Pregled bibliografske jedinice broj: 630096
A multidimensional nonlinear sixth-order quantum diffusion equation
A multidimensional nonlinear sixth-order quantum diffusion equation // Annales de l Institut Henri Poincare-analyse non lineaire, 30 (2013), 2; 337-365 doi:10.1016/j.anihpc.2012.08.003 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 630096 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A multidimensional nonlinear sixth-order quantum diffusion equation
Autori
Bukal, Mario ; Jüngel, Ansgar ; Matthes, Daniel
Izvornik
Annales de l Institut Henri Poincare-analyse non lineaire (0294-1449) 30
(2013), 2;
337-365
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Higher-order diffusion equations; Quantum diffusion model; Entropy-dissipation estimate; Gradient flow
Sažetak
This paper is concerned with the analysis of a sixth-order nonlinear parabolic equation whose solutions describe the evolution of the particle density in a quantum fluid. We prove the global- in-time existence of weak nonnegative solutions in two and three space dimensions under periodic boundary conditions. Moreover, we show that these solutions are smooth and classical whenever the particle density is strictly positive, and we prove the long-time convergence to the spatial homogeneous equilibrium at a universal exponential rate. Our analysis strongly uses the Lyapunov property of the entropy functional.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Bukal
(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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
