[HTML][HTML] Finite time blow-up for a thin-film equation with initial data at arbitrary energy level

F Sun, L Liu, Y Wu - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this paper, we consider the initial boundary value problem for a class of thin-film
equations in R n with a p-Laplace term and a nonlocal source term| u| q− 2 u− 1| Ω|∫ Ω| u …

[HTML][HTML] Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay

H Xie, Q Yang - Results in Applied Mathematics, 2022 - Elsevier
We construct a compact difference scheme for two-dimensional time-fractional nonlinear
fourth-order diffusion equation with time delay. By choosing the second-order spatial …

Blow-up of solutions to a fourth-order parabolic equation with/without p-Laplician and general nonlinearity modeling epitaxial growth

J Zhou - Analysis and Mathematical Physics, 2021 - Springer
This paper deals with a fourth-order parabolic equation with/without p-Laplician and general
nonlinearity modeling epitaxial growth. By using the variational structure of the problem and …

Behaviour in time of solutions to fourth-order parabolic systems with time dependent coefficients

M Marras, S Vernier-Piro - arXiv preprint arXiv:2209.13256, 2022 - arxiv.org
This paper deals with a class of initial-boundary value problems for nonlinear fourth order
parabolic systems with time dependent coefficients in a bounded domain $\Omega\subset …

Blow-up phenomena for a class of fourth order parabolic equation

X Shao, G Tang - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
A class of fourth order parabolic equation is studied in this paper. Some related blow-up
results are obtained by applying the potential well theory, the concavity method and a series …

A note on a class of 4th order hyperbolic problems with weak and strong damping and superlinear source term

M Marras, S Vernier-Piro - DISCRETE AND CONTINUOUS …, 2020 - iris.unica.it
In this paper we study a initial-boundary value problem for 4th order hyperbolic equations
with weak and strong damping terms and superlinear source term. For blow-up solutions a …

[PDF][PDF] Blow-up phenomena for a class of metaparabolic equations with time dependent coefficient

H Di, Y Shang - AIMS Mathematics, 2017 - aimspress.com
This paper deals with the initial boundary value problem for a metaparabolic equations with
time dependent coefficient. Under suitable conditions on initial data, a blow-up criterion …

Asymptotic Properties for a Semilinear Edge-Degenerate Parabolic Equation

G Xu - Chinese Annals of Mathematics, Series B, 2020 - Springer
The author deals with a semi-linear edge-degenerate parabolic equation, and proves that
the solution increases exponentially under the initial energy J (u 0)≤ d, where d is the …

Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations

H Di, Z Song - Advances in Mathematical Physics, 2021 - Wiley Online Library
This paper is devoted to the initial and boundary value problems for a class of nonlinear
metaparabolic equations ut− β uxx− kuxxt+ γ uxxxx= fuxx. At low initial energy level (J (u0)< …

Sufficient Conditions and Bounds Estimate of Blow-Up Time for a Fourth Order Parabolic Equation

L Zhao, F Li - Qualitative theory of dynamical systems, 2022 - Springer
In this paper, we consider a fourth order parabolic equation with heat source function and
homogeneous boundary conditions. We establish some sufficient conditions to guarantee …