Naslov
Quantum Navier–Stokes equations

Autori
Juengel, Ansgar ; Milišić, Josipa Pina

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Progress in Industrial Mathematics at ECMI 2010 / Günther, M. ; Bartel, A. ; Brunk, M. ; Schoeps, S. ; Striebel, M - : Springer, 2012

ISBN
978-3-642-25099-6

Skup
The 16-th European Conference on Mathematics for Industry

Mjesto i datum
Wuppertal, Njemačka, 26.07.2010. - 30.07.2010

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Quantum Navier-Stokes equations; density-dependent viscosity; Chapman-Enskog expansion; finite differences; tunneling diode; semiconductors.

Sažetak
Compressible Navier–Stokes models for quantum fluids are reviewed. They are derived from a collisional Wigner equation by a moment method and a Chapman–Enskog expansion around the quantum equilibrium. Introducing a new velocity variable, the barotropic quantum Navier-Stokes model can be reformulated as a viscous quantum Euler system, which possesses a new Lyapunov (energy) functional. This functional provides a priori estimates which are exploited to prove the global-in-time existence of weak solutions for general initial data. Furthermore, new numerical results for the isothermal model are presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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