非線性雙曲型方程的一些問題與應用（簡體書）

《非線性雙曲型方程的一些問題與應用(國內英文版)》內容簡介：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.

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
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 Coudon, Pauline Lafitte, Mathias Rousset
Modeling and Simulation of Fluid-Particles Flows
Feimin Huan9, Hailiang Li, Akitaka Matsumura, Shinji Odanaka
Well-Posedness and Stability of Quantum Hydrodynamics for Semiconductors in R3
Zhongyi Huang, $hi Jin, Peter A. Markowieh, 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
Sbu 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 Class
A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions
Vilmos Komornik
Introduction to the Control of PDEs
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 Kirchhoff System with Boundary Dissipation
Xu Zhang
Remarks on the Controllability of Some Quasilinear Equations