4th International workshop on nonequilibrium thermodynamics and complex fluids

	IWNET 2006	4th International workshop on nonequilibrium thermodynamics and complex fluids 3-7 september 2006, Rhodes, Greece

Home Scope Location Speakers Program Abstracts Author index Organizing Committee Scientific Committee Venue & Accomodation Registration News Contact		POSTER PRESENTATION Tuesday, 15:40, Panel No. 2 Regularization of the Burnett Hydrodynamics M. Colangeli¹, I.V. Karlin², H.C. Öttinger¹ ¹ ETH Zürich, Dept. of Materials, Polymer Physics, Switzerland ² Institute of Energy Technology, ETH Zurich, Zurich 8092, Switzerland As it was first demonstrated by Bobylev [1], even in the simplest regime (one-dimensional linear deviations around the global equilibrium), the Burnett hydrodynamic equations violate the basic physics behind the Boltzmann equation. Namely, sufficient short acoustic waves are amplified with time instead decaying. This contradicts the H-theorem, since all near-equilibrium perturbations must decay. The lower order truncation of the Chapman-Enskog expansion also contradicts the dissipative properties of Grad moment equations [2]. The mathematical reason for the instability paradox is shown and a method to regularize the equations of hydrodynamics is proposed. © IWNET 2006 [1] Bobylev, A.V., Instabilities in the Chapman-Enskog Expansion and Hyperbolic Burnett Equations, Journal of Stat. Phys., DOI: 10.1007/s10955-005-8087-6 (2006). [2] Gorban, A.N, Karlin, I.V., Hydrodynamics from Grad's equations: What can we learn from exact solutions? Ann. Phys. (Leipzig) 11 (2002).

		© and Kleanthi for IWNET 2006