounded weak entropy solutions to the Cauchy problem of Euler-Poisson system of semiconductor devices.It is shown that the solutions converges to the stationary solutions exponentially in time.No smallness and regularity conditions are assumed. | HUANG FeiMin PAN RongHua YU HuiMin | 2008 | Science China Mathematics2008，51，5： | 2 |
| 7 | Thermal Creep Flow for the Boltzmann Equation显示文摘It is known that the Boltzmann equation has close relation to the classical systems in fluid dynamics. However, it provides more information on the microscopic level so that some phenomena, like the thermal creep flow, can not be modeled by the classical systems of fluid dynamics, such as the Euler equations. The author gives an example to show this phenomenon rigorously in a special setting. This paper is completely based on the author's recent work, jointly with Wang and Yang. | Feimin HUANG | 2015 | Chinese Annals of Mathematics,Series B2015，36，5： | 1 |
| 8 | Viscous Shock Wave and Boundary Layer Solution to an Inflow Problem for Compressible Viscous Gas显示文摘 | Feimin Huang Akitaka Matsumura Xiaoding Shi | 2003 | Communications in Mathematical Physics (-)2003，，1： | 1 |
| 9 | Existence of two solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions显示文摘 | HUANG Feimin | | 0，，： | 1 |
| 10 | Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier–Stokes System显示文摘 | Feimin Huang Jing Li Akitaka Matsumura | 2010 | Archive for Rational Mechanics and Analysis2010，，1： | 1 |
| 11 | Stability of Contact Discontinuities for the 1-D Compressible Navier-Stokes Equations显示文摘 | Feimin Huang Akitaka Matsumura Zhouping Xin | 2006 | Archive for Rational Mechanics and Analysis2006，，1： | 1 |
| 12 | Viscous shock wave and buondary layer solution to an inflow problem for compressible viscous gas显示文摘 | HUANG Feimin MATSUMURA A SHI Xiaoding | 2003 | Commun Math Phys2003，239，： | 1 |
| 13 | On the stability of contact discontinuity for compressible navier-stokes equation with free boundary显示文摘 | HUANG Feimin MATSUMURA A SHI Xiaoding | 2004 | Osaka J Math2004，41，： | 1 |
| 14 | Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas显示文摘 | Huang Feimin Matsumura A Shi Xiaoding | 2003 | Com-mun Math Phys2003，239，： | 1 |
| 15 | Convergence to the Barenblatt Solution for the Compressible Euler Equations with Damping and Vacuum显示文摘 | Feimin Huang Pierangelo Marcati Ronghua Pan | 2005 | Archive for Rational Mechanics and Analysis2005，，1： | 1 |
| 16 | Convergence Rate for Compressible Euler Equations with Damping and Vacuum显示文摘 | Feimin Huang Ronghua Pan | 2003 | Archive for Rational Mechanics and Analysis2003，，4： | 1 |
| 17 | Viscous Shock Wave and Boundary Layer Solution to an Inflow Problem for Compressible Viscous Gas显示文摘 | Feimin Huang Akitaka Matsumura Xiaoding Shi | 2003 | Communications in Mathematical Physics (-)2003，，1： | 1 |
| 18 | Convergence of viscosi- ty solutions for isothermal gas dynamics显示文摘 | Huang Feimin Wang Zhen | 2002 | SIAM Journal on Mathemalical Analysis2002，34，3： | 1 |
| 19 | Well Posedness for Pressureless Flow显示文摘 | Feimin Huang Zhen Wang | 2001 | Communications in Mathematical Physics2001，，1： | 1 |
| 20 | NON-CLASSICAL GENERALIZED SOLUTIONS FOR SOME HYPERBOLIC SYSTEMS显示文摘We consider some hyperbolic systems whose solutions are measures, not theusual functions under certain initial data. By introducing new methods which are generatedfrom a new notion on generalized solution, some results of existence and uniqueness ofentropy solution for these systems are obtained. In particular, our results include the caseof gas dynamical equations with zero pressure.Besides, we also investigate two-dimensional problems of conservation laws. For a specialhyperbolic system, we prove existence and uniqueness of solution, and for simplified Eulerequations, we construct solutions of Riemann problems where initial data have two differentconstant states which are separated by initial discontinuity. Some new phenomena of 2-Dsolutions are discovered. | DING Xiaqi(Institute of Applied Mathematics, Academia Sinica,Beijing 100080, China)LI Caizhong(Department of Applied Mathematics, Sichuan Union University,Chengdu 610065, China)HUANG Feimin(Institute of Applied Mathematics, Academia Sinica,Beijing 100080, | 1999 | Systems Science and Mathematical Sciences1999，12，S1： | 1 |
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