Results 1 to 10 of about 46 (46)

Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions

Advances in Nonlinear Analysis, 2023
In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
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On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

Advances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed, Samet Bessem, Vetro Calogero   +2 more
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Singularity for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals

Advances in Nonlinear Analysis, 2022
This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
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Blowup in L1(Ω)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms

Advances in Nonlinear Analysis, 2023
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity up{u}^{p} in a bounded domain Ω\Omega with the homogeneous Neumann boundary condition and positive initial values.
Floridia Giuseppe, Liu Yikan, Yamamoto Masahiro   +2 more
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Dirichlet problems involving the Hardy-Leray operators with multiple polars

Advances in Nonlinear Analysis, 2023
Our aim of this article is to study qualitative properties of Dirichlet problems involving the Hardy-Leray operator ℒV≔−Δ+V{{\mathcal{ {\mathcal L} }}}_{V}:= -\Delta +V, where V(x)=∑i=1mμi∣x−Ai∣2V\left(x)={\sum }_{i=1}^{m}\frac{{\mu }_{i}}{{| x-{A}_{i}| }
Chen Huyuan, Chen Xiaowei
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Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities

Open Mathematics, 2023
In this article, we investigate the Cauchy problem for Klein-Gordon equations with combined power-type nonlinearities. Coefficients in the nonlinearities depend on the space variable.
Kolkovska Natalia, Dimova Milena, Kutev Nikolai   +2 more
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On a Class of Reaction-Diffusion Equations with Aggregation

Advanced Nonlinear Studies, 2021
In this paper, global-in-time existence and blow-up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis).
Chen Li, Desvillettes Laurent, Latos Evangelos   +2 more
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Lack of smoothing for bounded solutions of a semilinear parabolic equation

Advances in Nonlinear Analysis, 2020
We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0.
Fila Marek, Lankeit Johannes
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On Removable Singularities of Solutions of Higher-Order Differential Inequalities

Advanced Nonlinear Studies, 2020
We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
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Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions

Open Mathematics, 2020
In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
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