Work

A variational view on constitutive laws in parabolic problems

Year: 2026

Type: article

Abstract: We consider a variational approach to solve parabolic problems by minimising a functional over time and space. To achieve existence results, we investigate the notion of 𝒜 {\mathscr{A}} -quasiconvexity for non-homogeneous operators in anisotropic spaces. The abstract theory is then applied to formulate a variational solution concept for the generalised Navier–Stokes equations.

Source: Advances in Calculus of Variations

DOI: 10.1515/acv-2025-0076

Authors: Stefan Schiffer, Espen Xylander

Institutions: Max Planck Institute for Mathematics in the Sciences, University of Stuttgart

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,712

Funder: Deutsche Forschungsgemeinschaft