Properties of solutions to porous medium problems with different sources and boundary conditions
T Li, N Pintus, G Viglialoro - Zeitschrift für angewandte Mathematik und …, 2019 - Springer
In this paper, we study nonnegative and classical solutions u= u (x, t) u= u (x, t) to porous
medium problems of the type where Ω Ω is a bounded and smooth domain of R^ N RN, with …
medium problems of the type where Ω Ω is a bounded and smooth domain of R^ N RN, with …
A new structure of stochastic solutions to the NLSE in unstable dispersive environments via Rayleigh distribution
MAE Abdelrahman, MA Sohaly, YF Alharbi - Pramana, 2023 - Springer
The unstable nonlinear Schrödinger equation (UNLSE) characterises the time evolution of
disturbances through unstable or marginally stable media. We study the stochastic UNLSE …
disturbances through unstable or marginally stable media. We study the stochastic UNLSE …
[HTML][HTML] Blow-up analysis in quasilinear reaction–diffusion problems with weighted nonlocal source
J Ding, X Shen - Computers & Mathematics with Applications, 2018 - Elsevier
In this paper, we consider the blow-up of solutions to a class of quasilinear reaction–
diffusion problems g (u) t=∇⋅ ρ|∇ u| 2∇ u+ a (x) f (u) in Ω×(0, t∗),∂ u∂ ν+ γ u= 0 on∂ …
diffusion problems g (u) t=∇⋅ ρ|∇ u| 2∇ u+ a (x) f (u) in Ω×(0, t∗),∂ u∂ ν+ γ u= 0 on∂ …
Blow-up time of a Keller-Segel-type system with Neumann and Robin boundary conditions
G Viglialoro - 2016 - projecteuclid.org
This paper is concerned with a parabolic-parabolic Keller-Segel-type system in a bounded
domain Ω⊂R^N (with N=2 or N=3) presenting source and damping terms. We impose …
domain Ω⊂R^N (with N=2 or N=3) presenting source and damping terms. We impose …
[PDF][PDF] Estimates from below of blow-up time in a parabolic system with gradient term
This paper deals with a nonlinear and weakly coupled parabolic system, containing gradient
terms, under Dirichlet boundary conditions. The blow-up phenomena of its positive solutions …
terms, under Dirichlet boundary conditions. The blow-up phenomena of its positive solutions …
具有梯度源和非局部源的反应扩散方程解的爆破时刻下界.
沈旭辉 - Applied Mathematics & Mechanics (1000-0887), 2022 - search.ebscohost.com
Copyright of Applied Mathematics & Mechanics (1000-0887) is the property of Applied
Mathematics & Mechanics and its content may not be copied or emailed to multiple sites or …
Mathematics & Mechanics and its content may not be copied or emailed to multiple sites or …
[PDF][PDF] Blow-up time of a general Keller-Segel system with source and damping terms
M Marras, G Viglialoro - … rendus de l'Academie bulgare des …, 2016 - proceedings.bas.bg
This paper deals with a parabolic-parabolic Keller–Segel type system in a three dimensional
spatial domain. The problem is characterized by time dependent coefficients and source and …
spatial domain. The problem is characterized by time dependent coefficients and source and …
Blow-up time estimates in porous medium equations with nonlinear boundary conditions
J Ding, X Shen - 2018 - dl.acm.org
In this paper, we consider the blow-up problem of the following porous medium equations
with nonlinear boundary conditions {u_ t= Δ u^ m+ k (t) f (u) & in Ω * (0, t^*),\\displaystyle ∂ u …
with nonlinear boundary conditions {u_ t= Δ u^ m+ k (t) f (u) & in Ω * (0, t^*),\\displaystyle ∂ u …
[PDF][PDF] Blow-up phenomena for nonlinear pseudo-parabolic equations with gradient term
M Marras, S Vernier-Piro… - Discrete Contin. Dyn. Syst …, 2017 - researchgate.net
ut− λ△ ut= k (t) div (g (|∇ u| 2)∇ u)+ f (t, u,|∇ u|) in Ω×(0, t*), u= 0 on∂ Ω×(0, t*), u (x, 0)= u0
(x) in Ω, where Ω is a bounded domain in Rn, n≥ 2, with smooth boundary∂ Ω, k is a …
(x) in Ω, where Ω is a bounded domain in Rn, n≥ 2, with smooth boundary∂ Ω, k is a …