Results 61 to 70 of about 1,169 (79)

On a generalized Stokes problem

open access: yesOpen Mathematics, 2011
Mácha Václav
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

The fully parabolic multi-species chemotaxis system in $\mathbb{R}^{2}$

open access: yesEuropean Journal of Applied Mathematics
This article is devoted to the analysis of the parabolic–parabolic chemotaxis system with multi-components over $\mathbb{R}^2$ . The optimal small initial condition on the global existence of solutions for multi-species chemotaxis model in the ...
Ke Lin
doaj   +1 more source

Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator

open access: yesOpen Mathematics
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator.
Dukenbayeva Aishabibi
doaj   +1 more source

Global well-posedness and uniform boundedness of 2D urban crime models with nonlinear advection enhancement

open access: yesEuropean Journal of Applied Mathematics
We study the global well-posedness and uniform boundedness of a two-dimensional reaction–advection–diffusion system with nonlinear advection. This strongly coupled system of nonlinear partial differential equations represents the continuum of a 2D ...
Wenjing Jiang, Qi Wang
doaj   +1 more source

Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation

open access: yesEuropean Journal of Applied Mathematics
This paper is concerned with a predator–prey system with hunting cooperation and prey-taxis under homogeneous Neumann boundary conditions. We establish the existence of globally bounded solutions in two dimensions.
Weirun Tao, Zhi-An Wang
doaj   +1 more source

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