Work

Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy

Year: 2025

Type: article

Abstract: We consider the system of viscoelasticity with higher-order gradients and nonconvex energy in several space dimensions. We establish the asymptotic limits when the viscosity ν → 0 or when the dispersion coefficient δ → 0 . For the latter problem, it is worth noting that, for the case of two space dimensions, we also establish a rate of convergence. This result bears analogies to a result of Chemin (1996 Commun. PDE 21 1771–79) on the rate of convergence of the zero-viscosity limit for the two-dimensional Navier–Stokes equations with bounded vorticity.

Source: Nonlinearity

DOI: 10.1088/1361-6544/add077

Authors: Aseel AlNajjar, Stefano Spirito, Athanasios E Tzavaras

Institutions: King Abdullah University of Science and Technology, University of L'Aquila

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", King Abdullah University of Science and Technology