Results 11 to 20 of about 136 (109)
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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Strong solutions for semilinear problems with almost sectorial operators [PDF]
, 2022 In this paper we study a semilinear parabolic problem ut + Au = f(t, u), t > τ ; u(τ ) = u0 ∈ X, in a Banach space X, where A : D(A) ⊂ X → X is an almost sectorial operator. This problem is locally well-posed in the sense of mild solutions.
Boldrin Belluzi, Maykel +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
, 2021 In this paper, we consider a class of quasi-linear parabolic equations with variable exponents, a (x, t) ut − ∆m(.)u = fp(.) (u) in which fp(.) (u) the source term, a(x, t) > 0 is a nonnegative function, and the exponents of nonlinearity m(x), p(x ...
RAHMOUNE, Abita +1 more
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Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model
, 2021 International audienceIn this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology.
Bader, Fakhrielddine +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir +4 more
wiley +1 more source
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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Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED +3 more
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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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