Results 1 to 10 of about 98 (90)
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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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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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 +2 more
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Bounds for blow-up time in a semilinear parabolic problem with variable exponents
, 2022 This report deals with a blow-up of the solutions to a class of semilinear parabolic equations with variable exponents nonlinearities. Under some appropriate assumptions on the given data, a more general lower bound for a blow-up time is obtained if the ...
ABITA, Rahmoune +1 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 +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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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 +2 more
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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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Finite time blow-up for quasilinear wave equations with nonlinear dissipation
, 2022 In this paper we consider a class of quasilinear wave equations utt − ∆αu − ω1∆ut − ω2∆βut + µ|ut|m−2ut = |u|p−2u, associated with initial and Dirichlet boundary conditions.
KERKER , Mohamed Amine
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, 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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