English

Nonmonotone slip problem for miscible liquids

Mathematical Physics 2019-01-28 v1 Analysis of PDEs math.MP

Abstract

In this paper we prove the existence and uniqueness of a solution to the nonstationary two dimensional system of equations describing miscible liquids with nonsmooth, multivalued and nonmonotone boundary conditions of subdifferential type. We employ the regularized Galerkin method combined with results from the theory of hemivariational inequalities.

Keywords

Cite

@article{arxiv.1901.07489,
  title  = {Nonmonotone slip problem for miscible liquids},
  author = {Paweł Szafraniec and Stanisław Migórski},
  journal= {arXiv preprint arXiv:1901.07489},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-23T07:18:51.185Z