English

Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials

Analysis of PDEs 2012-10-15 v2

Abstract

Multiple spatial zero formations for Stokes and Navier-Stokes equations in three dimensions are shown to occur according to nodal sets of solenoidal Hermite polynomials. Extensions to well-posed Burnett equations with the bi-harmonic viscosity operator are also discussed.

Keywords

Cite

@article{arxiv.1107.3045,
  title  = {Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials},
  author = {V. A. Galaktionov},
  journal= {arXiv preprint arXiv:1107.3045},
  year   = {2012}
}

Comments

16 pages. arXiv admin note: text overlap with arXiv:0901.4286