A three-dimensional Boltzmann-like model of outgassing and contamination

European Journal of Applied Mathematics

Volumn 8, Issue 2, 1997, Pages 229-249

  Belleni Morante, A ^a   Busoni, G ^b  

^a Dipartimento di Ingegneria Civile   (Italy)

^b Dipartimento di Matematica U Dini   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031508654     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0956792596002975     Document Type: Article

References (15)

1. ARYS, R. (1975) The Mathematical Theory of Diffusion and Reaction in Permeable Catalysis. Oxford University Press.
2. BUSENBERG, S. et al. (1990) Analysis of a diffusion-convection system modeling a contamination problem. Applicable Analysis 39, 165-183.
3. DAYTON, B. B. (1963) The effect of bake-out on the outgassing of metals. Transactions of the 9th Symposium in Vacuum technology, 293-300.
4. FANG, W. et al. (1991) A mathematical model for outgassing and contamination. Siam J. Appl. Math. 51, 1327-1355.
5. SCIALDONE, J. J. (1976) An estimate of outgassing of space payloads and its gaseous influence on environment. J. Spacecr. Rock. 23, 373-378.
6. BELLENI-MORANTE, A., FASANO, A. & PRIMICERIO, M. (1992) Existence and uniqueness of the solution of a problem of outgassing and contamination. Advances in Math. Sci. and Appl. 1, 195-206.
7. BELLENI-MORANTE, A. & BUSONI, G. (1993) Outgassing and contamination: strict solution of a Boltzmann-like model. Math. Meth. Appl. Sci. 16, 799-817.
8. FASANO, A. & PRIMICERIO, M. (1990) Sul problema della degassazione e contaminazione di superfici in ambienti rarefatti. Atti Accademia Peloritana del Pericolanti 68, 473-490.
9. BELLENI-MORANTE, A. (1979) Applied Semigroups and Evolution Equations. Clarendon Press.
10. BELLENI-MORANTE, A. (1994) A Concise Guide to Semigroups and Evolution Equations. World Scientific.
11. KATO, T. (1966) Perturbation Theory for Linear Operators. Springer-Verlag.
12. MCBRIDE, A. C. (1987) Semigroups of Linear Operators: An Introduction. Longman.
13. PAZY, A. (1983) Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag.
14. DUDERSTADT, J. J. & MARTIN, W. R. (1979) Transport Theory. Wiley-Interscience.
15. GREENBERG, W. et al. (1987) Boundary Value Problems in Abstract Kinetic Theory. Birkhauser.