本书是现代应用数学丛书中的一本，主要对非线性双曲型方程的一些问题与应用知识作了介绍。全书分为两部分：强非线性等离子体模型中的数学与数值分析 (mathematical and numerical analysis for strongly nonlinear plasma models)，拟线性双曲线系统的精确可控性和可观察性及其应用(exact controllability and observability for quasilinear hyperbolic systems and applications)。该书可供各大专院校作为教材使用，也可供从事相关工作的人员作为参考用书使用。
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非线性双曲型方程的一些问题与应用
李大潜 彭跃军 饶伯鹏 著；
2010-06-28
高等教育出版社
目录
Front Matter
Part I Mathematical and Numerical Analyses of Strongly Nonlinear Plasma Models
Xavier Antoine, Pauline Klein, Christophe Besse
Open Boundary Conditions and Computational Schemes for Schrodinger
Equations with General Potentials and Nonlinearities
Christophe Besse, Saja Borghol, Jean-Paul Dudon, Thierry Goudon,
Ingrid Lacroix-Violet
On Hydrodynamic Models for LEO Spacecraft Charging
Ingrid Lacroix-Violet
On Hydrodynamic Models for LEO Spacecraft Charging
Mihai Bostan
Asymptotic Regimes for Plasma Physics with Strong Magnetic Fields
Li Chen
The Zero-Electron-Mass Limit in the Hydrodynamic Model
(Euler-Poisson System)
Thierry Goudon, Pauline La tte, Mathias Rousset
Modeling and Simulation of Fluid-Particles Flows
Feimin Huang, Hailiang Li, Akitaka Matsumura, Shinji Odanaka
Well-Posedness and Stability of Quantum Hydrodynamics for
Semiconductors in R3
Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber
Bloch Decomposition-Based Method for High Frequency Waves in
Periodic Media
Ingrid Lacroix-Violet
Some Results of the Euler-Poisson System for Plasmas and
Semiconductors
Zheng Li, Yaguang Wang
Behavior of Discontinuities in Thermoelasticity with Second Sound
Shu Wang, Ke Wang, Jianwei Yang
The Convergence of Euler-Poisson System to the Incompressible
Euler Equations
Jiang Xu, Wen-An Yong
On the Relaxation-time Limits in Bipolar Hydrodynamic Models
for Semiconductors
Part II Exact Controllability and Observability for
Quasilinear Hyperbolic Systems and Applications
Sylvain Ervedoza
Observability in Arbitrary Small Time for Discrete Approximations
of Conservative Systems
Xiaoyu Fu
Logarithmic Decay of Hyperbolic Equations with Arbitrary Small
Boundary Damping
Olivier Glass
A Remark on the Controllability of a System of Conservation Laws
in the Context of Entropy Solutions
Vilmos Komornik
Introduction to the Control of PDE’s
Tatsien Li, Bopeng Rao
Exact Controllability and Exact Observability for Quasilinear
Hyperbolic Systems: Known Results and Open Problems
Kim Dang Phung
Waves, Damped Wave and Observation
Jean-Pierre Puel
Control Problems for Fluid Equations
Qiong Zhang
Global Existence of a Degenerate Kirchho System with Boundary
Dissipation
Xu Zhang
Remarks on the Controllability of Some Quasilinear Equations
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