Mathematics of Wave Phenomena

Willy Dörfler, Marlis Hochbruck, Dirk Hundertmark, Wolfgang Reichel, Andreas Rieder, Roland Schnaubelt, Birgit Schörkhuber (Herausgeber)

Buch | Hardcover

VIII, 327 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-47173-6 (ISBN)

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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.
The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.

- 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.

Erscheinungsdatum	04.10.2020
Reihe/Serie	Trends in Mathematics
Zusatzinfo	VIII, 327 p. 20 illus., 16 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	670 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	blow-up • Electromagnetic Waves and Optics • Error Analysis • Finite and Boundary Element Methods • Nonlinear Wave or Schrödinger Equations • Partial differential equations • stability • Time-harmonic Wave Propagation Problems • time integration • Water Waves • Wave phenomena • Waves in Nonlinear Media • Waves in Waveguides
ISBN-10	3-030-47173-X / 303047173X
ISBN-13	978-3-030-47173-6 / 9783030471736
Zustand	Neuware