Results 11 to 20 of about 1,261 (85)
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
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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
wiley +1 more source
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
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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
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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
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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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Temporal periodic solutions of non-isentropic compressible Euler equations with geometric effects
Advances in Nonlinear AnalysisIn this article, we investigate the general qusi-one-dimensional nozzle flows governed by non-isentropic compressible Euler system. First, the steady states of the subsonic and supersonic flows are analyzed. Then, the existence, stability, and uniqueness
Fang Xixi, Ma Shuyue, Yu Huimin
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On the weakly degenerate Allen-Cahn equation
Advances in Nonlinear Analysis, 2019 In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the ...
Sônego Maicon
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Advanced Nonlinear Studies, 2023 We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin +3 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur +6 more
wiley +1 more source