Incompressible Viscous Flows in Borderline Besov Spaces

59 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On a maximum principle and its application to logarithmically critical Boussinesq system (2009, methodology): “In [Hmidi and Keraani 2008] we generalized Vishik’s result for a transport-diffusion equation where the dissipation term has the form −κ1θ .”
The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces (2011, background): “Keraani in [12]), we show that the lifespan of the solution tends to infinity if ρ0 − 1 goes to 0.”
Global Regularity for Some Oldroyd‐B Type Models (2013, background): “By using the arguments of [23], [11] in the end of the proof, it should be possible to handle a critical regularity for the Euler equation, for example u ∈ B1 ∞,1 ∩H1, where Bs p,q are the standard Besov spaces (see [1] for example).”