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Asymptotic behavior for a nonlocal diffusion equation in exterior domains: The critical two-dimensional case
(2016)
We study the long time behavior of bounded, integrable solutions to a nonlocal diffusion equation, partial derivative(t)u = J * u - u, where J is a smooth, radially symmetric kernel with support B-d(0) subset of R-2. The ...
Asymptotic behavior for a nonlocal diffusion equation in exterior domains: the critical two-dimensional case
(Elsevier Inc, 2016-04)
We study the long time behavior of bounded, integrable solutions to a nonlocal diffusion equation, ∂tu = J ∗ u − u, where J is a smooth, radially symmetric kernel with support Bd(0) ⊂ R2. The problem is set in an exterior ...
Optimal Boussinesq model for shallow-water waves interacting with a microstructure
(2007-10-12)
In this paper, we consider the propagation of water waves in a long-wave asymptotic regime, when the bottom topography is periodic on a short length scale. We perform a multiscale asymptotic analysis of the full potential ...
Asymptotic behavior for a one-dimensional nonlocal diffusion equation in exterior domains
(2016)
We study the large time behavior of solutions to the nonlocal diffusion equation partial derivative(t)u = J * u - u in an exterior one-dimensional domain, with zero Dirichlet data on the complement. In the far field scale, ...
Near-field asymptotics for the porous medium equation in exterior domains. The critical two-dimensional case.
(2018)
We consider the porous medium equation in an exterior two-dimensional domain that excludes a hole, with zero Dirichlet data on its boundary. Gilding and Goncerzewicz proved in 2007 that in the far-field scale, which is the ...
Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line
(2017)
Kamin and Vazquez [11] proved in 1991 that solutions to the Cauchy-Dirichlet problem for the porous medium equation u(t) = (u(m))(xx), m > 1, on the half-line with zero boundary data and nonnegative compactly supported ...
An optimization -based matching estimator : large and small sample properties
(Universidad de Chile, 2014-12)
This work proposes a novel matching estimator where weights and the choice of neighbors
used are endogenously determined by solving an optimization problem. The estimator is
non-parametric and is based on nding, for ...
Asymptotic optimality of degree-greedy discovering of independent sets in Configuration Model graphs
(Elsevier Science, 2021-01)
Finding independent sets of maximum size in fixed graphs is well known to be an NP-hard task. Using scaling limits, we characterise the asymptotics of sequential degree-greedy explorations and provide sufficient conditions ...
Robust randomized matchings
(INFORMS Inst.for Operations Res.and the Management Sciences, 2018)
The following game is played on a weighted graph: Alice selects a matching M and
Bob selects a number k. Alice’s payoff is the ratio of the weight of the k heaviest edges
of M to the maximum weight of a matching of size ...