Results 21 to 30 of about 92 (86)
Threshold results of blow-up solutions to Kirchhoff equations with variable sources [PDF]
This paper analyzes an initial boundary value problem for variable source Kirchhoff-type parabolic equations. We aim to derive a new sub-critical energy threshold for finite-time blow-up, a new blow-up condition, and estimates for lifespan and upper ...
RAHMOUNE, Abita, TOUIL, Nadji
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Advances in Nonlinear Analysis, 2021 We study the wave inequality with a Hardy ...
Jleli Mohamed +2 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
Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)
Demonstratio MathematicaIn this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
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Nodal Blow-Up Solutions to Slightly Subcritical Elliptic Problems with Hardy-Critical Term
Advanced Nonlinear Studies, 2017 The paper is concerned with the slightly subcritical elliptic problem with Hardy-critical ...
Bartsch Thomas, Guo Qianqiao
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Advances in Nonlinear AnalysisThis article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
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Solitary waves of the degenerate rotation-two-component Camassa–Holm system
Advanced Nonlinear StudiesConsidered herein are the classification of solitary wave solutions of the degenerate rotation-two-component Camassa–Holm system. Depending on the values of the rotating parameter Ω ${\Omega}$ and the balance index σ $\sigma $ , we classify various ...
Moon Byungsoo
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Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay
Open MathematicsWe study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
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Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
Advances in Nonlinear Analysis, 2021 Our purpose of this paper is to study positive solutions of Lane-Emden ...
Ma Yong, Wang Ying, Ledesma César T.
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The initial-value problem for a Gardner-type equation
Advanced Nonlinear StudiesDiscussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry +4 more
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