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Journées équations aux dérivées partielles
Table of contents for this volume | Previous article | Next article Mario Pulvirenti Kinetic and hydrodynamic equations for granular media Journées équations aux dérivées partielles (1999), Exp. No. 11, 8 p., doi: 10.5802/jedp.555
Article PDF | Reviews MR 2000h:74026 | Zbl 01810584
In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
[A] L. Arkeryd Existence theorems for certain kinetic equations Arch Rat Mech and Anal 103 pp 139-149, (1988). MR 89h:82014 | Zbl 0654.76073 [B] M. Bony Solutions globales bornées pour le modèles discrets de l'équation de Boltzmann en dimension 1 d'espace Act. Jour. E.D.P. St. Jean de Monts (1987). Cedram [BC] D. Benedetto, E. Caglioti Collapse for one-dimensional granular media preprint Roma (1998). [BCCP] D. Benedetto, E. Caglioti, J.A. Carrillo, M. Pulvirenti A non Maxwellian equilibrium distribution for one-dimensional granular media, Jour. Stat. Phys. 91 pp 979-990 (1998). MR 2000d:82035 | Zbl 0921.60057 [BCGP] D. Benedetto, E. Caglioti, F. Golse, M. Pulvirenti A Hydrodynamic Model Arising in the Context of Granular Media, preprint Roma (1998). Zbl 0946.76096 [BCP] D. Benedetto, E. Caglioti and M. Pulvirenti A Kinetic Equation for Granular Media, Math. Mod. and Num. An. 31 n. 5, pp 615-641 (1997). Numdam | MR 98k:82145 | Zbl 0888.73006 [BCPe] D. Benedetto, E. Caglioti and M. Pulvirenti A Kinetic Equation for Granular Media : erratum, (to appear). Zbl 0972.74017 [BCP2] D. Benedetto, E. Caglioti, M. Pulvirenti A one dimensional Boltzmann equation with inelastic collisions, (in press on Rend. Sem. Mat. Fis. Milano 1998). [BM] B. Bernu and R. Mazighi One-dimensional bounce of inelastically colliding marbles on a wall, Jour. of Phys. A : Math. Gen. 23 pp. 5745-5754 (1990). Zbl 0729.73648 [C] S. Campbell Rapid Granular Flows, Ann. Rev. of Fluid Mech. 22 pp. 57-92 (1990). [CGM] P. Constantin, E. Grossman, M. Mungan Inelastic collisions of three particles on a line as a two-dimensional billiard, Physica D 83 pp. 409-420 (1995). MR 96k:70011 | Zbl 0900.70198 [DLK] Y. Du, H. Li, L. P. Kadanoff, Breakdown of Hydrodynamics in One-Dimensional System of Inelastic Particles, Phys. Rev. Lett. 74 (8), pp. 1268-1271, (1995).
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