Pub. Date:
World Scientific / Higher Education Press, China
Some Problems on Nonlinear Hyperbolic Equations and Applications

Some Problems on Nonlinear Hyperbolic Equations and Applications


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This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.

Product Details

ISBN-13: 9789814322881
Publisher: World Scientific / Higher Education Press, China
Publication date: 09/21/2010
Series: Series In Contemporary Applied Mathematics Series , #15
Pages: 452
Product dimensions: 6.20(w) x 9.10(h) x 1.30(d)

Table of Contents

Part I Mathematical and Numerical Analyses of Strongly Nonlinear Plasma Models

Open Boundary Conditions and Computational Schemes for Schrödinger Equations with General Potentials and Nonlinearities Xavier Antoine Pauline Klein Christophe Besse 3

On Hydrodynamic Models for LEO Spacecraft Charging Christophe Besse Saja Borghol Jean-Paul Dudon Thierry Goudon Ingrid Lacroix-Violet 35

Asymptotic Regimes for Plasma Physics with Strong Magnetic Fields Mihai Bostan 56

The Zero-Electron-Mass Limit in the Hydrodynamic Model (Euler-Poisson System) Li Chen 86

Modeling and Simulation of Fluid-Particles Flows Thierry Goudon Pauline Lafitte Mathias Rousset 100

Well-Posedness and Stability of Quantum Hydrodynamics for Semiconductors in R3 Feimin Huang Hailiang Li Akitaka Matsumura Shinji Odanaka 131

Bloch Decomposition-Based Method for High Frequency Waves in Periodic Media Zhongyi Huang Shi Jin Peter A. Markowich Christof Sparber 161

Some Results of the Euler-Poisson System for Plasmas and Semiconductors Ingrid Lacroix-Violet 189

Behavior of Discontinuities in Thermoelasticity with Second Sound Zheng Li Yaguang Wang 213

The Convergence of Euler-Poisson System to the Incompressible Euler Equations Shu Wang Ke Wang Jianwei Yang 225

On the Relaxation-time Limits in Bipolar Hydrodynamic Models for Semiconductors Jiang Xu Wen-An Yong 258

Part II Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications

Observability in Arbitrary Small Time for Discrete Approximations of Conservative Systems Sylvain Ervedoza 283

Logarithmic Decay of Hyperbolic Equations with Arbitrary Small Boundary Damping Xiaoyu Fu 310

A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions Olivier Glass 332

Introduction to the Control of PDE's Vilmos Komornik 344

Exact Controllability and Exact Observability for Quasilinear Hyperbolic Systems: Known Results and Open Problems Tatsien Li Bopeng Rao 374

Waves, Damped Wave and Observation Kim Dang Phung 386

Control Problems for Fluid Equations Jean-Pierre Puel 413

Global Existence of a Degenerate Kirchhoff System with Boundary Dissipation Qiong Zhang 426

Remarks on the Controllability of Some Quasilinear Equations Xu Zhang 437

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