Mathematics of Wave Phenomena

Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics.

Provides a comprehensive overview of current state-of-the-art by renowned experts

- Morawetz Inequalities for Water Waves. - Numerical Study of Galerkin-Collocation Approximation in Time for the Wave Equation. - Effective Numerical Simulation of the Klein-Gordon-Zakharov System in the Zakharov Limit. - Exponential Dichotomies for Elliptic PDE on Radial Domains. - Stability of Slow Blow-Up Solutions for the Critical Focussing Nonlinear Wave Equation on R3+1. - Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces Msp,q (Rd ) ¿M¿,1(Rd ). - FEM-BEM Coupling of Wave-Type Equations: From the Acoustic to the Elastic Wave Equation. - On Hyperbolic Initial-Boundary Value Problems with a Strictly Dissipative Boundary Condition. - On the Spectral Stability of Standing Waves of Nonlocal PT Symmetric Systems. - Sparse Regularizationof Inverse Problems by Operator-Adapted Frame Thresholding. - Soliton Solutions for the Lugiato-Lefever Equation by Analytical and Numerical Continuation Methods. - Error Analysis of Discontinuous Galerkin Discretizations of a Class of Linear Wave-type Problems. - Ill-posedness of the Third Order NLS with Raman Scattering Term in Gevrey Spaces. - Invariant Measures for the DNLS Equation. - A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains. - Existence and Stability of Klein-Gordon Breathers in the Small-Amplitude Limit. - On Strichartz Estimates from l2-Decoupling and Applications. - On a Limiting Absorption Principle for Sesquilinear Forms with an Application to the Helmholtz Equation in a Waveguide. - Some Inverse Scattering Problems for Perturbations of the Biharmonic Operator.