Publication

MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media

Related publications (37)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

The radial wave operator in similarity coordinates

Roland Donninger

We present a rigorous functional analytic setting to study the radial wave equation in similarity coordinates. As an application we analyze linear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity. T ...

American Institute of Physics2010

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

Roland Donninger

We study the wave equation on the real line with a potential that falls off like vertical bar x vertical bar(-alpha) for vertical bar x vertical bar -> infinity where 2 < alpha infini ...

Oxford University Press2010

Analytical study of S-wave propagation across saturated joints in rock masses

Gaofeng Zhao, Jianbo Zhu

Joints are important mechanical and hydrological features of rock masses, and they can greatly affect wave propagation and attenuation across jointed rock masses. Joints often contain liquid, and the presence of liquid will change the mechanical behaviors ...

Crc Press-Taylor & Francis Group, 6000 Broken Sound Parkway Nw, Ste 300, Boca Raton, Fl 33487-2742 Usa2010

Theoretical Methods for Wave Propagation across Jointed Rock Masses

Jian Zhao, Jianbo Zhu

Different methods are presently available for the analysis of wave propagation across jointed rock masses with the consideration of multiple wave reflections between joints. These methods can be divided into two categories. One is based on the displacement ...

Springer Verlag2010

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

Roland Donninger

We prove nonlinear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity tt-=p for [image omitted] in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coo ...

Taylor & Francis2010

Asymptotics and analytic modes for the wave equation in similarity coordinates

Roland Donninger

We consider the radial wave equation in similarity coordinates within the semigroup formalism. It is known that the generator of the semigroup exhibits a continuum of eigenvalues and embedded in this continuum there exists a discrete set of eigenvalues wit ...

Springer Verlag2009

A full-wave solver of the Maxwell's equations in 3D cold plasmas

Laurent Villard, Wilfred Anthony Cooper

A new solver for Maxwell's equations in three-dimensional (3D) plasma configurations is presented. The new code LEMan (Low-frequency ElectroMagnetic wave propagation) determines a global solution of the wave equation in a realistic stellarator geometry at ...

2006