Now showing items 11-20 of 221
Estimation of effective diffusivity in drying of heterogeneous porous media
(Amer Chemical SocWashingtonEUA, 2000)
Decay bounds for nonlocal evolution equations in Orlicz spaces
(Duke University Press, 2016-03)
We show decay bounds of the form ∫Rd ϕ(u(x,t))dx≤Ct-μ for integrable and bounded solutions to the nonlocal evolution equation ut(x,t)= ∫Rd J(x,y)G(u(y,t)-u(x,t))(u(y,t)-u(x,t))dy+f(u(x,t)). Here G is a nonnegative and even ...
Error bounds in diffusion tensor estimation using multiple-coil acquisition systems
(Elsevier Science Inc, 2013-06)
We extend the diffusion tensor (DT) signal model for multiple-coil acquisition systems. Considering the sum-of-squares reconstruction method, we compute the Cramér–Rao bound (CRB) assuming the widely accepted noncentral ...
Continuity of attractors for parabolic problems with localized large diffusion
(PERGAMON-ELSEVIER SCIENCE LTD, 2008)
In this paper we study the continuity of asymptotics of semilinear parabolic problems of the form u(t) - div(p(x)del u) + lambda u =f(u) in a bounded smooth domain ohm subset of R `` with Dirichlet boundary conditions when ...
Atomistic prediction of equilibrium vacancy concentrations in Ni3Al
(American Physical SocCollege PkEUA, 2002)
Decay estimates for nonlinear nonlocal diffusion problems in the whole space
In this paper, we obtain bounds for the decay rate in the Lr (ℝd)-norm for the solutions of a nonlocal and nonlinear evolution equation, namely, ut(x,t)=∫RdK(x,y)|u(y,t)−u(x,t)|p−2(u(y,t)−u(x,t))dy,x∈Rd,t>0. We consider a ...
Refinements of spectral resolutions and modelling of operators in II1 factors
(Theta Foundation, 2008-03)
We study refinements between spectral resolutions in an arbitrary II1 factor M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. ...
Nonlocal diffusions on fractals. Qualitative properties and numerical approximations.
(Oxford University Press, 2016-07)
We propose a numerical method to approximate the solution of a nonlocal diffusion problem on a general setting of metric measure spaces. These spaces include, but are not limited to, fractals, manifolds and Euclidean ...
On the Initial-Boundary-Value Problem for the Time-Fractional Diffusion Equation on the Real Positive Semiaxis
(Hindawi Publishing Corporation, 2015-09)
We consider the time-fractional derivative in the Caputo sense of order α ∈ (0, 1). Taking into account the asymptotic behavior and the existence of bounds for the Mainardi and the Wright function in R+, two different ...
Asymptotic Behavior for a nonlocal diffusion equation on the half line
(Amer Inst Mathematical Sciences, 2015-04)
We study the large time behavior of solutions to a nonlocal diffusion equation, ut=J∗u−u with J smooth, radially symmetric and compactly supported, posed in R+ with zero Dirichlet boundary conditions. In the far-field ...