has
the following formASYMPTOTIC ANALYSIS IN EXTENDED KINETIC THEORY
Linear Boltzmann equation describing such
phenomena for the distribution function of particles has
the following form
S is the streaming operator, 
and 
are,
respectively, inelastic and elastic scattering operators.
These papers are devoted to the study of the hydrodynamic limits with different scalings between elastic and inelastic scattering.
| 1. | J.Banasiak, G.Frosali, G.Spiga | Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory | Math. Models Methods Appl. Sci., 8(5), 851-874 (1998) |
|---|---|---|---|
| 2. | G.L.Caraffini, C.E.Catalano, G.Spiga | On the small mean free asymptotics of the transport equation with elastic and inelastic scattering | Riv. Mat. Univ. Parma , 20, (1998) |
| 3. | J.Banasiak | Mathematical properties of inelastic scattering models in linear kinetic theory | Math. Models Methods Appl. Sci., 10(2), (2000) |
| 4. | J.Banasiak, L.Demeio | Diffusion approximations of a linear kinetic equation with inelastic scattering: asymptotic analysis and numerical results | Transport Theory Stat. Phys., 28(5), 475-498(1999) |
| 5. | L.Demeio, G. Frosali | Different scalings in the asymptotic analysis for kinetic equations with elastic and inelastic scattering | Dipartimento di Matematica "V.Volterra" Università di Ancona, Rapporto n.2, 1999 |
| 6. | L.Demeio, G. Frosali | Diffusion approximations of kinetic equations with elastic and inelastic scattering: a comparison of different scalings | Sommari del IV Congresso Naz. Ital. Matematica Industriale e Applicata, SIMAI98 , 2, 316-319 (1998) |
| 7. | J.Banasiak, G.Frosali, G.Spiga | Inelastic scattering models in transport theory and their small mean free path analysis | Math. Methods Appl. Sci., 22, 121-145 (2000) |
| 8. | J. Banasiak | On a diffusion-kinetic equation arising in extended kinetic theory | Math. Methods Appl. Sci., 23, 1237-1256 (2000) |
| 9. | L.Demeio, G.Frosali | Theoretical and numerical comparison for hydrodynamic limits for kinetic equations with elastic and inelastic scattering | Atti X Int. Conf. on Waves and Stability in Continuous Media - WASCOM 1999 |
| 10. | J. Banasiak | Diffusion approximation of an inelastic scattering models in linear kinetic theory | Advances Math. Sciences Appl., 10(1) 375-397 (2000) |
| 11. | L.Demeio, G.Frosali | Diffusion limits of the linear Boltzmann equation in extended kinetic theory: weak and strong inelastic collisions | Rend. Seminario Univ. Milano (to appear) |
| 12. | J. Banasiak | The existence of moments of solutions to transport equation with inelastic scattering and their application in the asymptotic analysis | Atti Sem. Mat. Fis.Modena (to appear) |
| 13. | J.Banasiak, G.Frosali, G.Spiga | The interplay between elastic and inelastic scattering operators in models of extended kinetic theory and their hydrodynamic limits | submitted to TTSP |
Last Updated: 29 september 2000, by Giovanni Frosali