Results 11 to 20 of about 1,254 (112)
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
Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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Global existence for time-dependent damped wave equations with nonlinear memory
Advances in Nonlinear Analysis, 2023 In this article, we consider the Cauchy problem for a semi-linear wave equation with time-dependent damping and memory nonlinearity. Conditions for global existence are presented in the energy space H1(Rn)×L2(Rn){H}^{1}\left({{\mathbb{R}}}^{n})\times {L}^
Kirane Mokhtar +3 more
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Generalized Picone inequalities and their applications to (p,q)-Laplace equations
Open Mathematics, 2020 We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
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Global Sobolev regular solution for Boussinesq system
Advances in Nonlinear Analysis, 2023 This article is concerned with the study of the initial value problem for the three-dimensional viscous Boussinesq system in the thin domain Ω≔R2×(0,R)\Omega := {{\mathbb{R}}}^{2}\times \left(0,R).
Zhao Xiaofeng, Li Weijia, Yan Weiping
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Global Solution and Asymptotic Behaviour for a Wave Equation type p-Laplacian with Memory
Open Journal of Mathematical Analysis, 2018 In this work we study the global solution, uniqueness and asymptotic behaviour of the nonlinear equation utt − ∆pu = ∆u− g ∗ ∆u where ∆pu is the nonlinear p-Laplacian operator, p ≥ 2 and g ∗ ∆u is a memory damping.
C. Raposo, A. Cattai, J. Ribeiro
semanticscholar +1 more source
Advances in Nonlinear Analysis, 2022 Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied.
Fritz Marvin +2 more
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Open Mathematics, 2023 In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces.
Sun Xiaochun, Xu Gaoting, Wu Yulian
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Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group
Journal of Partial Differential Equations, 2019 The aim of the paper is to study properties of solutions to the nonlinear fractional subLaplace equations on the Heisenberg group. Based on the method of moving planes to the Heisenberg group, we prove the Liouville property of solutions on a half space ...
Xin-Guang Yang and Shubin Wang sci
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Dynamic analysis of delayed vaccination process along with impact of retrial queues
Computational and Mathematical Biophysics, 2023 An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa +3 more
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