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Full Description
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.
Contents
Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models: Open Boundary Conditions and Computational Schemes for Schrodinger Equations with General Potentials and Nonlinearities; On Hydrodynamic Models for LEO Spacecraft Charging; Asymptotic Regimes for Plasma Physics with Strong Magnetic Fields; The Zero-Electron-Mass Limit in the Hydrodynamic Model (Euler-Poisson System); Modeling and Simulation of Fluid-Particles Flows; Well-Posedness and Stability of Quantum Hydrodynamics for Semiconductors in R3; Bloch Decomposition Based Method for High Frequency Waves in Periodic Media; Some Results on the Euler-Poisson System for Plasmas and Semiconductors; Behavior of Discontinuities in Thermoelasticity with Second Sound; The Convergence of Euler-Poisson System to the Incompressible Euler Equations; On the Relaxation-Time Limits in Bipolar Hydrodynamic Models for Semiconductors; Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications: Observability in Arbitrary Small Time for Discrete Approximations of Conservative Systems; Logarithmic Decay of Hyperbolic Equations with Arbitrary Small Boundary Dampin; A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions; Introduction to the Control of PDE's; Exact Controllability and Exact Observability for Quasilinear Hyperbolic Systems: Known Results and Open Problems; Waves, Damped Wave and Observation; Control Problems for Fluid Equations; Global Existence of Adegenerate Kirchho(R) System with Boundary Dissipation; Remarks on the Controllability of Some Quasilinear Equation.
