Pregled bibliografske jedinice broj: 1072097
GLOBAL EXISTENCE FOR A TWO-PHASE FLOW MODEL WITH CROSS-DIFFUSION
GLOBAL EXISTENCE FOR A TWO-PHASE FLOW MODEL WITH CROSS-DIFFUSION // Discrete & Continuous Dynamical Systems - B, 25 (2020), 3; 957-979 doi:10.3934/dcdsb.2019198 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1072097 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
GLOBAL EXISTENCE FOR A TWO-PHASE FLOW MODEL WITH
CROSS-DIFFUSION
Autori
Daus, Esther S. ; Milišić, Josipa-Pina ; Zamponi, Nicola
Izvornik
Discrete & Continuous Dynamical Systems - B (1531-3492) 25
(2020), 3;
957-979
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Cross-diffusion ; dynamic capillary pressure ; degenerate nonlinear parabolic system ; entropy method ; existence of solutions
Sažetak
In this work we study a degenerate pseudo-parabolic system with cross diffusion describing the evolution of the densities of an unsaturated two-phase flow mixture with dynamic capillary pressure in porous medium with saturation-dependent relaxation parameter and hypocoercive diffusion operator modeling cross diffusion. The equations are derived in a thermodynamically correct way from mass conservation laws. Global-in-time existence of weak solutions to the system in a bounded domain with equilibrium boundary conditions is shown. The main tools of the analysis are an entropy inequality and a crucial apriori bound which allows for controlling the degeneracy.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2019-04-1140 - Višeskalni problemi u mehanici fluida (MultiFM) (Pažanin, Igor, HRZZ - 2019-04) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Josipa-Pina Milišić
(autor)
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
