| Title |
Existence of solutions to the nonstationary stokes system with a nonlinear overdetermination condition |
| Authors |
Bačianskas, Vytautas ; Kaulakytė, Kristina |
| DOI |
10.3390/math14091402 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI AG. 2026, vol. 14, iss. 9, art. no. 1402, p. [1-18].. eISSN 2227-7390 |
| Keywords [eng] |
inverse problem ; nonstationary Stokes system ; very weak solution ; primitive function ; Lebesgue points |
| Abstract [eng] |
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. |
| Published |
Basel : MDPI AG |
| Type |
Journal article |
| Language |
English |
| Publication date |
2026 |
| CC license |
|
