Results 41 to 50 of about 151 (108)
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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Front instability in a condensed phase combustion model
Advances in Nonlinear Analysis, 2015 We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis +2 more
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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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Advances in Nonlinear AnalysisThis article deals with a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics ut=Δu−χ∇⋅(u∇w)+uλ1−μ1ur1−1+av+a1∫Ωudx+a2∫Ωvdx,x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+vλ2−μ2vr2−1−bu+b1∫Ωudx+b2∫Ωvdx,x∈Ω,t>0,τwt=Δw−w+v,x∈Ω,t>0,τzt ...
Jiao Zhan, Jadlovská Irena, Li Tongxing
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Advances in Nonlinear AnalysisIn this article, we extend the asymptotic method of moving planes to the following logarithmic Laplacian parabolic system: ∂z∂t(η,t)+(−△)ℒz(η,t)=f(t,v(η,t)),(η,t)∈B1(0)×[0,∞),∂v∂t(η,t)+(−△)ℒv(η,t)=g(t,z(η,t)),(η,t)∈B1(0)×[0,∞),z(η,t)=0,v(η,t)=0,(η,t)∈B1c(
Wang Guotao, Wang Jing
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Demonstratio MathematicaThe purpose of this work is to study the existence and asymptotic stability of ω-periodic mild solutions to a class of neutral delayed evolution equation in Banach space X ddt(z(t)−cz(t−δ))+A(z(t)−cz(t−δ))=f(t,z(t),z(t−τ)),t∈R, $$\frac{\text{d}}{\mathrm ...
Yang Shengbin, Li Yongxiang, Wang Dan
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A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions
Advances in Nonlinear Analysis, 2015 A boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved.
Colli Pierluigi +2 more
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Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion
Open Mathematics, 2021 This paper is concerned with a chemotaxis system ut=Δum−∇⋅(χ1(w)u∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=Δvn−∇⋅(χ2(w)v∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=Δw−(αu+βv)w,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta {u}^{m}-\nabla \cdot \left({\chi }_{1}\left(w)u\nabla w)+{\mu
Huang Ting, Hou Zhibo, Han Yongjie
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Blow-up analysis for parabolic equations and systems via an auxiliary functional approach
Advances in Nonlinear AnalysisThis paper considers the finite-time blow-up of solutions to semilinear parabolic equations and systems. Using a direct functional method, we first study single equations with source terms f(u) = u p and f(u) = u p + u q.
Chen Shaohua, Lawless Marcus, Lian Wei
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Parabolic inequalities in Orlicz spaces with data in L1
Open Mathematics, 2021 In this paper, we provide existence and uniqueness of entropy solutions to a general nonlinear parabolic problem on a general convex set with merely integrable data and in the setting of Orlicz spaces.
Alaoui Mohammed Kbiri
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