Results 21 to 30 of about 836 (108)

Transport coefficients for inelastic Maxwell mixtures [PDF]

, 2004
The Boltzmann equation for inelastic Maxwell models is used to determine the Navier-Stokes transport coefficients of a granular binary mixture in $d$ dimensions.
A Barrat, A Santos, A Santos, A. Baldasarri, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, Antonio Astillero, C. Cercignani, E Ben-Naim, E Ben-Naim, G. A. Bird, Hong-qing Wang, J. M. Montanero, J. W. Dufty, JA Carrillo, JJ brey, JJ Brey, JM Montanero, JM Montanero, JM Montanero, K. Feitosa, M. H. Ernst, MH Ernst, P. A. Martin, PE Krouskop, PL Krapivsky, R. D. Wildman, S Dahl, S. Chapman, S. R. Groot de, TPC Noije van, UMB Marconi, UMB Marconi, V Garz�, V Garz�, V Garz�, V Garz�, V Garz�, V. Garz7oacute, Vicente Garz�   +41 more
core   +2 more sources

On generalized fractional differential equation with Sonine kernel on a function space

Partial Differential Equations in Applied Mathematics
Sonine kernel is a special type of the general kernels, satisfying some integrability and monotonicity conditions and properties. Sonine kernels generate some convolution polynomials (power functions) used in the construction of the general fractional ...
McSylvester Ejighikeme Omaba
doaj   +1 more source

Diffusion of impurities in a granular gas

, 2003
Diffusion of impurities in a granular gas undergoing homogeneous cooling state is studied. The results are obtained by solving the Boltzmann--Lorentz equation by means of the Chapman--Enskog method.
A. Barrat, A. Santos, A. Santos, B. Arnarson, C.S. Campbell, D. Paolotti, E. Ben-Naim, E.A. Mason, E.W. Grundke, H. Wang, I. Goldhirsch, J. Lutsko, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.M. Montanero, J.M. Montanero, J.M. Montanero, J.T. Jenkins, J.T. Willits, J.W. Dufty, J.W. Dufty, José María Montanero, K. Feitosa, L.L. Lee, M. Alam, M. López de Haro, N. Brilliantov, N. Menon, O. Zik, P. Krouskop, P. Zamankhan, P. Zamankhan, P.A. Martin, R. Clelland, R. Pagnani, R.D. Wildman, S.-S. Hsiau, S.B. Savage, S.R. Dahl, T. Boublik, T.P.C. van Noije, U.M.B. Marconi, U.M.B. Marconi, V. Garzó, V. Garzó, V. Garzó, V. Garzó, V.V.R. Natajaran, Vicente Garzó   +52 more
core   +1 more source

Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog

, 2005
We study the diffusion of tracers (self-diffusion) in a homogeneously cooling gas of dissipative particles, using the Green-Kubo relation and the Chapman-Enskog approach. The dissipative particle collisions are described by the coefficient of restitution
Abramowitz M., Ben-Naim E., Resibois P.
core   +1 more source

A note on the violation of the Einstein relation in a driven moderately dense granular gas

, 2008
The Einstein relation for a driven moderately dense granular gas in $d$-dimensions is analyzed in the context of the Enskog kinetic equation. The Enskog equation neglects velocity correlations but retains spatial correlations arising from volume ...
Baldasarri A, Bird G, Bunin G Shokef Y Levine D, Chapman S, Evans D J, Ferziger J, Hoover W G, Jenkins J T, McLennan J A, Noskowicz S H, Puglisi A, Pöschel T, Pöschel T, Vicente Garzó   +13 more
core   +1 more source

Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]

, 2009
We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on $\mathbb{R}$.
Mourou, Mohamed Ali
core   +5 more sources

Memory effects in the relaxation of a confined granular gas

, 2014
The accuracy of a model to describe the horizontal dynamics of a confined quasi-two-dimensional system of inelastic hard spheres is discussed by comparing its predictions for the relaxation of the temperature in an homogenous system with molecular ...
Brey, J. Javier, Buzón, V., de Soria, M. I. García, Maynar, P.   +3 more
core   +1 more source

Summing Sneddon–Bessel series explicitly

Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6590-6606, 15 May 2024.
We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum \limits_{m=1}^{\infty}\frac{J_{\alpha}\left(x{j}_{m,\nu}\right){J}_{\beta}\left(y{j}_{m,\nu}\right)}{j_{m,\nu}^{2n+\alpha +\beta -2\nu +2}{J}_{\nu +1}{\left({j}_ ...
Antonio J. Durán, Mario Pérez, Juan Luis Varona   +2 more
wiley   +1 more source

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density

, 2007
The Navier-Stokes transport coefficients for binary mixtures of smooth inelastic hard disks or spheres under gravity are determined from the Boltzmann kinetic theory by application of the Chapman-Enskog method for states near the local homogeneous ...
A. Barrat, A. Goldshtein, A. Santos, B. Arnarson, D. Paolotti, D. Serero, D.L. Blair, F. Rouyer, G.A. Bird, H. Wang, J. Jenkins, J.A. McLennan, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.J. Brey, J.M. Montanero, J.M. Montanero, J.M. Montanero, J.M. Montanero, J.S. Olafsen, J.T. Jenkins, J.T. Willits, José María Montanero, K. Feitosa, M. López de Haro, M. Schröter, M.H. Ernst, N.V. Brilliantov, P. Krouskop, P. Zamankhan, P.A. Martin, R. Pagnani, R.D. Wildman, R.D. Wildman, S. Chapman, S. Horluck, S. Warr, S.R. Dahl, T.P.C. Noije van, V. Garzó, V. Garzó, V. Garzó, V. Garzó, V. Garzó, V. Garzó, V. Garzó, V. Garzó, V. Garzó, V. Garzó, Vicente Garzó   +55 more
core   +1 more source