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Global Solutions to a Hydrodynamic Model for Semiconductors with Velocity Relaxation
In this paper, we apply the method given in the paper “Zero relaxation time limits to a hydrodynamic model of two carrier types for semiconductors”...
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Analytical Solutions to a Model of Inviscid Liquid-gas Two-phase Flow with Cylindrical Symmetry and Free Boundary
In this paper, we consider the free boundary value problem for a model of inviscid liquid-gas two-phase flow with cylindrical symmetry. For...
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The Global Existence of BV Solutions of the Isentropic p-System with Large Initial Data
In this paper, we study the global existence of BV solutions of the initial value problem for the isentropic p -system, where the state equation of...
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Generalized Persistence of Entropy Weak Solutions for System of Hyperbolic Conservation Laws
Let u ( t, x ) be the solution to the Cauchy problem of a scalar conservation law in one space dimension. It is well known that even for smooth initial...
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Generalized Newton-Busemann Law for Two-dimensional Steady Hypersonic-limit Euler Flows Passing Ramps with Skin-frictions
By considering Radon measure solutions for boundary value problems of stationary non-isentropic compressible Euler equations on hypersonic-limit...
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Analytical Blowup Solutions to the Compressible Euler Equations with Time-depending Dam**
In this paper, the analytical blowup solutions of the N-dimensional radial symmetric compressible Euler equations are constructed. Some previous...
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The Generalized Riemann Problem for a Chromatography System
The generalized Riemann problem for a model of chromatography system in a conservative form is considered. The unique local solution in the class of...
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Global Stability to Steady Supersonic Rayleigh Flows in One-Dimensional Duct
Heat exchange plays an important role in hydrodynamical systems, which is an interesting topic in theory and application. In this paper, the authors...
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The Shock Waves for a Mixed-Type System from Chemotaxis
In this paper, we study the shock waves for a mixed-type system from Chemotaxis. We are concerned with the jump conditions for the left state which...
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Steady Compressible Euler Equations of Concentration Layers for Hypersonic-limit Flows Passing Three-dimensional Bodies and Generalized Newton-Busemann Pressure Law
for stationary hypersonic-limit Euler flows passing a solid body in three-dimensional space, the shock-front coincides with the upwind surface of the...
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Comparison of Riemann Solutions for Non-isentropic Modified and Pure Chaplygin Gas Dynamics
In this paper, we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas,...
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The Time Asymptotic Expansion of the Bipolar Hydrodynamic Model for Semiconductors
In 2003, Gasser-Hsiao-Li [JDE (2003)] showed that the solution to the bipolar hydrodynamic model for semiconductors (HD model) without do**...
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Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion
In this paper, we are concerned with the necessary and sufficient condition of the global existence of smooth solutions of the Cauchy problem of the...
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Transonic Shock Solutions to the Euler System in Divergent-Convergent Nozzles
In this paper, we study the transonic shock solutions to the steady Euler system in a quasi-one-dimensional divergent-convergent nozzle. For a given...
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Existence in the Large for Pressure-Gradient System
In this paper, the authors use Glimm scheme to study the global existence of BV solutions to Cauchy problem of the pressure-gradient system with...
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High Speed Flight and Partial Differential Equations
Aircraft comes out at the beginning of the last century. Accompanied by the progress of high speed flight the theory of partial differential...
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Global Solutions and Interactions of Non-selfsimilar Elementary Waves for n-D Non-homogeneous Burgers Equation
We investigate the global structures of the non-selfsimilar solutions for n -dimensional ( n -D) non-homogeneous Burgers equation, in which the initial...
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Global Instability of Multi-Dimensional Plane Shocks for Isothermal Flow
In this paper, we are concerned with the long time behavior of the piecewise smooth solutions to the generalized Riemann problem governed by the...
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L2-convergence to nonlinear diffusion waves for Euler equations with time-dependent dam**
In this paper, we are concerned with the asymptotic behavior of L ∞ weak-entropy solutions to the compressible Euler equations with a vacuum and...
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On the Cauchy problem for Aw-Rascle system with linear dam**
The existence of global BV solutions for the Aw-Rascle system with linear dam** is considered. In order to get approximate solutions we consider...