English

The Lagrange multiplier and the stationary Stokes equations

Analysis of PDEs 2023-07-07 v1

Abstract

We briefly discuss the notion of the Lagrange multiplier for a linear constraint in the Hilbert space setting, and we prove that the pressure pp appearing in the stationary Stokes equations is the Lagrange multiplier of the constraint divu=0\mathrm{div}\, u =0.

Cite

@article{arxiv.1703.08216,
  title  = {The Lagrange multiplier and the stationary Stokes equations},
  author = {Wojciech Ozanski},
  journal= {arXiv preprint arXiv:1703.08216},
  year   = {2023}
}

Comments

4 pages