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Volumn 28, Issue 5, 1999, Pages 475-498

Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results

Author keywords

Diffusion approximation; Inelastic scattering; Kinetic theory; Lorentz gas

Indexed keywords


EID: 0033242507     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459908205854     Document Type: Article
Times cited : (4)

References (15)
  • 3
    • 0004053974 scopus 로고
    • Singularly perturbed evolution equations with applications to kinetic theory
    • World Scientific, Singapore
    • J. Mika and J. Banasiak, Singularly perturbed evolution equations with applications to kinetic theory, Series on Advances in Mathematics for Applied Sciences, vol. 34, World Scientific, Singapore, 1995.
    • (1995) Series on Advances in Mathematics for Applied Sciences , vol.34
    • Mika, J.1    Banasiak, J.2
  • 4
    • 0032388376 scopus 로고    scopus 로고
    • Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory
    • J. Banasiak, G. Frosali and G. Spiga, Asymptotic Analysis for a Particle Transport Equation with Inelastic Scattering in Extended Kinetic Theory, Math. Mod. Meth. Appl. Sci. 8 (5) (1998), 851-874.
    • (1998) Math. Mod. Meth. Appl. Sci. , vol.8 , Issue.5 , pp. 851-874
    • Banasiak, J.1    Frosali, G.2    Spiga, G.3
  • 5
    • 0032137079 scopus 로고    scopus 로고
    • On a model transport equation with inelastic scattering
    • A. V. Bobylev and G. Spiga, On a Model Transport Equation with Inelastic Scattering, SIAM Journal of Applied Mathematics, 58 (1998), 1128-1137.
    • (1998) SIAM Journal of Applied Mathematics , vol.58 , pp. 1128-1137
    • Bobylev, A.V.1    Spiga, G.2
  • 7
    • 85033953277 scopus 로고    scopus 로고
    • Mathematical properties of inelastic scattering models in linear kinetic theory
    • to appear
    • J. Banasiak, Mathematical Properties of Inelastic Scattering Models in Linear Kinetic Theory, Mathematical Methods and Models in Applied Sciences, to appear.
    • Mathematical Methods and Models in Applied Sciences
    • Banasiak, J.1
  • 8
    • 0009308299 scopus 로고    scopus 로고
    • Diffusion approximations of the Boltzmann equation: Comparison results for linear model problems
    • L. Demeio, G. Frosali, Diffusion Approximations of the Boltzmann equation: Comparison Results for Linear Model Problems, Atti Sem. Mat. Fis. Univ. Modena, Suppl. Vol. XLVI (1998) 653-675.
    • (1998) Atti Sem. Mat. Fis. Univ. Modena , vol.46 , Issue.SUPPL. , pp. 653-675
    • Demeio, L.1    Frosali, G.2
  • 9
    • 21344478186 scopus 로고
    • Boltzmann equation for inelastic scattering
    • C. R. Garibotti and G. Spiga, Boltzmann Equation for Inelastic Scattering, J. Phys. A: Math. Gen. 27 (1994) 2709-2717.
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 2709-2717
    • Garibotti, C.R.1    Spiga, G.2
  • 10
    • 0032368895 scopus 로고    scopus 로고
    • Kinetic theory with inelastic interactions
    • A. Rossani and G. Spiga, Kinetic Theory with Inelastic Interactions, Transport Theory Stat. Phys. 27 ,3-4 (1998) 273-287.
    • (1998) Transport Theory Stat. Phys. , vol.27 , Issue.3-4 , pp. 273-287
    • Rossani, A.1    Spiga, G.2
  • 11
    • 0009357399 scopus 로고
    • North Holland Publishing Company, Amsterdam
    • A. Messiah, Quantum Mechanics, vol. II, p. 867-868, North Holland Publishing Company, Amsterdam 1970.
    • (1970) Quantum Mechanics , vol.2 , pp. 867-868
    • Messiah, A.1
  • 15
    • 84974751443 scopus 로고
    • On the diffusion approximation of a transport process without time scaling
    • E. Ringeisen, R. Sentis, On the diffusion approximation of a transport process without time scaling, Asymptotic Analysis, 5 (1991), 145-159.
    • (1991) Asymptotic Analysis , vol.5 , pp. 145-159
    • Ringeisen, E.1    Sentis, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.