Some Problems On Nonlinear Hyperbolic Equations And Applications

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.