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
7 papers · 2 filters
Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces
Mats Ehrnström, Long Pei
For both localized and periodic initial data, we prove local existence in classical energy space , for a class of dispersive equations $u_{t}+(n(u))_{x}+Lu_{x}=…
Non-Existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier-Stokes Equations
Hailiang Li, Yuexun Wang, Zhouping Xin
In this paper, we investigate the well-posedess of classical solutions to the Cauchy problem of Navier-Stokes equations,and prove that the classical solution with finite energy doe…
Superposition of p-superharmonic functions
Karl K. Brustad
The Dominative -Laplace Operator is introduced. This operator is a relative to the -Laplacian, but with the distinguishing property of being sublinear. It explains the superp…
Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system
Katrin Grunert, Xavier Raynaud
Compared with the two-component Camassa-Holm system, the modified two-component Camassa-Holm system introduces a regularized density which makes possible the existence of solutions…
On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system
Markus Grasmair, Katrin Grunert, Helge Holden
The Camassa-Holm equation and its two-component Camassa-Holm system generalization both experience wave breaking in finite time. To analyze this, and to obtain solutions past wave…
Symmetric solutions of evolutionary partial differential equations
Gabriele Bruell, Mats Ehrnstrom, Anna Geyer +1
We show that for a large class of evolutionary nonlinear and nonlocal partial differential equations, symmetry of solutions implies very restrictive properties of the solutions and…
On the Braess Paradox with Nonlinear Dynamics and Control Theory
Rinaldo M. Colombo, Helge Holden
We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill-Whitham-Richards model for traffic flow. Furthermore, we show h…