Results 11 to 20 of about 1,232 (82)
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
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
doaj +1 more source
Advanced Nonlinear Studies, 2022 This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations,
Wang Liping, Zhao Chunyi
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Global well-posedness of the full compressible Hall-MHD equations
Advances in Nonlinear Analysis, 2021 This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large ...
Tao Qiang, Zhu Canze
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Metrics with prescribed horizontal bundle on spaces of curve
, 2015 We study metrics on the shape space of curves that induce a prescribed splitting of the tangent bundle. More specifically, we consider reparametrization invariant metrics $G$ on the space $\operatorname{Imm}(S^1,\mathbb R^2)$ of parametrized regular ...
Bauer, Martin, Harms, Philipp
core +1 more source
Global well-posedness on the derivative nonlinear Schr\"odinger equation revisited
, 2014 As a continuation of the previous work \cite{Wu}, we consider the global well-posedness for the derivative nonlinear Schr\"odinger equation. We prove that it is globally well-posed in energy space, provided that the initial data $u_0\in H^1(\mathbb{R ...
Wu, Yifei
core +1 more source
On the weakly competitive case in a two-species chemotaxis model
, 2016 In this article we investigate a parabolic-parabolic-elliptic two-species chemotaxis system with weak competition and show global asymptotic stability of the coexistence steady state under a smallness condition on the chemotactic strengths, which seems ...
Black, Tobias +2 more
core +1 more source
Advances in Nonlinear Analysis, 2021 We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
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Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
, 2017 In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness ...
Li, Jinlu, Tan, Wenke, Yin, Zhaoyang
core +1 more source
Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger
Abstract and Applied AnalysisMSC2020 Classification: 35K05, 35K55, 35A15, 35A01, 35A02, and ...
Kouma Ali Ouattara +3 more
doaj +1 more source