Results 41 to 50 of about 1,990 (139)
Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions [PDF]
, 2010 The nonnegative viscosity solutions to the infinite heat equation with homogeneous Dirichlet boundary conditions are shown to converge as time increases to infinity to a uniquely determined limit after a suitable time rescaling.
Barles G. +9 more
core +3 more sources
New non-equilibrium matrix imbibition equation for Kondaurov's double porosity model [PDF]
, 2015 The paper deals with the global Kondaurov double porosity model describing a non-equilibrium two-phase immiscible flow in fractured-porous reservoirs when non-equilibrium phenomena occur in the matrix blocks, only.
Konyukhov, Andrey, Pankratov, Leonid
core +2 more sources
A nonlinear parabolic problem with singular terms and nonregular data [PDF]
, 2019 We study existence of nonnegative solutions to a nonlinear parabolic boundary value problem with a general singular lower order term and a nonnegative measure as nonhomogeneous datum, of the form $$ \begin{cases} \dys u_t - \Delta_p u = h(u)f ...
Oliva, Francescantonio +1 more
core +1 more source
On the viscosity solutions to a degenerate parabolic differential equation [PDF]
Ann. Mat. Pura Appl., Vol 194, Issue 5 (2015), 1423--1454, 2013 In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation involving the non-homogeneous infinity-Laplacian.
arxiv +1 more source
THE EVOLUTION OF AN ANISOTROPIC HYPERBOLIC SCHRODINGER MAP HEAT FLOW
, 2015 Solution of Schrödinger map heat flow equation with applied field in 2-dimensional H2 space is obtained. Two different methods are used to construct the norm −1 exact solution. The solution admit a finite time singularity or a global smooth property. AMS
P. Zhong
semanticscholar +1 more source
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 +2 more
core
On the time continuity of entropy solutions
, 2010 We show that any entropy solution $u$ of a convection diffusion equation $\partial_t u + \div F(u)-\Delta\phi(u) =b$ in $\OT$ belongs to $C([0,T),L^1_{Loc}(\o\O))$.
Cancès, Clément, Gallouet, Thierry
core +5 more sources
An anisotropic quasilinear problem with perturbations
Boundary Value Problems, 2013 This work focuses on proving the existence and uniqueness of strong solutions of perturbed anisotropic total variation flow with the Neumann boundary condition when the initial data is an L2(Ω) function. MSC:35K65, 35K55.
J. Rui, Jianguo Si
semanticscholar +2 more sources
Generation of interface for an Allen-Cahn equation with nonlinear diffusion
, 2009 In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we ...
Alfaro +12 more
core +3 more sources
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