Mathematical Theory of Incompressible Flows: Local Existence, Uniqueness, and Blow-Up of Solutions in Sobolev–Gevrey Spaces

Wilberclay G. Melo (), Natã Firmino Rocha () and Ezequiel Barbosa ()
Additional contact information
Wilberclay G. Melo: Universidade Federal de Sergipe, Departamento de Matemática
Natã Firmino Rocha: Universidade Federal de Minas Gerais, Departamento de Matemática
Ezequiel Barbosa: Universidade Federal de Minas Gerais, Departamento de Matemática

Chapter Chapter 11 in Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, 2019, pp 311-349 from Springer

Abstract: Abstract This work establishes the local existence and uniqueness as well as the blow-up criteria for solutions of the Navier–Stokes equations in Sobolev–Gevrey spaces. More precisely, if the maximal time of existence of solutions for these equations is finite, we demonstrate the explosion, near this instant, of some limits superior and integrals involving a specific usual Lebesgue spaces and, as a consequence, we prove the lower bounds related to Sobolev–Gevrey spaces.

Keywords: Navier–Stokes equations; Local existence and uniqueness of solutions; Blow-up criteria; Sobolev–Gevrey spaces (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-15242-0_11

Ordering information: This item can be ordered from
http://www.springer.com/9783030152420

DOI: 10.1007/978-3-030-15242-0_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().