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20022009
most citedTravelling waves for the Gross-Pitaevskii equation II

133 citations

Showing 2009Show all

7 papers · 1 filter

math.DS2009

Analytical Study of a Triple Hopf Bifurcation in a Tritrophic Food Chain Model

J. -P. Francoise, J. Llibre

We provide an analytical proof of the existence of a stable periodic orbit contained in the region of coexistence of the three species of a tritrophic chain. The method used consis…

math.OC20092 cited

Exact boundary observability for nonautonomous quasilinear wave equations

Lina Guo, Zhiqiang Wang

By means of a direct and constructive method based on the theory of semiglobal solution, the local exact boundary observability is shown for nonautonomous 1-D quasilinear wav…

quant-ph2009

Tackling the Gross-Pitaevskii energy functional with the Sobolev gradient - Analytical and numerical results

P. Kazemi, M. Eckart

In the first part of this contribution we prove the global existence and uniqueness of a trajectory that globally converges to the minimizer of the Gross-Pitaevskii energy function…

cs.DS20095 cited

Oscillations and Random Perturbations of a FitzHugh-Nagumo System

Catherine Doss, Michèle Thieullen

We consider a stochastic perturbation of a FitzHugh-Nagumo system. We show that it is possible to generate oscillations for values of parameters which do not allow oscillations for…

math.AP20092 cited

Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations

Claude Bardos, Edriss S. Titi

A basic example of shear flow was introduced by DiPerna and Majda to study the weak limit of oscillatory solutions of the Euler equations of incompressible ideal fluids. In particu…

math.FA2009

Functions with Prescribed Best Linear Approximations

P. L. Combettes, N. N. Reyes

A common problem in applied mathematics is to find a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In the present…