261 citations
- Institute of MathematicsPL7 papers
- Technische Universität DarmstadtDE5 papers
- Technical University of MunichDE4 papers
- University of Zielona GóraPL4 papers
- GSI Helmholtz Centre for Heavy Ion ResearchDE3 papers
- Polish Academy of SciencesPL3 papers
- Institute of PhysicsPL2 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR2 papers
- National UniversityUS2 papers
- University at Buffalo, State University of New YorkUS2 papers
- University of Cape TownZA2 papers
- University of RostockDE2 papers
Showing math.APShow all
3 papers · 1 filter
math.AP2003★ 2 cited
About the regularized Navier--Stokes equations
Marco Cannone, Grzegorz Karch
The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz spa…
math.AP2002★ 1 cited
Smooth or singular solutions to the Navier--Stokes system ?
Marco Cannone, Grzegorz Karch
The existence of singular solutions of the incompressible Navier-Stokes system with singular external forces, the existence of regular solutions for more regular forces as well as…
math.AP2002
On zero mass solutions of viscous conservation laws
Grzegorz Karch, Maria E. Schonbek
In the paper, we consider the large time behavior of solutions to the convection-diffusion equation u_t - Delta u + nabla cdot f(u) = 0 in R^n times [0,infinity), where f(u) ~ u^q…