Results 31 to 40 of about 1,062 (82)

A waiting time phenomenon for thin film equations [PDF]

, 2001
We prove the occurrence of a waiting time phenomenon for solutions to fourth order degenerate parabolic differential equations which model the evolution of thin films of viscous fluids.
G. GRUEN, GIACOMELLI, Lorenzo, R. DAL PASSO   +2 more
core  

Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays

, 2015
In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porous medium equations, that are also known as Barenblatt solutions.
Dolbeault, Jean, Toscani, Giuseppe
core   +2 more sources

Optimal global second-order regularity and improved integrability for parabolic equations with variable growth

Advances in Nonlinear Analysis
We consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
doaj   +1 more source

A Liouville comparison principle for solutions of semilinear parabolic inequalities in the whole space

Advances in Nonlinear Analysis, 2014
We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
doaj   +1 more source

A new contraction family for porous medium and fast diffusion equation [PDF]

, 2014
In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations.
Chmaycem, Ghada, Jazar, Mustapha, Monneau, Régis   +2 more
core   +3 more sources

Vanishing viscosity limit for a one-dimensional viscous conservation law in the presence of two noninteracting shocks

Demonstratio Mathematica
In this article, we study the inviscid limit of the solution to the Cauchy problem of a one-dimensional viscous conservation law, where the second-order term is nonlinear. Under the assumption that the inviscid equation admits a piecewise smooth solution
Feng Li, Wang Jing
doaj   +1 more source

On a fractional thin film equation

Advances in Nonlinear Analysis, 2020
This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
doaj   +1 more source

Non-Newtonian polytropic filtration systems with nonlinear boundary conditions

Boundary Value Problems, 2011
This article deals with the global existence and the blow-up of non-Newtonian polytropic filtration systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained by ...
Du Wanjuan, Li Zhongping
doaj  

Boundary conditions for the single-factor term structure equation

, 2011
We study the term structure equation for single-factor models that predict nonnegative short rates. In particular, we show that the price of a bond or a bond option is the unique classical solution to a parabolic differential equation with a certain ...
Ekström, Erik, Tysk, Johan
core   +1 more source

Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces

, 2016
The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with nonnegative initial data,
Xiao, Weiliang, Zhou, Xuhuan
core   +3 more sources