Pregled bibliografske jedinice broj: 1150209
A remark on the derivation of an effective model describing the flow of fluid in a reservoir with small holes
A remark on the derivation of an effective model describing the flow of fluid in a reservoir with small holes // Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 53 (2021), 13; 1-8 doi:10.13137/2464-8728/32276 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1150209 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A remark on the derivation of
an effective model describing the flow
of fluid in a reservoir with small holes
Autori
Marušić-Paloka, Eduard ; Prša, Marija
Izvornik
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste (0049-4704) 53
(2021), 13;
1-8
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Stokes problem, very weak solution, concentrated boundary condition, Dirac measure
Sažetak
We study the flow of the fluid in a reservoir with several small holes. The velocities on holes (injection and ejection) are prescribed and high. As the size of each holes shrinks to one point, the boundary value degenerates to a Dirac masses concentrated on the boundary. We prove that the solution of the Stokes system, describing the original flow, converges to the very-weak solution of the Stokes system with Dirac measures on the boundary.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-2735 - Asimptotička analiza rubnih problema u mehanici kontinuuma (ASAN) (Marušić-Paloka, Eduard, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
