caa a22 4500 467891435 CHVBK 20180406152750.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s10955-006-9040-z doi (NATIONALLICENCE)springer-10.1007/s10955-006-9040-z 10.1007/s10955-006-9040-z [Elektronische Daten] [Sorin Bastea1, Raffaele Esposito, Joel Lebowitz, Rossana Marra] We derive hydrodynamic equations describing the evolution of a binary fluid segregated into two regions, each rich in one species,which are separated (on the macroscopic scale) by a sharp interface. Our starting point is a Vlasov-Boltzmann (VB) equation describing the evolution of the one particle position and velocity distributions, fi (x, v, t), i = 1, 2. The solution of the VB equation is developed in a Hilbert expansion appropriate for this system. This yields incompressible Navier-Stokes equations for the velocity field u and a jump boundary condition for the pressure across the interface. The interface, in turn, moves with a velocity given by the normal component of u. Springer Science+Business Media, Inc., 2006 Interface evolution nationallicence Navier-Stokes equations nationallicence Binary fluids nationallicence Phase segregation nationallicence Bastea1 Sorin Lawrence Livermore National Laboratory, P.O. Box 808, 94550, Livermore, CA, USA aut Esposito Raffaele Dipartimento di Matematica, Universit degli Studi di L'Aquila, 67100, Coppito, L'Aquila, Italy aut Lebowitz Joel Departments of Mathematics and Physics, Rutgers University, 08903, New Brunswick, NJ, USA aut Marra Rossana Dipartimento di Fisica, Università di Roma Tor Vergata e INFN, 00133, Roma, Italy aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/2-4(2006-08-01), 445-483 0022-4715 124:2-4<445 2006 124 10955 https://doi.org/10.1007/s10955-006-9040-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9040-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bastea1 Sorin Lawrence Livermore National Laboratory, P.O. Box 808, 94550, Livermore, CA, USA aut NATIONALLICENCE 700 1- Esposito Raffaele Dipartimento di Matematica, Universit degli Studi di L'Aquila, 67100, Coppito, L'Aquila, Italy aut NATIONALLICENCE 700 1- Lebowitz Joel Departments of Mathematics and Physics, Rutgers University, 08903, New Brunswick, NJ, USA aut NATIONALLICENCE 700 1- Marra Rossana Dipartimento di Fisica, Università di Roma Tor Vergata e INFN, 00133, Roma, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/2-4(2006-08-01), 445-483 0022-4715 124:2-4<445 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer