Results 21 to 30 of about 1,232 (82)
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
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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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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
, 2017 It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Xiang, Tian
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this work, consideration is given to the initial value problem associated with the periodic fifth‐order KdV–BBM equation. It is shown that the uniform radius of spatial analyticity σ(t) of solution at time t is bounded from below by ct−2/3 (for some c > 0), given initial data η0 that is analytic on the circle and has a uniform radius of spatial ...
Tegegne Getachew, Giovanni P. Galdi
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Absence of global solutions to wave equations with structural damping and nonlinear memory
Demonstratio MathematicaWe prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term utt+(−Δ)α2u+(−Δ)β2ut=∫0t(t−s)δ−1∣u(s)∣pds{u}_{tt}+{\left(-\Delta )}^{\tfrac{\alpha }{2}}u+{\left(-\Delta )}^{\tfrac ...
Kirane Mokhtar +2 more
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Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
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Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains
, 2019 We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mixed boundary conditions.
Jleli, Mohamed, Samet, Bessem, Ye, Dong
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Regularity for Micropolar Fluid Equations Subjected to Hall Current
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we consider the density‐dependent incompressible Hall‐magnetomicropolar fluid equations and establish a regularity condition involving the Lt1Lx∞ norm of the velocity gradient and the microrotational velocity gradient and the Lt2r/r−3Lxr norm of the magnetic field gradient for r > 3.
Mingyu Zhang, Arpan Hazra
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Positive solutions for asymptotically linear Schrödinger equation on hyperbolic space
Advances in Nonlinear AnalysisIn this article, we study the following stationary Schrödinger equation on hyperbolic space: −ΔHNu+λu=f(u),x∈HN,N≥3,-{\Delta }_{{{\mathbb{H}}}^{N}}u+\lambda u=f\left(u),\hspace{1.0em}x\in {{\mathbb{H}}}^{N},\hspace{1em}N\ge 3, where ΔHN{\Delta }_ ...
Gao Dongmei, Wang Jun, Wang Zhengping
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Journal of Mathematics, Volume 2025, Issue 1, 2025.A fourth‐order p(x)‐biharmonic‐type hyperbolic equation with variable‐exponent nonlinearities is considered. The global existence of solutions has been obtained by potential well theory and the continuous principle. Qualitative properties related to the stability of the solution of this equation are obtained using the method of the well‐known Komornik ...
Billel Gheraibia +4 more
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