Some problems on nonlinear hyperbolic equations and applications

Some problems on nonlinear hyperbolic equations and applications

by Li, Daqian Peng, Yuejun Rao, Bopeng

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Pt. I. Mathematical and numerical analyses of strongly nonlinear plasma models. Open boundary conditions and computational schemes for Schrodinger equations with general potentials and nonlinearities / Xavier Antoine, Pauline Klein, Christophe Besse. On hydrodynamic models for LEO spacecraft charging / Christophe Besse [und weitere]. Asymptotic regimes for plasma physics with strong magnetic fields / Mihai Bostan. The zero-electron-mass limit in the hydrodynamic model (Euler-Poisson system) / L…

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Title Statements

  • Full title :Some problems on nonlinear hyperbolic equations and applications / editors, Tatsien Li, Yuejun Peng and Bopeng Rao

Summary

Pt. I. Mathematical and numerical analyses of strongly nonlinear plasma models. Open boundary conditions and computational schemes for Schrodinger equations with general potentials and nonlinearities / Xavier Antoine, Pauline Klein, Christophe Besse. On hydrodynamic models for LEO spacecraft charging / Christophe Besse [und weitere]. Asymptotic regimes for plasma physics with strong magnetic fields / Mihai Bostan. The zero-electron-mass limit in the hydrodynamic model (Euler-Poisson system) / Li Chen. Modeling and simulation of fluid-particles flows / Thierry Gaudon, Pauline Lafitte, Mathias Rousset. Well-posedness and stability of quantum hydrodynamics for semiconductors in R[symbol] / Feimin Huang [und weitere]. Bloch decomposition-based method for high frequency waves in periodic media / Zhongyi Huang [und weitere]. Some results of the Euler-Poisson system for plasmas and semiconductors / Ingrid Lacroix- Violet. Behavior of Discontinuities in Thermoelasticity with Second Sound / Zheng Li, Yaguang Wang. The convergence of Euler-Poisson system to the incompressible Euler equations / Shu Wang, Ke Wang, Jianwei Yang. On the relaxation-time limits in bipolar hydrodynamic models for semiconductors / Jiang Xu, Wen-An Yong -- pt. II. Exact controllability and observability for quasilinear hyperbolic systems and applications. Observability in arbitrary small time for discrete approximations of conservative systems / Sylvain Ervedoza. Logarithmic decay of hyperbolic equations with arbitrary small boundary damping / Xiaoyu Fu. A remark on the controllability of a system of conservation laws in the context of entropy solutions / Olivier Glass. Introduction to the control of PDE's / Vilmos Komornik. Exact controllability and exact observability for quasilinear hyperbolic systems : Known results and open problems / Tatsien Li, Bopeng Rao. Waves, damped wave and observation / Kim Dang Phung. Control problems for fluid equations / Jean-Pierre Puel. Global existence of a degenerate Kirchhoff system with boundary dissipation / Qiong Zhang. Remarks on the Controllability of some quasilinear equations / Xu Zhang

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

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Edition Statements

  • Publication Date:©2010

Publication Statements

The Physical Object

  • Description:1 Online-Ressource (ix, 452 Seiten) : Illustrationen

Edition Identifiers

  • ISBN:9814322881, 9789814322881, 9789814322898, 981432289X
  • oclc:ocn839018070
  • LC Classification:QA372
  • Dewey Decimal:515.35

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