3.1k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of OsloNO153 papers
- Centre National de la Recherche ScientifiqueFR139 papers
- KTH Royal Institute of TechnologySE92 papers
- SINTEFNO92 papers
- Johannes Gutenberg University MainzDE57 papers
- Delft University of TechnologyNL56 papers
- University of CopenhagenDK55 papers
- ETH ZurichCH46 papers
- Tomsk State Pedagogical UniversityRU44 papers
- University of CambridgeGB41 papers
- Stockholm UniversitySE40 papers
- Eindhoven University of TechnologyNL38 papers
10 papers · 2 filters
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…