Work

Existence of Solutions to the Nonstationary Stokes System with a Nonlinear Overdetermination Condition

Year: 2026

Type: article

Abstract: In this paper, we study an inverse problem for the nonstationary Stokes system in a bounded domain Ω with a nonlinear integral overdetermination condition, describing the kinetic energy E(t) of the fluid. We construct two classes of solutions: weak and very weak. In the case where the kinetic energy E belongs to W21(0,T), we construct weak solutions. If E belongs only to L2(0,T), we construct very weak solutions.

Source: Mathematics

DOI: 10.3390/math14091402

Authors: Vytautas Bačianskas, Kristina Kaulakytė

Institution: Vilnius University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Lietuvos Mokslo Taryba