On the stationary Boltzmann equation
Leif Arkeryd[1]
- [1] Department of Mathematics, Chalmers Institute of Technology, S-41296 Gothenburg, Sweden
Séminaire Équations aux dérivées partielles (2001-2002)
- Volume: 2001-2002, page 1-11
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top- Arkeryd, L., Cercignani, C., ’On the convergence of solutions of the Enskog equation to solutions of the Boltzmann equation’, Comm. Part. Diff. Eqns. 14, 1989, 1071-1089. Zbl0688.76053
- A rkeryd, L., Nouri, A., ’The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces’, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 27, 1998, 533-556. Zbl0936.76076
- Arkeryd, L., Nouri, A., ’On the stationary Povzner equation in three space variables’, J. Math. Kyoto Univ. 39, 1999, 115-153. Zbl1010.35022
- Arkeryd, L., Nouri, A., ’ solutions to the stationary Boltzmann equation in a slab’, Ann. Fac. Sci. Toulouse Math. 9, 2000, 375-413. Zbl0991.45005
- Arkeryd, L., Nouri, A., ’The stationary Boltzmann equation in with given indata’, to appear in Ann. Scuola Norm. Sup. di Pisa. Zbl1170.76350
- Cercignani, C., Illner, R., Pulvirenti, M., ’The mathematical theory of dilute gases’, Springer -Verlag, Berlin, 1994. Zbl0813.76001
- DiPerna, R. J., Lions, P. L., ’On the Cauchy problem for Boltzmann equations: Global existence and weak stability’, Ann. Math. 130, 1989, 321-366. Zbl0698.45010
- DiPerna, R. J., Lions, P. L., Meyer, Y., ’ regularity of velocity averages’, Anal. Non Lin. 8, 1991, 271-287. Zbl0763.35014
- Grad, H., ’High frequency sound recording according to Boltzmann equation’, SIAM J. Appl. Math. 14, 1966, 935-955. Zbl0163.23203
- Guiraud, J. P., ’Problème aux limites intérieur pour l’équation de Boltzmann en régime stationaire, faiblement non linéaire’, J. Méc. Théor. Appl. 11, 1972, 183-231. Zbl0245.76061
- Heintz, A., in preparation.
- Maslova, N., ’Non linear evolution equations, Kinetic approach’, Series on Advances in Mathematics for Applied Sciences, Vol 10, World Scientific, 1993. Zbl0846.76002
- Panferov, V., ’On the existence of stationary solutions to the Povzner equation in a bounded domain’, 2000, submitted.
- Ukai, S., Asano, K., ’Steady solutions of the Boltzmann equation for a gas flow past an obstacle; I existence’, Arch. Rat. Mech. Anal. 84, 1983, 249-291. Zbl0538.76070