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Displaying 161 – 180 of 441

Integration of the EPDiff equation by particle methods

Alina Chertock, Philip Du Toit, Jerrold Eldon Marsden (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff equation that is well-suited for this class of solutions and...

Integration of the EPDiff equation by particle methods∗∗∗∗∗∗

Alina Chertock, Philip Du Toit, Jerrold Eldon Marsden (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

Integration of the perturbated Jacobi problem.

Dragović, Vladimir (1998)

Publications de l'Institut Mathématique. Nouvelle Série

Intertwining symmetry algebras of quantum superintegrable systems.

Calzada, Juan A., Negro, Javier, del Olmo, Mariano A. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Invariance of the Gibbs measure for the Benjamin–Ono equation

Yu Deng (2015)

Journal of the European Mathematical Society

In this paper we consider the periodic Benjemin-Ono equation.We establish the invariance of the Gibbs measure associated to this equation, thus answering a question raised in Tzvetkov [28]. As an intermediate step, we also obtain a local well-posedness result in Besov-type spaces rougher than $L^{2}$ , extending the $L^{2}$ well-posedness result of Molinet [20].

Invariant differential operators and Frobenius decomposition of a $G$ -variety. (Invariante Differentialoperatoren und die Frobenius-Zerlegung einer $G$ -Varietät.)

Agricola, Ilka (2001)

Journal of Lie Theory

Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation.

Yuan, Xiaoping (2003)

International Journal of Mathematics and Mathematical Sciences

Invariant manifolds for one-dimensional parabolic partial differential equations of second order

Janusz Mierczyński (1998)

Colloquium Mathematicae

Invariant measures for the defocusing Nonlinear Schrödinger equation

Nikolay Tzvetkov (2008)

Annales de l’institut Fourier

We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schrödinger equations on the disc of the plane $ℝ^{2}$ . We also prove an estimate giving some intuition to what may happen in $3$ dimensions.

Isometric immersions and the generalized Laplace and elliptic sinh-Gordon equations.

M. Dajczer, Ruy Tojeiro (1995)

Journal für die reine und angewandte Mathematik

Isometric immersions of domains of Lobachevski space in Euclidean spaces

Zapiski naucnych seminarov POMI

Isometric immersions of space forms and soliton theory.

Dirk Ferus, Franz Pedit (1996)

Mathematische Annalen

Ito equation as a geodesic flow on $\hat{{Diff}^{s} (S^{1}) ⨀ C^{\infty} (S^{1})}$

Partha Guha (2000)

Archivum Mathematicum

The Ito equation is shown to be a geodesic flow of $L^{2}$ metric on the semidirect product space $\hat{{𝐷𝑖𝑓𝑓}^{s} (S^{1}) ⨀ C^{\infty} (S^{1})}$ , where ${𝐷𝑖𝑓𝑓}^{s} (S^{1})$ is the group of orientation preserving Sobolev $H^{s}$ diffeomorphisms of the circle. We also study a geodesic flow of a $H^{1}$ metric.

Kac-Moody groups and integrability of soliton equations.

Boris Feigin, Edward Frenkel (1995)

Inventiones mathematicae

KAM techniques in PDE

Ricardo Pérez-Marco (2001/2002)

Séminaire Bourbaki

KAM theory for the hamiltonian derivative wave equation

Massimiliano Berti, Luca Biasco, Michela Procesi (2013)

Annales scientifiques de l'École Normale Supérieure

We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small-amplitude, reducible, elliptic, analytic, invariant tori of Hamiltonian derivative wave equations.

Kink solutions of the binormal flow

Luis Vega (2003)

Journées équations aux dérivées partielles

I shall present some recent work in collaboration with S. Gutierrez on the characterization of all selfsimilar solutions of the binormal flow : $X_{t} = X_{s} \times X_{s s}$ which preserve the length parametrization. Above $X (s, t)$ is a curve in $ℝ^{3}$ , $s \in ℝ$ the arclength parameter, and $t$ denote the temporal variable. This flow appeared for the first time in the work of Da Rios (1906) as a crude approximation to the evolution of a vortex filament under Euler equation, and it is intimately related to the focusing cubic nonlinear Schrödinger...

KP trigonometric solitons and an adelic flag manifold.

Haine, Luc (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices

Jerzy Nowak (1998)

Fundamenta Mathematicae

We generalize the construction of Maslov-Trofimov characteristic classes to the case of some G-manifolds and use it to study certain hamiltonian systems.

Lagrangian approach to dispersionless KdV hierarchy.

Choudhuri, Amitava, Talukdar, B., Das, U. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Currently displaying 161 – 180 of 441

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