J. Burczak

activity

20122026

most citedAnomalous dissipation and Euler flows

2 citations · 4 across the 9 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017

Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations

Jan Burczak, Rafael Granero-Belinchón

In this paper we consider a $d$ -dimensional ( $d = 1, 2$ ) parabolic-elliptic Keller-Segel equation with a logistic forcing and a fractional diffusion of order $α \in (0, 2)$ . We prove un…

math.AP2017

$L l o g L$ -integrability of the velocity gradient for Stokes system with drifts in $L_{\infty} (B M O^{- 1})$

Jan Burczak, Gregory Seregin

For any weak solution of the Stokes system with drifts in $L_{\infty} (B M O^{- 1})$ , we prove a reverse Hölder inequality and $L l o g L$ -higher integrability of the velocity gradients.

math.AP2017

Stress-diffusive regularizations of non-dissipative rate-type materials

Jan Burczak, Josef Málek, Piotr Minakowski

We consider non-dissipative (elastic) rate-type material models that are derived within the Gibbs-potential-based thermodynamic framework. Since the absence of any dissipative mech…

Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations

LlogL-integrability of the velocity gradient for Stokes system with drifts in L∞​(BMO−1)

Stress-diffusive regularizations of non-dissipative rate-type materials

$L l o g L$ -integrability of the velocity gradient for Stokes system with drifts in $L_{\infty} (B M O^{- 1})$