Academic Journal
The importance of Luis Caffarelli’s work in the study of fluids: The importance of Luis Caffarelli's work in the study of fluids
| Τίτλος: | The importance of Luis Caffarelli’s work in the study of fluids: The importance of Luis Caffarelli's work in the study of fluids |
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| Συγγραφείς: | Esteban, Maria J. |
| Πηγή: | Bulletin of the American Mathematical Society. 62:301-325 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | American Mathematical Society (AMS), 2025. |
| Έτος έκδοσης: | 2025 |
| Θεματικοί όροι: | regularity, fluid mechanics, Navier-Stokes equations for incompressible viscous fluids, Wakes and jets, jet flows, boundary regularity, Mathematics - Analysis of PDEs, Primary 76D03, Secondary 76D05, 76B10, 76D25, 76D45, interface regularity free boundaries capillary drops, Capillarity (surface tension) for incompressible viscous fluids, FOS: Mathematics, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Navier-Stokes equations, quasi-geostrophic models, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP) |
| Περιγραφή: | 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. |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/xml |
| Γλώσσα: | English |
| ISSN: | 1088-9485 0273-0979 |
| DOI: | 10.1090/bull/1861 |
| DOI: | 10.48550/arxiv.2503.02575 |
| Σύνδεσμος πρόσβασης: | http://arxiv.org/abs/2503.02575 |
| Rights: | CC BY URL: https://www.ams.org/publications/copyright-and-permissions |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....4937e5e02dbe3a69c94fc126ca08e01c |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 10889485 02730979 |
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| DOI: | 10.1090/bull/1861 |