Results 41 to 50 of about 111 (109)

On the Two-phase Fractional Stefan Problem

Advanced Nonlinear Studies, 2020
The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix, Endal Jørgen, Vázquez Juan Luis   +2 more
doaj   +1 more source

An introduction to “Second Order Subelliptic PDEs”: the scientific work of Ermanno Lanconelli

Analysis and Geometry in Metric Spaces
We present an overview of the scientific activity of Ermanno Lanconelli, to whom this volume is dedicated on the occasion of his birthday.
Bonfiglioli Andrea, Citti Giovanna, Cupini Giovanni, Kogoj Alessia E., Manfredini Maria, Montanari Annamaria, Morbidelli Daniele, Pascucci Andrea, Polidoro Sergio, Tralli Giulio, Uguzzoni Francesco   +10 more
doaj   +1 more source

On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise

Advances in Nonlinear Analysis, 2017
In this article, we deal with the stochastic perturbation of degenerate parabolic partial differential equations (PDEs). The particular emphasis is on analyzing the effects of a multiplicative Lévy noise on such problems and on establishing a well ...
Biswas Imran H., Majee Ananta K., Vallet Guy   +2 more
doaj   +1 more source

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
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Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line

Advanced Nonlinear Studies, 2017
Kamin and Vázquez [11] proved in 1991 that solutions to the Cauchy–Dirichlet problem for the porous medium equation ut=(um)x⁢x${u_{t}=(u^{m})_{xx}}$, m>1${m>1}$, on the half-line with zero boundary data and nonnegative compactly supported integrable ...
Cortázar Carmen, Quirós Fernando, Wolanski Noemi   +2 more
doaj   +1 more source

Selfsimilar Solutions of Barenblatt's Model for Turbulence

, 1993
. In this paper we consider Barenblatt's k \Gamma ffl model for turbulence. For the case of equal diffusion coefficients ff and fi Barenblatt found explicit compactly supported selfsimilar solutions.
Josephus Hulshof
core  

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

Coupled Parabolic and Hyperbolic Equations Modeling Age-Dependent Epidemic Dynamics with Nonlinear Diffusion

, 2008
. This paper considers a system of coupled second order parabolic and first order hyperbolic equations arising from the age-dependent diffusion population dynamics with an infectious disease.
Chaocheng Huang, Jiongmin Yong
core  

On some inverse problems for a degenerate parabolic equation with involution

Open Mathematics
In this paper, the solvability of some initial-boundary value problems is considered for a nonlocal analogue of the degenerate parabolic equation. The inverse problems are studied for the case where it is necessary to find not only a solution to the ...
Turmetov Batirkhan, Shalkhar Ainur
doaj   +1 more source

On a class of fully nonlinear parabolic equations

Advances in Nonlinear Analysis, 2016
We study the homogeneous Dirichlet problem for the fully nonlinear ...
Antontsev Stanislav, Shmarev Sergey
doaj   +1 more source