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.Sample Chapter(s)Chapter 1: Open Boundary Conditions and Computational Schemes for Schrödinger Equations with General Potentials and Nonlinearities (7,566 KB)Contents:Mathematical and Numerical Analyses of Strongly Nonlinear Plasma Models:Open Boundary Conditions and Computational Schemes for Schrödinger Equations with General Potentials and Nonlinearities (X Antoine et al.)On Hydrodynamic Models for LEO Spacecraft Charging (C Besse et al.)Asymptotic Regimes for Plasma Physics with Strong Magnetic Fields (M Bostan)The Zero-Electron-Mass Limit in the Hydrodynamic Model (Euler-Poisson System) (L Chen)Modeling and Simulation of Fluid-Particles Flows (T Goudon et al.)Well-Posedness and Stability of Quantum Hydrodynamics for Semiconductors in ℝ3 (F-M Huang et al.)Bloch Decomposition Based Method for High Frequency Waves in Periodic Media (Z-Y Huang et al.)Some Results of the Euler-Poisson System for Plasmas and Semiconductors (I Lacroix-Violet)Behavior of Discontinuities in Thermoelasticity with Second Sound (Z Li & Y-G Wang)The Convergence of Euler-Poisson System to the Incompressible Euler Equations (S Wang et al.)On the Relaxation-Time Limits in Bipolar Hydrodynamic Models for Semiconductors (J Xu & W-A Yong)Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications:Observability in Arbitrary Small Time for Discrete Approximations of Conservative Systems (S Ervedoza)Logarithmic Decay of Hyperbolic Equations with Arbitrary Small Boundary Dampin (X-Y Fu)A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions (O Glass)Introduction to the Control of PDE's (V Komornik)Exact Controllability and Exact Observability for Quasilinear Hyperbolic Systems: Known Results and Open Problems (T-S Li & B-P Rao)Waves, Damped Wave and Observation (K D Phung)Control Problems for Fluid Equations (J-P Puel)Global Existence of a Degenerate Kirchhoff System with Boundary Dissipation (Q Zhang)Remarks on the Controllability of Some Quasilinear Equations (X Zhang)Readership:Graduate students and researchers in applied mathematics.