Hilbert-class or ‘‘normal’’ solutions for stationary heat flow

C. S. Kim, James W. Dufty, Andrés Santos, J. Javier Brey

Type: Article

Publication Date: 1989-01-01

Citations: 24

DOI: https://doi.org/10.1103/physreva.39.328

View Publication

Locations

Physical review. A, General physics - View
PubMed - View

Similar Works

Action	Title	Year	Authors
+	Convergence of a continuous BGK model for initial boundary-value problems for conservation laws	2001	D. Seghir
+	The hilbert expansion to the Boltzmann equation for steady flow	1982	Can F. Delale
+	Heat and momentum transport far from equilibrium	1987	J. Javier Brey Andrés Santos James W. Dufty
+ PDF Chat	Ill-posedness of the Boltzmann-BGK model in the exponential class	2024	Donghyun Lee Sungbin Park Seok-Bae Yun
+ PDF Chat	Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations	2013	Alexander N. Gorban I. V. Karlin
+	Wild's solution of the nonlinear Boltzmann equation	1988	R O Barrachina
+	Normal, high order discrete velocity models of the Boltzmann equation	2017	Stefan Brechtken Thomas Sasse
+	Asymptotic Theory of the Boltzmann Equation	1963	Harold Grad
+	Velocity distribution for a gas with steady heat flow	1989	Andrés Santos J. Javier Brey C. S. Kim James W. Dufty
+	Generalized Normal Solutions of the Boltzmann Equation	1963	Lawrence Sirovich
+	A kinetic generator for classical field theories with conservation laws	2020	Hiroshi Otomo Bruce M. Boghosian Sauro Succi
+	Boltzmann-type kinetic equations and discrete models	2023	A. V. Bobylev
+	Lattice Boltzmann for non-ideal fluids: Fundamentals and Practice	2023	Seyed Ali Hosseini I. V. Karlin
+	High accuracy numerical solutions of the Boltzmann Bhatnagar-Gross-Krook equation for steady and oscillatory Couette flows	2012	Ying Wan Yap John E. Sader
+	Lattice Boltzmann for non-ideal fluids: Fundamentals and Practice	2023	S. A. Hosseini S. A. Hosseini I. V. Karlin
+	Half-Space Problems for the Boltzmann Equation: A Survey	2006	Claude Bardos François Golse Yoshio Sone
+	On discrete velocity Boltzmann equations and the Painlevé analysis	2001	Norbert Euler Ove Lindblom
+ PDF Chat	On a Navier–Stokes–Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions	2017	Erika Maringová Josef Žabenský
+	Математическое моделирование процессов переноса для различных режимов течения разреженного газа в канале	2014	Лукашев Вячеслав Валерьевич Попов Василий Николаевич
+	Theory and applications of the Boltzmann equation	1986	HUANG ZU-QIA E. J. Ding

Works That Cite This (21)

Action	Title	Year	Authors
+	Couette Flow With Heat Transfer in the Whole Range of the Knudsen Number	2008	S. Misdanitis Dimitris Valougeorgis
+	Numerical study of the influence of gravity on the heat conductivity on the basis of kinetic theory	1999	Toshiyuki Doi Andrés Santos Mohamed Tij
+	Heat transfer in the transition regime: Solution of boundary value problems for Grad’s moment equations via kinetic schemes	2002	Henning Struchtrup
+	Monte Carlo simulation of a hard-sphere gas in the planar Fourier flow with a gravity field	2000	E. E. Tahiri Mohamed Tij Andrés Santos
+	Nonlinear transport of rarefied Couette flows from low speed to high speed	2020	Jihui Ou Jie Chen
+	Beyond the Navier–Stokes equations: Burnett hydrodynamics	2008	L. S. Garcı́a-Colı́n R. M. Velasco Francisco Uribe
+	稀薄气体效应对高超声速边界层稳定性的影响	2023	Jihui Ou Chenyue Wang Jie Chen
+	Local entropy in quasi-one-dimensional heat transport	2009	Chang Sub Kim Gary P. Morriss
+ PDF Chat	Analysis of nonlinear transport in Couette flow	1989	Chang Sub Kim James W. Dufty Andrés Santos J. Javier Brey
+ PDF Chat	Two-dimensional nonlinear nonequilibrium kinetic theory under steady heat conduction	2005	Kim Hyeon‐Deuk

Works Cited by This (9)

Action	Title	Year	Authors
+	Flow of a Rarefied Gas between Two Parallel Plates	1963	Carlo Cercignani A. Daneri
+	Divergence of the Chapman-Enskog Expansion	1986	Andrés Santos J. Javier Brey James W. Dufty
+	Asymptotic Theory of the Boltzmann Equation	1963	Harold Grad
+	Model for nonequilibrium computer simulation methods	1986	James W. Dufty Andrés Santos J. Javier Brey R. F. Rodríguez
+ PDF Chat	Theory and Application of the Boltzmann Equation	1976	C. Cercignani A. S. Berman
+	A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems	1954	P. L. Bhatnagar Eugene P. Gross Max Krook
+	Heat and momentum transport far from equilibrium	1987	J. Javier Brey Andrés Santos James W. Dufty
+	Kinetic model for steady heat flow	1986	Andrés Santos J. Javier Brey Vicente Garzó
+	Velocity distribution for a gas with steady heat flow	1989	Andrés Santos J. Javier Brey C. S. Kim James W. Dufty