output
19922026
most citedSpecificity and stability in topology of protein networks

3.1k citations

Showing 2013 · math.APShow all

10 papers · 2 filters

math.AP2013

On the analysis of a coupled kinetic-fluid model with local alignment forces

J. A. Carrillo, Y. -P. Choi, T. K. Karper

This paper studies global existence, hydrodynamic limit, and large-time behavior of weak solutions to a kinetic flocking model coupled to the incompressible Navier-Stokes equations…

math.AP2013★ 22 cited

Trimodal steady water waves

Mats Ehrnström, Erik Wahlén

We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests…

math.AP2013

Finite energy local well-posedness for the Yang-Mills-Higgs equations in Lorenz gauge

Achenef Tesfahun

The Yang-Mills-Higgs equations (Y-M-H), when written relative to Lorenz gauge, become a system of nonlinear wave equations. The key bilinear terms in the resulting system turn out…

math.AP2013★ 4 cited

Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz gauge

Sigmund Selberg, Achenef Tesfahun

We demonstrate null structure in the Yang-Mills equations in Lorenz gauge. Such structure was found in Coulomb gauge by Klainerman and Machedon, who used it to prove global well-po…

math.AP2013★ 17 cited

On an inverse problem for scalar conservation laws

Helge Holden, Fabio Simone Priuli, Nils Henrik Risebro

We study in what sense one can determine the function in the scalar hyperbolic conservation law by observing the solution $u(t,\dott)$ of the Cauchy p…

math.AP2013

Almost critical local well-posedness for the space-time Monopole equation in Lorenz gauge

Achenef Tesfahun

Recently, Candy and Bournaveas proved local well-posedness of the space-time monopole equation in Lorenz gauge for initial data in with . The equation is -cr…

math.AP2013★ 17 cited

Optimal continuous dependence estimates for fractional degenerate parabolic equations

Nathael Alibaud, Simone Cifani, Espen Jakobsen

We derive continuous dependence estimates for weak entropy solutions of degenerate parabolic equations with nonlinear fractional diffusion. The diffusion term involves the fraction…

math.AP2013★ 10 cited

A note on unique continuation for discrete harmonic functions

Maru Guadie, Eugenia Malinnikova

In this note we give a quantitative version of the following simple observation: a discrete harmonic function on the lattice may vanish at each point of a large cube without being…

math.AP2013

Global bifurcation for the Whitham equation

Mats Ehrnstrom, Henrik Kalisch

We prove the existence of a global bifurcation branch of -periodic, smooth, traveling-wave solutions of the Whitham equation. It is shown that any subset of solutions in the gl…

math.AP2013★ 26 cited

Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics

Katrin Grunert, Helge Holden, Xavier Raynaud

We show existence of a global weak dissipative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line with nonvanishing and distinct spatial asy…