Representation of solutions to wave equations with profile functions

DOI10.1142/S0219530520500128zbMath1452.35089arXiv1905.07294MaRDI QIDQ5132233

Ben Schweizer, Agnes Lamacz

Publication date: 10 November 2020

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07294

zbMATH Keywords

Fourier analysisdispersionlarge time asymptoticseffective equationrepresentation formula

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Wave equation (35L05) Solutions to PDEs in closed form (35C05)

Cites Work

• Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures
• Dispersive limits in the homogenization of the wave equation.
• Asymptotic Approximations of Integrals
• Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization
• DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA
• Dispersive homogenized models and coefficient formulas for waves in general periodic media
• A Dispersive Effective Medium for Wave Propagation in Periodic Composites
• Lattice Dynamics on Large Time Scales and Dispersive Effective Equations
• A Space-Time Wigner Function Approach to Long Time Schrödinger--Poisson Dynamics
• Long-time homogenization and asymptotic ballistic transport of classical waves
• Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
• Effective Models for Long Time Wave Propagation in Locally Periodic Media
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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