A Unified Theory for Some Non-Newtonian Fluids Under Singular Forcing

M. BulÍček , J. Burczak , S. Schwarzacher
Siam Journal on Mathematical Analysis 48 ( 6) 4241 -4267

13
2016
LlogL -Integrability of the Velocity Gradient for Stokes System with Drifts in L ∞ ( BMO −1 )

J. Burczak , G. Seregin
Journal of Mathematical Sciences 236 ( 4) 399 -412

2019
On a generalized, doubly parabolic Keller-Segel system in one spatial dimension

Rafael Granero-Belinchón , Jan Burczak
arXiv: Analysis of PDEs

34
2014
On the generalized Buckley-Leverett equation

Rafael Granero-Belinchón , Garving K. Luli , Jan Burczak
arXiv: Analysis of PDEs

5
2015
Well posedness of nonlinear parabolic systems beyond duality

Miroslav Bulíček , Sebastian Schwarzacher , Jan Burczak , Jan Burczak
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 ( 5) 1467 -1500

3
2019
On a generalized Keller-Segel system in one spatial dimension

Rafael Granero-Belinchón , Jan Burczak

2014
Critical Keller–Segel meets Burgers on : large-time smooth solutions

Rafael Granero-Belinchón , Jan Burczak , Jan Burczak
Nonlinearity 29 ( 12) 3810 -3836

12
2016
On regularity properties of a surface growth model

Wojciech S. Ożański , Jan Burczak , Gregory Seregin
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 1 -24

2021
Global existence vs. blowup in a fully parabolic quasilinear 1D Keller–Segel system

Jan Burczak , Tomasz Cieślak , Cristian Morales-Rodrigo
Nonlinear Analysis: Theory, Methods & Applications 75 ( 13) 5215 -5228

30
2012
Global solutions for a supercritical drift-diffusion equation

Jan Burczak , Rafael Granero-Belinchón
Advances in Mathematics 295 334 -367

22
2016
L∞ a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems

Jan Burczak
Journal of Mathematical Analysis and Applications 393 ( 1) 222 -230

4
2012
Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux

Jan Burczak , Rafael Granero-Belinchon
Topological Methods in Nonlinear Analysis 47 ( 1) 369 -387

19
2016
Quantitative robustness of regularity for 3D Navier–Stokes system in Ḣα-spaces

Jan Burczak , Wojciech M. Zaja̧czkowski
Nonlinear Analysis-real World Applications 31 513 -532

2
2016
Local and global solutions for the compressible navier-stokes equations near equilibria via the energy method

Jan Burczak , Yoshihiro Shibata , Wojciech M. Zaja̧czkowski
Springer International Publishing 1751 -1841

2018
Existence and smoothness for a class of d -dimensional models in elasticity theory of small deformations

Miroslav Bulíček , Jan Burczak
Zeitschrift für Angewandte Mathematik und Physik 69 ( 1) 20

2018
Suppression of blow up by a logistic source in $2 $ D Keller-Segel system with fractional dissipation

Jan Burczak , Rafael Granero-Belinchón
Journal of Differential Equations 263 ( 9) 6115 -6142

37
2016
Critical Keller-Segel meets Burgers on ${\mathbb S}^ 1$: large-time smooth solutions

Jan Burczak , Rafael Granero-Belinchón
arXiv preprint arXiv:1504.00955

2015
Existence and smoothness for a class of $ n $ D models in elasticity theory of small deformations

Miroslav Bulíček , Jan Burczak
arXiv preprint arXiv:1612.00803

2016
Non uniqueness of power-law flows

Jan Burczak , Stefano Modena , László Székelyhidi
Communications in Mathematical Physics 388 199 -243

40
2021