Add to ORKGAbstract. We extend the least action principle to continuum systems. The data for the new principle consists of the intensity of the wave (or rather the wave action) at two instances of time. We define an appropriate Lagrangian, and formulate a variational problem in terms of it. The critical points of the functional are used to determine the wave’s phase. The theory is applicable to the semiclassical limit of a large class of dispersive wave equations. Associating the wave equation with a Liouville equation for the Wigner distribution function, we are able to extend the theory to include singular solutions such as caustics.
Abstract We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wa...
One of the major success stories in analysis over the past couple of decades is the deep and detaile...
A statistical relaxation phenomenon is studied for a general class of dispersive wave equations of n...
In this paper we will give a variational principle with a vanishing parameter which provides a satis...
The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of...
ABSTRACT. The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series s...
In this paper we will give a variational principle with a vanishing parameter which provides a satis...
A study is made of the way that the spectrum function of random, spatially homogeneous, dispersive w...
The paper describes some special solutions of the long water waves theory proposed by Wilde. The wav...
We investigate the long time behavior of waves in crystals. Starting from a linear wave equation on ...
A variational principle for electromagnetic waves allowing for non-linear and dispersive effects, is...
We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wave equati...
This paper is concerned with the evolution of non-linear surface waves in a dissipative fluid. A pse...
. It is proved herein that certain smooth, global solutions of a class of quasi-linear, dissipative,...
Abstract. We obtain a multiscale wave packet representation for the fundamental solution of the wave...
Abstract We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wa...
One of the major success stories in analysis over the past couple of decades is the deep and detaile...
A statistical relaxation phenomenon is studied for a general class of dispersive wave equations of n...
In this paper we will give a variational principle with a vanishing parameter which provides a satis...
The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of...
ABSTRACT. The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series s...
In this paper we will give a variational principle with a vanishing parameter which provides a satis...
A study is made of the way that the spectrum function of random, spatially homogeneous, dispersive w...
The paper describes some special solutions of the long water waves theory proposed by Wilde. The wav...
We investigate the long time behavior of waves in crystals. Starting from a linear wave equation on ...
A variational principle for electromagnetic waves allowing for non-linear and dispersive effects, is...
We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wave equati...
This paper is concerned with the evolution of non-linear surface waves in a dissipative fluid. A pse...
. It is proved herein that certain smooth, global solutions of a class of quasi-linear, dissipative,...
Abstract. We obtain a multiscale wave packet representation for the fundamental solution of the wave...
Abstract We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wa...
One of the major success stories in analysis over the past couple of decades is the deep and detaile...
A statistical relaxation phenomenon is studied for a general class of dispersive wave equations of n...