Results 11 to 20 of about 249 (171)
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
Non-autonomous weighted elliptic equations with double exponential growth
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We consider the existence of solutions of the following weighted problem: {L:=-div(ρ(x)|∇u|N-2∇u)+ξ(x)|u|N-2u=f(x,u)inBu>0inBu=0on∂B,\left\{ {\matrix{{L: = - div\left( {\rho \left( x \right){{\left| {\nabla u} \right|}^{N - 2}}\nabla u} \right) + \xi ...
Baraket Sami, Jaidane Rached
doaj +1 more source
The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems
Advanced Nonlinear Studies, 2022 This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
doaj +1 more source
Numerical solution of the conformable fractional diffusion equation [PDF]
, 2022 In this paper, a numerical approach for solving space-time fractional diffusion equation with variable coefficients is proposed. The fractional derivatives are described in the conformable sense.
Yaslan, H. Cerdik
core +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
doaj +1 more source
Front propagation in a double degenerate equation with delay
Advances in Nonlinear Analysis, 2023 The current article is concerned with the traveling fronts for a class of double degenerate equations with delay. We first show that the traveling fronts decay algebraically at one end, while those may decay exponentially or algebraically at the other ...
Bo Wei-Jian, Wu Shi-Liang, Du Li-Jun
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations [PDF]
, 2017 In this paper, the nonlocal boundary value problems for a class of nonlinear functional convection reaction-diffusion equations with the singular reaction function are studied by using the method of upper and lower solutions and monotone iterative ...
Yan, Baoqiang +3 more
core +2 more sources
Sharp profiles for diffusive logistic equation with spatial heterogeneity
Advanced Nonlinear Studies, 2023 In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the ...
Xing Yan-Hua, Sun Jian-Wen
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Advances in Nonlinear Analysis, 2019 This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity.
Wu Shi-Liang, Hsu Cheng-Hsiung
doaj +1 more source