Ondelettes, paraproduits et Navier-Stokes
M Cannone - 1994 - theses.fr
Dans cette thèse nous donnons quelques théorèmes d'existence et unicité de solutions mild
du problème de Cauchy associe aux équations de Navier-Stokes. Dans la première partie …
du problème de Cauchy associe aux équations de Navier-Stokes. Dans la première partie …
[PDF][PDF] Local and global solvability of some parabolic systems modelling chemotaxis
P Biler - Advances in Mathematical Sciences and Applications, 1998 - researchgate.net
Existence of local and global in time solutions for parabolic-elliptic and parabolic systems
describing the aggregation of the cellular slime mould by the chemical attraction is studied …
describing the aggregation of the cellular slime mould by the chemical attraction is studied …
Harmonic analysis tools for solving the incompressible Navier–Stokes equations
M Cannone - Handbook of mathematical fluid dynamics, 2005 - Elsevier
Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …
partial differential equations of mathematical physics represent the foundation of our …
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
G Li, M Winkler - arXiv preprint arXiv:2206.13292, 2022 - arxiv.org
Two relaxation features of the migration-consumption chemotaxis system involving signal-
dependent motilities, $$\left\{\begin {array}{l} u_t=\Delta\big (u\phi (v)\big),\\[1mm] v_t=\Delta …
dependent motilities, $$\left\{\begin {array}{l} u_t=\Delta\big (u\phi (v)\big),\\[1mm] v_t=\Delta …
Fractal burgers equations
P Biler, T Funaki, WA Woyczynski - Journal of differential equations, 1998 - Elsevier
The paper studies local and global in time solutions to a class of multidimensional
generalized Burgers-type equations with a fractional power of the Laplacian in the principal …
generalized Burgers-type equations with a fractional power of the Laplacian in the principal …
Diffusion, attraction and collapse
MP Brenner, P Constantin, LP Kadanoff… - …, 1999 - iopscience.iop.org
We study a parabolic-elliptic system of partial differential equations that arises in modelling
the overdamped gravitational interaction of a cloud of particles or chemotaxis in bacteria …
the overdamped gravitational interaction of a cloud of particles or chemotaxis in bacteria …
Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems
P Biler, J Dolbeault - Annales Henri Poincaré, 2000 - Springer
Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems Page
1 Ann. Henri Poincaré 1 (2000) 461 – 472 c© Birkhäuser Verlag, Basel, 2000 …
1 Ann. Henri Poincaré 1 (2000) 461 – 472 c© Birkhäuser Verlag, Basel, 2000 …
The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
The 8-problem for radially symmetric solutions of a chemotaxis model in the plane Page 1
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Math. Meth. Appl. Sci. 2006; 29:1563–1583 …
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Math. Meth. Appl. Sci. 2006; 29:1563–1583 …
[PDF][PDF] Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
P Biler - Colloquium mathematicae, 1995 - eudml.org
PIOTR BILER(WROC LAW) This is the third part of the study [7, 9]. We consider here local-in-
t ime solutions of the parabolic-elliptic system from [9,(1)–(5)], which cannot be extended for …
t ime solutions of the parabolic-elliptic system from [9,(1)–(5)], which cannot be extended for …
Suppression of blow-up in Patlak--Keller--Segel via shear flows
J Bedrossian, S He - SIAM Journal on Mathematical Analysis, 2017 - SIAM
In this paper we consider the parabolic-elliptic Patlak--Keller--Segel models in \mathbbT^d
with d= 2, 3 with the additional effect of advection by a large shear flow. Without the shear …
with d= 2, 3 with the additional effect of advection by a large shear flow. Without the shear …