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Boltzmann equation
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51	Mathematical Theory of Boltzmann Equation Seiji Ukai and Tong Yang Department of Mathematics and Liu Bie Ju Center for Mathematical Sciences City University of Hong Kong Add to Reading List Source URL: www6.cityu.edu.hk Language: English - Date: 2007-07-10 06:01:35 Mathematics Statistical mechanics Thermodynamics Fluid dynamics Ludwig Boltzmann Boltzmann equation Navier–Stokes equations Kinetic theory Xi Physics Partial differential equations Mathematical analysis
52	Global Solutions to the Boltzmann Equation with External Forces Seiji Ukai Department of Applied Mathematics, Yokohama National University 79-5 Tokiwadai, Hodogaya-ku, Yokohama[removed], Japan Tong Yang Add to Reading List Source URL: www6.cityu.edu.hk Language: English - Date: 2005-10-27 23:04:40 Multivariable calculus Partial differential equation Differential geometry Connection Fiber bundles Symbol Spectral theory of ordinary differential equations Calculus Mathematical analysis Mathematics
53	LOCAL SOLUTIONS WITH POLYNOMIAL DECAY IN THE VELOCITY VARIABLES TO THE BOLTZMANN EQUATION FOR SOFT POTENTIALS Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-01-21 02:45:33 Rotational symmetry Partial differential equations Atomic physics M-estimator Sobolev space Jet bundle Spherical harmonics Mathematical analysis Mathematics Fourier analysis
54	Poisson-Boltzmann Equation Electrolyte Solutions ρi(r) = qi p(r) = charge density = charge per unit volume (r) ∇·[ε(r)∇·φi(r)] = εr = 1 Add to Reading List Source URL: www.colby.edu Language: English - Date: 2003-12-01 10:17:58 Science Physics Poisson–Boltzmann equation Polarization density Maxwell–Boltzmann distribution Debye–Hückel theory Chemistry Colloidal chemistry Physical chemistry
55	Accelerated expanding models with Vlasov matter Hayoung Lee Max-Planck-Institute for gravitational physics (Albert Einstein Institute), Germany Add to Reading List Source URL: www-old.newton.ac.uk Language: English - Date: 2013-04-16 11:18:01 Statistical mechanics Astrophysics Equations Vlasov equation Inflation Boltzmann equation Universe Nonlinear system Cosmological constant Physics Physical cosmology Plasma physics
56	Numerical analysis of Io's atmosphere based on a model Boltzmann equation : Unsteady behavior during eclipse Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-01-21 02:45:32 Continuum mechanics Physics Kirchhoff–Love plate theory Beta wavelet Atmosphere Barometric formula Shock
57	Solutions of the linear Boltzmann equation and some Dirichlet series Add to Reading List Source URL: www.newton.ac.uk Language: English - Date: 2014-05-31 12:19:08 Functional analysis Multivariable calculus Partial differential equation Distribution Spectral theory of ordinary differential equations Symbol Mathematical analysis Calculus Mathematics
58	ENTROPY AND H THEOREM THE MATHEMATICAL LEGACY OF LUDWIG BOLTZMANN Cambridge/Newton Institute, 15 November 2010 Add to Reading List Source URL: www.newton.ac.uk Language: English - Date: 2014-05-31 12:19:33 Mathematical analysis Ludwig Boltzmann Boltzmann equation Distribution function Maxwell–Boltzmann distribution Entropy in thermodynamics and information theory Statistical mechanics Calculus Physics
59	EUROPHYSICS LETTERS 1 April 2006 Europhys. Lett., 74 (1), pp. 181–[removed]DOI: [removed]epl/i2005[removed] Add to Reading List Source URL: www.reflec.ameslab.gov Language: English Colloidal chemistry Equilibrium chemistry Electrochemistry Ions Electric charge Surface charge Ionic bond Ion-association Poisson–Boltzmann equation Chemistry Physics Electromagnetism
60	PRISM Seminar Series – Spring 2009 Solutions of the Boltzmann Equation via a Discrete Velocity Monte Carlo Method Professor Philip L. Varghese University of Texas Austin Friday, April 17, 2009 Add to Reading List Source URL: www.purdue.edu Language: English Science Probability and statistics Computational physics Direct simulation Monte Carlo Probabilistic complexity theory Numerical analysis Ludwig Boltzmann Differential equation Wave Statistical mechanics Physics Monte Carlo methods