Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems, 2011 This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder.
Tahamtani Faramarz, Peyravi Amir
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Existence of global solutions to a quasilinear wave equation with general nonlinear damping
Electronic Journal of Differential Equations, 2002 In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
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Global attractor of the extended Fisher-Kolmogorov equation in
Boundary Value Problems, 2011 The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the
Luo Hong
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Constructing universal pattern formation processes governed by reaction-diffusion systems
Electronic Journal of Differential Equations, 2002 For a given connected compact subset $K$ in $mathbb{R}^n$ we construct a smooth map $F$ on $mathbb{R}^{1+n}$ in such a way that the corresponding reaction-diffusion system $u_t=DDelta u+F(u)$ of $n+1$ components $u=(u_0,u_1,dots ,u_n)$, accompanying with
Sen-Zhong Huang
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Global nonexistence of solutions to system of Klein-Gordon equations with degenerate damping and strong source terms in viscoelasticity [PDF]
, 2022 In this paper, we consider a system of nonlinear viscoelastic wave equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solution by concavity method.
OUCHENANE, Djamel +2 more
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Global existence and exponential decay of solutions for higher-order parabolic equation with logarithmic nonlinearity [PDF]
, 2022 This paper deals with the initial boundary value problem for a higher-order parabolic equation with logarithmic source term ut + (- increment )mu = ur-2uln |u| . By employing the potential wells technique we show the global existence of the weak solution.
Piskin, Erhan, Cömert, Tugrul
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Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
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Decay rate of solutions to the Cauchy problem for a coupled system of a viscoelastic wave equations with a strong delay in Rⁿ [PDF]
, 2023 Using weighted spaces, we establish a general decay rate properties of solutions as T→∞ for a coupled system of a viscoelastic wave equations in Rn under some conditions on g1, g2, ϕ.
BELHADJI, Bochra +2 more
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Global existence and stability of solution for a p−Kirchhoff type hyperbolic equation with damping and source terms [PDF]
, 2022 In this paper, we consider a nonlinear p−Kirchhoff type hyperbolic equation with damping and source terms f utt − M Ω |∇u|p dx ∆pu + |ut| m−2 ut = |u| r−2 u.
MAOUNI, Messaoud +2 more
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Global nonexistence of solution for coupled nonlinear Klein-Gordon with degenerate damping and source terms [PDF]
, 2022 In this article we consider a coupled system of nonlinear Klein-Gordon equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solutions by concavity method.
KHALILI, Zineb +2 more
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