Results 11 to 20 of about 2,040 (39)

Classical Lie symmetries and reductions of a nonisospectral Lax pair

open access: yes, 2011
The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551).
Ablowitz M. J.   +10 more
core   +1 more source

A new contraction family for porous medium and fast diffusion equation [PDF]

open access: yes, 2014
In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations.
Chmaycem, Ghada   +2 more
core   +3 more sources

Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data

open access: yes, 2015
A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
core   +1 more source

Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain [PDF]

open access: yes, 2014
In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain $\Omega \subset \mathbb{R}^N$ ($N\in\{2,3\}$), not necessarily being convex.
Jiang, Jie, Wu, Hao, Zheng, Songmu
core  

Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces

open access: yes, 2016
The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with nonnegative initial data,
Xiao, Weiliang, Zhou, Xuhuan
core   +1 more source

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

open access: yesCalc Var Partial Differ Equ, 2021
Bögelein V   +3 more
europepmc   +1 more source

Optimal coupling for mean field limits

open access: yes, 2009
We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods.
Bolley, François
core  

Higher integrability for doubly nonlinear parabolic systems. [PDF]

open access: yesSN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

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