Publications associées à The radial wave operator in similarity coordinates

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

This paper is devoted to the study of the generalized impedance boundary conditions (GIBCs) for a strongly absorbing obstacle in the time regime in two and three dimensions. The GIBCs in the time domain are heuristically derived from the corresponding cond ...

World Scientific Publishing2015

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Joachim Krieger

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

on

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Fabio Nobile

In this paper we propose and analyze a stochastic collocation method for solving the second order wave equation with a random wave speed and subjected to deterministic boundary and initial conditions. The speed is piecewise smooth in the physical space and ...

Springer Verlag2013

FE heterogeneous multiscale method for long time wave propagation

Assyr Abdulle

A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the numerical solution of the wave equation over long times in a rapidly varying medium. Our FE-HMM captures long-time dispersive effects of the true solution at a cost similar t ...

Elsevier France-Editions Scientifiques Medicales Elsevier2013

Inelastic x-ray study of phonon broadening and charge-density wave formation in ortho-II-ordered YBa_{2}Cu_{3}O_{6.54}

Johan Juul Chang

Inelastic x-ray scattering is used to investigate charge-density wave (CDW) formation and the low-energy lattice dynamics of the underdoped high-temperature superconductor ortho-II YBa2Cu3O6.54. We find that, for a temperature similar to 1/3 of the CDW ons ...

Amer Physical Soc2013

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Roland Donninger

We consider semiclassical Schr"odinger operators on the real line of the form

H(\hbar)=-\hbar^2 \frac{d^2}{dx^2}+V(\cdot;\hbar)

with

\hbar>0

small. The potential

V

is assumed to be smooth, positive and exponentially decaying towards infinity. We e ...

Springer Basel Ag2012

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Fabio Nobile

In this paper we propose and analyze a stochastic collocation method for solving the second order wave equation with a random wave speed and subjected to deterministic boundary and initial conditions. The speed is piecewise smooth in the physical space and ...

MATHICSE2011

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

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

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

The radial wave operator in similarity coordinates

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Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

A stochastic collocation method for the second order wave equation with a discontinuous random speed

FE heterogeneous multiscale method for long time wave propagation

Inelastic x-ray study of phonon broadening and charge-density wave formation in ortho-II-ordered YBa_{2}Cu_{3}O_{6.54}

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

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

Asymptotics and analytic modes for the wave equation in similarity coordinates

A stochastic collocation method for the second order wave equation with a discontinuous random speed

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Inelastic x-ray study of phonon broadening and charge-density wave formation in ortho-II-ordered YBa_{2}Cu_{3}O_{6.54}

FE heterogeneous multiscale method for long time wave propagation

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Asymptotics and analytic modes for the wave equation in similarity coordinates

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

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