Publications related to Boussinesq approximation (water waves)

On global regularity for systems of nonlinear wave equations with the null-condition

Joachim Krieger, Aparajita Dasgupta, Can Gao

In this note we combine a recent result by Geba [2] on the local wellposedness theory of systems of nonlinear wave equations with

Q_0

null-form structure with the classical Penrose compactification method to obtain a new small data global existence resul ...

International Press2015

Wave propagation in periodic buckled beams

Florian Paul Robert Maurin

Folding of the earth's crust, wrinkling of the skin, rippling of fruits, vegetables and leaves are all examples of natural structures that can have periodic buckling. Periodic buckling is also present in engineering structures such as compressed lattices, ...

EPFL2015

MATHICSE Technical Report : A priori error analysis of the finite element heterogenenous multiscale method for the wave equation in heterogenenous media over long time

Timothée Noé Pouchon

A fully discrete a priori analysis of the finite element heterogenenous multiscale method (FE-HMM) introduced in [A. Abdulle, M. Grote, C. Stohrer, MultiscaleModel. Simul. 2014] for the wave equation with highly oscillatory coefficients over long time is p ...

MATHICSE2015

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

Hoài-Minh Nguyên

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

A new generation plasma turbulence fluid code for tokamak scrape-off layer dynamics

Minh Quang Tran, Paolo Ricci, Joaquim Loizu Cisquella, Sébastien Jolliet, Federico David Halpern, Fabio Riva, Annamaria Mosetto, Christoph Wersal, Félix Benedito Clément Musil

Understanding the turbulent dynamics of the tokamak scrape-off layer (SOL) is critical for the safe operation of future fusion reactors. In this region of the tokamak device, the plasma exhausts particles and heat onto plasma facing hardware components, wh ...

2015

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Max-Olivier Hongler, Olivier Gallay, Roger Filliger

The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the age ...

Amer Inst Mathematical Sciences2014

Finite element heterogeneous multiscale method for the wave equation: long-time effects

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 new FE-HMM-L method captures not only the short-time behavior of the wave field, well ...

Siam Publications2014

Nondispersive Decay For The Cubic Wave Equation

Roland Donninger

We consider the hyperboloidal initial value problem for the cubic focusing wave equation (-partial derivative(2)(t) + Delta(x))nu(t, x) + nu(t, x)(3) = 0, x is an element of R-3 Without symmetry assumptions, we prove the existence of a codimension-4 Lipsch ...

Mathematical Science Publ2014

Damage pattern and damage progression on breakwater roundheads under multidirectional waves

Francesco Comola, Lorenzo Martinelli

An experimental model test study is carried out to investigate damage pattern and progression on a rock armoured breakwater roundhead subjected to multidirectional waves. Concerning damage pattern, the most critical sector is observed to shift leeward with ...

Elsevier2014

On the stability of travelling waves with vorticity obtained by minimization

Boris Buffoni

We modify the approach of Burton and Toland Comm. Pure Appl. Math. LXIV. 975-1007 (2011) to show the existence of periodic surface water waves with vorticity in order that it becomes suited to a stability analysis. This is achieved by enlarging the functio ...

Springer Basel2013

Boussinesq approximation (water waves)

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On global regularity for systems of nonlinear wave equations with the null-condition

Wave propagation in periodic buckled beams

MATHICSE Technical Report : A priori error analysis of the finite element heterogenenous multiscale method for the wave equation in heterogenenous media over long time

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

A new generation plasma turbulence fluid code for tokamak scrape-off layer dynamics

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Finite element heterogeneous multiscale method for the wave equation: long-time effects

Nondispersive Decay For The Cubic Wave Equation

Damage pattern and damage progression on breakwater roundheads under multidirectional waves

On the stability of travelling waves with vorticity obtained by minimization

MATHICSE Technical Report : A priori error analysis of the finite element heterogenenous multiscale method for the wave equation in heterogenenous media over long time

Finite element heterogeneous multiscale method for the wave equation: long-time effects

On global regularity for systems of nonlinear wave equations with the null-condition

Wave propagation in periodic buckled beams

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

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

A new generation plasma turbulence fluid code for tokamak scrape-off layer dynamics

Nondispersive Decay For The Cubic Wave Equation

Damage pattern and damage progression on breakwater roundheads under multidirectional waves

On the stability of travelling waves with vorticity obtained by minimization