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19912026
Showing 2023 · math.APShow all

5 papers · 2 filters

math.AP2023★ 1 cited

A relaxation approach to the minimisation of the neo-Hookean energy in 3D

Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1

Despite its high significance in nonlinear elasticity, the neo-Hookean energy is still not known to admit minimisers in some appropriate admissible class. Using ideas from relaxati…

math.AP2023★ 1 cited

The trace fractional Laplacian and the mid-range fractional Laplacian

Julio D. Rossi, Jorge Ruiz-Cases

In this paper we introduce two new fractional versions of the Laplacian. The first one is based on the classical formula that writes the usual Laplacian as the sum of the eigenvalu…

math.AP2023★ 2 cited

Entropy solutions to macroscopic IPM

Ángel Castro, Daniel Faraco, Björn Gebhard

We investigate maximal potential energy dissipation as a selection criterion for subsolutions (coarse grained solutions) in the setting of the unstable Muskat problem. We show that…

math.AP2023★ 1 cited

Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide

Delfina Gómez, Sergei A. Nazarov, Rafael Orive-Illera +1

In this paper, we provide uniform bounds for convergence rates of the low frequencies of a parametric family of problems for the Laplace operator posed on a rectangular perforated…

math.AP2023

Concentration limit for non-local dissipative convection-diffusion kernels on the hyperbolic space

María del Mar González, Liviu I. Ignat, Dragoş Manea +1

We study a non-local evolution equation on the hyperbolic space . We first consider a model for particle transport governed by a non-local interaction kernel defined…