(特价书)非线性双曲型方程的一些问题与应用

    书籍
    数学书籍
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

　　This book is a collection of manuscripts from lectures given in the French-Chinese Summer Institute on Applied Mathematics, which was held at the School of Mathematical Sciences of Fudan University from September I to September 21, 2008. This Institute was mainly sponsored by the Centre National de Recherche Scientifique (CNRS) and the National Natural Science Foundation of China (NSFC). The activities were organized by the Institut Sino-Frangais de Mathematiques Appliquees (ISFMA). There were more than 70 participants, including graduate students, postdoctors and junior faculty members from universities and research institutions in China and France.
　　This volume is entitled Some Problems on Nonlinear Hyperbolic Equations and Applications. The 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, which represent two subjects of the Institute. These topics are important not only for industrial applications but also for the theory of partial differential equations itself.
　　The main propose of the Institute was to present recent progress and results obtained in the domains related to both subjects and to organize discussions for studying important problems by sustainable collaborations. We hope that this experience will be useful for the activities of the French-Chinese collaboration in the future.
　　During the activities of the Institute, more than 30 lectures of 50 minutes each were delivered. The speakers gave their presentation without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. Each lecture was followed by a free discussion of 30 minutes, so that the participants were able to clarify the situation of each problem and to find interesting subjects to be cooperated in the future. Three mini-courses of 3 x 1.5 hours each were given by Jean-Michel Coron (Universite Paris 6, France), Vilmos Komornik (Universite Louis Pasteur de Strasbourg, France) on the control theory and by Thierry Goudon (INRIA Lille-Nord Europe, France) on the mathematical theory for plasmas.The mini-course notes were prepared for all the students before the activities of the Institute. Moreover, in the middle and before the end of the Institute, we organized two sessions of general discussion on the open problems for future investigations by collaboration.
　　The editors would like to express their sincere thanks to all the authors in this volume for their contributions and to all the participants in the Summer Institute. Liqiang Lu, Zhiqiang Wang and Chunlian Zhou deserve our special thanks for their prompt and effective assistance to make the Institute run smoothly. The editors are grateful to the Centre National de Recherche Scientifique (CNRS), the Consulate General of France in Shanghai, the French Embassy in Beijing, the Institut SinoFrangais de Mathematiques Appliqnees (ISFMA), the National Natural Science Foundation of China (NSFC) and the School of Mathematical Sciences of Fudan University for their help and support. Finally, the editors wish to thank Tianfu Zhao (Senior Editor, Higher Education Press) and Chunlian Zhou for their patience and professional assistance.
　　Tatsien Li, Yuejun Peng, Bopeng Rao
　　April 2010