Pregled bibliografske jedinice broj: 1161549
A model in one-dimensional thermoelasticity
A model in one-dimensional thermoelasticity // Nonlinear analysis : theory, methods and applications, 216 (2022), 112703, 21 doi:10.1016/j.na.2021.112703 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1161549 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A model in one-dimensional thermoelasticity
Autori
Cieślak, Tomasz ; Galić, Marija ; Muha, Boris
Izvornik
Nonlinear analysis : theory, methods and applications (0362-546X) 216
(2022);
112703, 21
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Thermoelasticity ; Strong solution ; Weak solution
Sažetak
We study a one-dimensional nonlinear hyperbolic– parabolic initial boundary value problem occurring in the theory of thermoelasticity. We prove existence and uniqueness of the local-in-time strong solution. Also, some global-in-time weak measure valued solutions are proven to exist. To this end we introduce an auxiliary problem with artificial viscosity and prove its global-in-time well-posedness. Next, we show that solutions of the auxiliary problem converge, at some short time interval to the strong solution, and to our measure valued solution for an arbitrary time.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-3706 - Analiza problema interakcije fluida i strukture i primjene (FSIApp) (Muha, Boris, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
