Results 1 to 10 of about 317 (178)
Complexity, 2020 The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two ...
Youcef Bouizem +2 more
doaj +3 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation [PDF]
J Math Neurosci, 2014 International audienceMotivated by a model for neural networks with adaptation and fatigue, we study a conservative fragmentation equation that describes the density probability of neurons with an elapsed time s after its last discharge.In the linear ...
Salort, Delphine +5 more
core +2 more sources
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
doaj +1 more source
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
core +1 more source
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
wiley +1 more source
On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
doaj +1 more source
, 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
core +1 more source