A variational view on constitutive laws in parabolic problems

Advances in Calculus of Variations 2026 Open access

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Authors: Stefan Schiffer, Espen Xylander
DOI: 10.1515/acv-2025-0076
Cited by: 0
References: 47

Abstract

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.

Fields of Study & Subjects

Contact Mechanics and Variational Inequalities Nonlinear Partial Differential Equations Optimization and Variational Analysis

Publication details

Journal / source
Advances in Calculus of Variations
Publisher
Walter de Gruyter GmbH
Volume
19
Issue
2
Pages
197–235
Publication date
30 January 2026
Language
EN