Results 51 to 60 of about 115,619 (374)
The boundary degeneracy theory of a strongly degenerate parabolic equation
, 2016 A kind of strongly degenerate parabolic equations, ∂u∂t=∂∂xi(aij(u,x,t)∂u∂xj)+∂bi(u,x,t)∂xi,(x,t)∈Ω×(0,T),$$\frac{\partial u}{\partial t} =\frac{\partial}{\partial x_{i}} \biggl(a^{ij}(u,x,t) \frac{\partial u}{\partial x_{j}} \biggr)+\frac{\partial b_{i}(
Huashui Zhan
semanticscholar +1 more source
Continuous dependence estimate for a degenerate parabolic–hyperbolic equation with Lévy noise [PDF]
, 2016 In this article, we are concerned with a multidimensional degenerate parabolic–hyperbolic equation driven by Lévy processes. Using bounded variation (BV) estimates for vanishing viscosity approximations, we derive an explicit continuous dependence ...
U. Koley, A. K. Majee, G. Vallet
semanticscholar +1 more source
A strongly degenerate parabolic aggregation equation [PDF]
Communications in Mathematical Sciences, 2011 This paper is concerned with a strongly degenerate convection-diffusion equation in one space dimension whose convective flux involves a non-linear function of the total mass to one side of the given position. This equation can be understood as a model of aggregation of the individuals of a population with the solution representing their local density.
Betancourt, F. +2 more
openaire +5 more sources
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010 The classification of the weak solutions to Dirichlet initial boundary value problemassociated with a linear degenerate parabolic equation has been studied. Some applications to associated optimal control problems in coeffcients are discussed.
I. G. Balanenko, P. I. Kogut
doaj +1 more source
Homogeneous Dirichlet condition of an anisotropic degenerate parabolic equation
, 2015 Consider the following anisotropic degenerate parabolic equation: ∂u∂t=∂∂xi(aij(u)∂u∂xj)+∂bi(u)∂xi,(x,t)∈Ω×(0,T),$$\frac{\partial u}{\partial t} =\frac{\partial}{\partial x_{i}} \biggl(a^{ij}(u)\frac{\partial u}{\partial x_{j}} \biggr)+\frac{\partial b_{
Huashui Zhan
semanticscholar +1 more source
, 2017 Domain decomposition based time integrators allow the usage of parallel and distributed hardware, making them well-suited for the temporal discretization of parabolic systems, in general, and degenerate parabolic problems, in particular.
Eisenmann, Monika, Hansen, Eskil
core +1 more source
Periodic solutions for a degenerate parabolic equation
Applied Mathematics Letters, 2009 AbstractIn this work, we establish the existence of nontrivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms. The key is the using of Moser’s iteration technique and the theory of the Leray–Schauder degree.
Jiebao Sun +3 more
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Discontinuous “viscosity” solutions of a degenerate parabolic equation [PDF]
Transactions of the American Mathematical Society, 1990 We study a nonlinear degenerate parabolic equation of the second order. Regularizing the equation by adding some artificial viscosity, we construct a generalized solution. We show that this solution is not necessarily continuous at all points.
BERTSCH, MICHIEL, Dal Passo R, Ughi, M.
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From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad +4 more
wiley +1 more source
Wetting of Surface Grafted Hydrophilic‐b‐Hydrophobic Block Copolymer Brushes
Advanced Functional Materials, EarlyView.The wetting properties of surface grafted diblock copolymer brushes are influenced by the thickness of the hydrophilic bottom block and the hydrophobic top block. The surface adapts in presence of water and the contact angles of the bottom block shine through. Abstract The wetting of diblock copolymer brushes by water is studied.
Benjamin Leibauer +7 more
wiley +1 more source