Exponent bounds for a convolution inequality in Euclidean space with applications to the Navier-Stokes equations

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/cr56n2750

Descriptions

Attribute Name	Values
Creator	Orum, Chris Ossiander, Mina
Abstract	The convolution inequality h ∗ h(ξ) ≤ B\|ξ\|θh(ξ) defined on Rⁿ arises from a probabilistic representation of solutions of the n-dimensional Navier-Stokes equations, n ≥ 2. Using a chaining argument, we establish in all dimensions n ≥ 1 the nonexistence of strictly positive fully supported solutions of this inequality for θ ≥ n/2.We use this result to describe a chain of continuous embeddings from spaces associated with probabilistic solutions to the spaces BMO⁻¹ and BMO⁻¹ₜ associated with the Koch-Tataru solutions of the Navier-Stokes equations.
Resource Type	Article
DOI	https://doi.org/10.1090/S0002-9939-2013-11662-X
Date Available	2014-05-28T19:43:11+00:00
Date Issued	2013-11
Citation	Orum, C., & Ossiander, M. (2013). Exponent bounds for a convolution inequality in Euclidean space with applications to the Navier-Stokes equations. Proceedings of the American Mathematical Society, 141(11), 3883-3897. doi:10.1090/S0002-9939-2013-11662-X
Journal Title	Proceedings of the American Mathematical Society
Journal Volume	141
Journal Issue/Number	11
权利声明	Copyright Not Evaluated
Related Items	American Mathematical Society
Funding Statement (additional comments about funding)	The U.S. National Science Foundation
Publisher	American Mathematical Society
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/48577
Additional Information	This is the publisher’s final pdf.