Quantum Navier–Stokes equations (CROSBI ID 580115)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Juengel, Ansgar ; Milišić, Josipa Pina
engleski
Quantum Navier–Stokes equations
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.
Quantum Navier-Stokes equations; density-dependent viscosity; Chapman-Enskog expansion; finite differences; tunneling diode; semiconductors.
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Podaci o prilogu
2012.
objavljeno
Podaci o matičnoj publikaciji
Progress in Industrial Mathematics at ECMI 2010
Günther, M. ; Bartel, A. ; Brunk, M. ; Schoeps, S. ; Striebel, M
Springer
978-3-642-25099-6
Podaci o skupu
Nepoznat skup
predavanje
29.02.1904-29.02.2096