output
20022009
most citedTravelling waves for the Gross-Pitaevskii equation II

133 citations

Showing 2008Show all

10 papers · 1 filter

math.AP2008

Dynamics of vortices for the Complex Ginzburg-Landau equation

Evelyne Miot

We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to wel…

math.AP2008

Large-Time Behavior of Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations

Gui-Qiang Chen, Benoit Perthame

We are interested in the large-time behavior of periodic entropy solutions in to anisotropic degenerate parabolic-hyperbolic equations of second-order. Unlike the pure h…

math.AP200897 cited

The Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

François Golse, Laure Saint-Raymond

The present paper proves that all limit points of sequences of renormalized solutions of the Boltzmann equation in the limit of small, asymptotically equivalent Mach and Knudsen nu…

q-bio.TO200813 cited

SAPHIR - a multi-scale, multi-resolution modeling environment targeting blood pressure regulation and fluid homeostasis

S. Randall Thomas, Enas Abdulhay, Pierre Baconnier +9

We present progress on a comprehensive, modular, interactive modeling environment centered on overall regulation of blood pressure and body fluid homeostasis. We call the project S…

math.AP20082 cited

On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves

Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut

We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of the minimizing travelling waves for the two-dimensional Gross-Pitaevskii equati…

gr-qc200816 cited

A spectral solver for evolution problems with spatial S3-topology

Florian Beyer

We introduce a single patch collocation method in order to compute solutions of initial value problems of partial differential equations whose spatial domains are 3-spheres. Beside…