The importance of Luis Caffarelli's work in the study of fluids
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929740591398912 |
|---|---|
| author | Esteban, Maria J. |
| author_facet | Esteban, Maria J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The importance of Luis Caffarelli's work in the study of fluids Esteban, Maria J. Analysis of PDEs Primary 76D03, Secondary 76D05, 76B10, 76D25, 76D45 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. |
| title | The importance of Luis Caffarelli's work in the study of fluids |
| topic | Analysis of PDEs Primary 76D03, Secondary 76D05, 76B10, 76D25, 76D45 |
| url | https://arxiv.org/abs/2503.02575 |