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Mathematics of Wave Phenomena de Willy Dörfler

Mathematics of Wave Phenomena: Trends in Mathematics

Editat de Willy Dörfler, Marlis Hochbruck, Dirk Hundertmark, Wolfgang Reichel, Andreas Rieder, Roland Schnaubelt, Birgit Schörkhuber
en Limba Engleză Paperback – 3 oct 2021
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.
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Specificații

ISBN-13: 9783030471767
ISBN-10: 3030471764
Ilustrații: VIII, 327 p. 20 illus., 16 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.47 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Trends in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

- 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.

Textul de pe ultima copertă

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.

Caracteristici

Provides a comprehensive overview of current state-of-the-art by renowned experts Contains a unique combination of perspectives from analysis, numerics, inverse problems and selected applications Deals with aspects of mathematics of wave phenomena