Results 51 to 60 of about 717 (67)

A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Open Mathematics
We investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj   +1 more source

Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Advanced Nonlinear Studies, 2017
The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
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Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation

Advances in Nonlinear Analysis
This article is devoted to the study of the initial boundary value problem for a mixed pseudo-parabolic r(x)r\left(x)-Laplacian-type equation. First, by employing the imbedding theorems, the theory of potential wells, and the Galerkin method, we ...
Cheng Jiazhuo, Wang Qiru
doaj   +1 more source

Local gradient estimation for nonlinear degenerate parabolic variational inequalities derived from the value analysis of financial derivatives

Open Mathematics
This study examines the spatial gradient estimation of solutions to a particular class of variational inequality problems that arise from the structure of nonlinear degenerate parabolic operators. Specifically, under the assumption that 2≤p≤2(1+2n) $2\le
Wu Tao
doaj   +1 more source

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

European 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

Blowup solutions of Grushin's operator

, 1906
In this note, we consider the blowup phenomenon of Grushin's operator. By using the knowledge of probability, we first get expression of heat kernel of Grushin's operator.
Lv, Guangying, Wei, Jinlong, Xie, Longjie   +2 more
core  

Existence of solutions to a diffusive shallow medium equation. [PDF]

J Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

Centromere inactivation on a neo-Y fusion chromosome in threespine stickleback fish. [PDF]

Chromosome Res, 2016
Cech JN, Peichel CL.
europepmc   +1 more source

Variational approach to coarse-graining of generalized gradient flows. [PDF]

Calc Var Partial Differ Equ, 2017
Duong MH, Lamacz A, Peletier MA, Sharma U.   +3 more
europepmc   +1 more source

Karyotype differentiation between two stickleback species (Gasterosteidae). [PDF]

Cytogenet Genome Res, 2011
Urton JR, McCann SR, Peichel CL.
europepmc   +1 more source