Work

The importance of Luis Caffarelli’s work in the study of fluids

Year: 2025

Type: article

Abstract: In this paper we describe the work of Luis Caffarelli in the area of fluid mechanics and related topics. Not only has his work on fluid mechanics been very influential, but many of his contributions that do not directly relate to fluid mechanics, such as his important results on the fractional Laplacian or the regularity of solutions to linear parabolic equations with oscillating coefficients, have been used in the study of fluids in many important ways. Thus, any review of his work has to include his contributions to the general (partial) regularity theory of solutions of Navier–Stokes equations and other studies related to fluid motion.

Source: Bulletin of the American Mathematical Society

DOI: 10.1090/bull/1861

Author: Maria Esteban

Institutions: Centre National de la Recherche Scientifique, Centre de Recherche en Mathématiques de la Décision, Université Paris Sciences et Lettres, Université Paris Dauphine-PSL

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408148564

FWCI:

Cites: 91

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Related to: 10