Results 61 to 70 of about 1,261 (85)

Phase transitions in porous media. [PDF]

open access: yesNonlinear Differ Equ Appl, 2022
Gavioli C, Krejčí P.
europepmc   +1 more source

Suppression of blow-up in Patlak–Keller–Segel–Navier–Stokes system via the Couette flow in whole space

open access: yesAdvances in Nonlinear Analysis
This paper studies the two-dimensional Patlak–Keller–Segel–Navier–Stokes (PKS–NS) system in R2 ${\mathbb{R}}^{2}$ near the Couette flow (Ay, 0). Using the Green’s function method, we first derive enhanced dissipation estimates for the linearized system ...
Wang Gaofeng, Wang Weike, Wu Tianfang
doaj   +1 more source

Effects of anisotropic diffusion in a two-dimensional unstirred chemostat

open access: yesAdvanced Nonlinear Studies
We investigate an unstirred chemostat model in which two species compete in a two-dimensional environment. The populations are assumed to disperse anisotropically, with distinct probabilities assigned to horizontal and vertical movements, which are ...
Yu Hongqiang, Wu Jianhua
doaj   +1 more source

Infinitely many solutions for Hamiltonian system with critical growth

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
doaj   +1 more source

On a generalized Stokes problem

open access: yesOpen Mathematics, 2011
Mácha Václav
doaj   +1 more source

A linear condition determining local or global existence for nonlinear problems

open access: yesOpen Mathematics, 2013
Neuberger John   +2 more
doaj   +1 more source

On semilinear inequalities involving the Dunkl Laplacian and an inverse-square potential outside a ball

open access: yesAdvances in Nonlinear Analysis
Let Δk{\Delta }_{k} be the Dunkl generalized Laplacian operator associated with a root system RR of RN{{\mathbb{R}}}^{N}, N≥2N\ge 2, and a nonnegative multiplicity function kk defined on RR and invariant by the finite reflection group WW.
Jleli Mohamed   +2 more
doaj   +1 more source

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