Pregled bibliografske jedinice broj: 2368
The Continuity Equation with Random Velocity Field and the Expectation of Its Solutions
The Continuity Equation with Random Velocity Field and the Expectation of Its Solutions // Journal of Mathematical Analysis & Applications, 212 (1997), 1; 209-224 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 2368 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Continuity Equation with Random Velocity Field and the Expectation of Its Solutions
Autori
Limić, Nedžad ; Pasarić, Zoran
Izvornik
Journal of Mathematical Analysis & Applications (0022-247X) 212
(1997), 1;
209-224
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
linear transport; diffusion equation
Sažetak
The continuity equation with the random velocity field in the d-dimensional space is studied and the existence of the corresponding family of random evolution operators is proved. In case of the random velocities defined by means of the Gaussian random fields the expectations of the evolution operators are derived and represented in terms of the diffusion operator. The obtained result is applied to the environmental transport problem on a bounded domain. The obtained transport models generalize the conventional transport model defined by means of the diffusion advection equation.
Izvorni jezik
Engleski
Znanstvena područja
Biologija
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
