Results 51 to 60 of about 357 (100)
Advances in Nonlinear Analysis, 2022 In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δnm\Delta {n}^{m} for m≥6563m ...
Tian Yu, Xiang Zhaoyin
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Nonconvex evolution inclusions generated by time‐dependent subdifferential operators
International Journal of Stochastic Analysis, Volume 12, Issue 3, Page 233-252, 1999., 1998 We consider nonlinear nonconvex evolution inclusions driven by time‐varying subdifferentials ∂ϕ(t, x) without assuming that ϕ(t.) is of compact type. We show the existence of extremal solutions and then we prove a strong relaxation theorem. Moreover, we show that under a Lipschitz condition on the orientor field, the solution set of the nonconvex ...
Kate Arseni-Benou +2 more
wiley +1 more source
Non-Newtonian polytropic filtration systems with nonlinear boundary conditions
Boundary Value Problems, 2011 This article deals with the global existence and the blow-up of non-Newtonian polytropic filtration systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained by ...
Du Wanjuan, Li Zhongping
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Demonstratio MathematicaThe aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
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Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
Boundary Value Problems, 2011 This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
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Open MathematicsWe 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
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Drift perturbation’s influence on traveling wave speed in KPP-Fisher system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed.
Dkhil Fathi, Mannoubi Bechir
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Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)
, 2014 This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in RN for N≥3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the ...
G. Tang, Yuanfei Li, Xitao Yang
semanticscholar +1 more source
The quasilinear parabolic kirchhoff equation
Open Mathematics, 2017 In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
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A FINITE ELEMENT SCHEME FOR THE EVOLUTION OF ORIENTATIONAL ORDER IN FLUID MEMBRANES
, 2010 We investigate the evolution of an almost flat membrane driven by competition of the homogeneous, Frank, and bending energies as well as the coupling of the local order of the constituent molecules of the membrane to its curvature.
S. Bartels, G. Dolzmann, R. Nochetto
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