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

http://ir.library.oregonstate.edu/concern/articles/cr56n2750

Descriptions

Attribute NameValues
Alternative Title
  • ξ
Creator
Abstract or Summary
  • 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
DOI
Date Available
Date Issued
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
Series
Rights Statement
Related Items
Funding Statement (additional comments about funding)
Publisher
Peer Reviewed
Language
Replaces
Additional Information
  • This is the publisher’s final pdf.
  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2014-05-28T19:43:11Z (GMT) No. of bitstreams: 1OssianderMinaMathematicsExponentBoundsConvolution.pdf: 215502 bytes, checksum: aa7ce9d760926ccf1cd1839e1ba34a3e (MD5)
  • description.provenance : Made available in DSpace on 2014-05-28T19:43:11Z (GMT). No. of bitstreams: 1OssianderMinaMathematicsExponentBoundsConvolution.pdf: 215502 bytes, checksum: aa7ce9d760926ccf1cd1839e1ba34a3e (MD5) Previous issue date: 2013-11
  • description.provenance : Submitted by Erin Clark (erin.clark@oregonstate.edu) on 2014-05-28T19:43:02ZNo. of bitstreams: 1OssianderMinaMathematicsExponentBoundsConvolution.pdf: 215502 bytes, checksum: aa7ce9d760926ccf1cd1839e1ba34a3e (MD5)

Relationships

Parents:

This work has no parents.

Last modified

Downloadable Content

Download PDF

Items