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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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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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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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Generalized Riemann Problem on the Decay of a Discontinuity with Additional Conditions at the Boundary and Its Application for Constructing Computational Algorithms
We construct an approximation of the fundamental solution of a problem for a hyperbolic system of first-order linear differential equations with...
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A Quasilinear System Related with the Asymptotic Equation of the Nematic Liquid Crystal’s Director Field
In this paper, the author studies the local existence of strong solutions and their possible blow-up in time for a quasilinear system describing the...
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Exact Boundary Controllability of Weak Solutions for a Kind of First Order Hyperbolic System — the HUM Method
The exact boundary controllability and the exact boundary observability for the 1-D first order linear hyperbolic system were studied by the...
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Time-Periodic Solutions to Quasilinear Hyperbolic Systems on General Networks
For quasilinear hyperbolic systems on general networks with time-periodic boundary-interface conditions with a dissipative structure, the existence...
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Exact Boundary Controllability of Weak Solutions for a Kind of First Order Hyperbolic System — The Constructive Method
In this paper the authors first present the definition and some properties of weak solutions to 1-D first order linear hyperbolic systems. Then they...
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Stability of Rarefaction Wave to the 1-D Piston Problem for the Pressure-Gradient Equations
The 1-D piston problem for the pressure gradient equations arising from the flux-splitting of the compressible Euler equations is considered. When...
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Mathematical Analysis of the **-Neelin Model of El Niño-Southern-Oscillation
The **-Neelin model for the El Niño–Southern Oscillation (ENSO for short) is considered for which the authors establish existence and uniqueness of...
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A semigroup proof for the well-posedness of the linearised shallow water equations
We present a derivation of the shallow water equations and their linearisation from basic physical principles, and show the well-posedness of the...
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Lions Regularization of the Telegraph System with Nonlinear Boundary Conditions
The purpose of this paper is to study a Lions type regularization of the telegraph system with nonlinear boundary conditions. An asymptotic expansion...
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The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow
In this paper, the authors consider the expansion problem of a wedge of gas into vacuum for the two-dimensional Euler equations in isothermal flow....
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Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues
For first-order quasilinear hyperbolic systems with zero eigenvalues, the author establishes the local exact controllability in a shorter time-period...
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Optimal control in renewable resources modeling
A system of renewal equations on a graph provides a framework to describe the exploitation of a biological resource. In this context, we formulate an...
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An overview on the approximation of boundary Riemann problems through physical viscosity
This note aims at providing an overview of some recent results concerning the viscous approximation of so-called boundary Riemann problems for...
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Global exact boundary controllability for general first-order quasilinear hyperbolic systems
For general first-order quasilinear hyperbolic systems, based on the analysis of simple wave solutions along characteristic trajectories, the global...
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Feedback stabilization for a scalar conservation law with PID boundary control
This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an...
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Two phase flow arising in hydraulics
The aim of this paper is to proceed in the study of the system which will be specified below. The system concerns fluid flow in a simple hydraulic...