메뉴 건너뛰기




Volumn 60, Issue 4, 2000, Pages 1447-1470

Homogenization of transport equations

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; TRANSPORT PROPERTIES;

EID: 0033721064     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139997332087     Document Type: Article
Times cited : (48)

References (36)
  • 1
    • 0031281089 scopus 로고    scopus 로고
    • Homogénéisation d'une équation spectrale du transport neutronique
    • G. ALLAIRE AND G. BAL, Homogénéisation d'une équation spectrale du transport neutronique, C. R. Acad. Sci. Paris Sér. I Math., 325 (1997), pp. 1043-1048.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.325 , pp. 1043-1048
    • Allaire, G.1    Bal, G.2
  • 2
    • 0031116601 scopus 로고    scopus 로고
    • Analyse asymptotique spectrale d'un problème de diffusion neutronique
    • G. ALLAIRE AND F. MALIGE, Analyse asymptotique spectrale d'un problème de diffusion neutronique, C. R. Acad. Sci. Paris Sér. I Math., 324 (1997), pp. 939-944.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , pp. 939-944
    • Allaire, G.1    Malige, F.2
  • 5
    • 0030648501 scopus 로고    scopus 로고
    • Diffusion approximation for billiards with totally accommodating scatterers
    • C. BARDOS, F. GOLSE, AND L. DUMAS, Diffusion approximation for billiards with totally accommodating scatterers, J. Statist. Phys., 86 (1997), pp. 351-375.
    • (1997) J. Statist. Phys. , vol.86 , pp. 351-375
    • Bardos, C.1    Golse, F.2    Dumas, L.3
  • 6
    • 84967735805 scopus 로고
    • Diffusion approximation and computation of the critical size for a transport operator
    • C. BARDOS, R. SANTOS, AND R. SENTIS, Diffusion approximation and computation of the critical size for a transport operator, Trans. Amer. Math. Soc., 284 (1984), pp. 617-649.
    • (1984) Trans. Amer. Math. Soc. , vol.284 , pp. 617-649
    • Bardos, C.1    Santos, R.2    Sentis, R.3
  • 9
    • 0032326766 scopus 로고    scopus 로고
    • On the distribution of ther free path lengths for the periodic Lorentz gas
    • J. BOURGAIN, F. GOLSE, AND B. WENNBERG. On the distribution of ther free path lengths for the periodic Lorentz gas, Comm. Math. Phys., 190 (1998), pp. 491-508.
    • (1998) Comm. Math. Phys. , vol.190 , pp. 491-508
    • Bourgain, J.1    Golse, F.2    Wennberg, B.3
  • 10
    • 11744373241 scopus 로고
    • Statistical properties of the Lorentz gas with periodic configuration of scatterers
    • L. BUNIMOVICH AND YA. SINAI, Statistical properties of the Lorentz gas with periodic configuration of scatterers, Comm. Math. Phys., 78 (1981), pp. 479-497.
    • (1981) Comm. Math. Phys. , vol.78 , pp. 479-497
    • Bunimovich, L.1    Sinai, Ya.2
  • 11
    • 84956084246 scopus 로고
    • Statistical properties of two dimensional hyperbolic billiards
    • L. BUNIMOVICH, YA. SINAI, AND N. CHERNOV, Statistical properties of two dimensional hyperbolic billiards, Russian Math. Surveys, 46 (1991), pp. 47-106.
    • (1991) Russian Math. Surveys , vol.46 , pp. 47-106
    • Bunimovich, L.1    Sinai, Y.A.2    Chernov, N.3
  • 13
    • 0002306354 scopus 로고
    • Ordinary differential equations, transport theory and Sobolev spaces
    • R. DIPERNA AND P.-L. LIONS, Ordinary Differential Equations, Transport Theory and Sobolev Spaces, Invent. Math., 98 (1989), pp. 511-548.
    • (1989) Invent. Math. , vol.98 , pp. 511-548
    • Diperna, R.1    Lions, P.-L.2
  • 15
    • 0030553482 scopus 로고    scopus 로고
    • On the mean free path for a periodic array of spherical obstacles
    • H.S. DUMAS, L. DUMAS, AND F. GOLSE, On the mean free path for a periodic array of spherical obstacles, J. Statist. Phys., 82 (1996), pp. 1385-1407.
    • (1996) J. Statist. Phys. , vol.82 , pp. 1385-1407
    • Dumas, H.S.1    Dumas, L.2    Golse, F.3
  • 17
    • 0039327133 scopus 로고
    • Multiphase averaging for generalized flows on manifolds
    • H.S. DUMAS, F. GOLSE, AND P. LOCHAK, Multiphase averaging for generalized flows on manifolds, Ergodic Theory Dynam. Systems, 14 (1994), pp. 53-67.
    • (1994) Ergodic Theory Dynam. Systems , vol.14 , pp. 53-67
    • Dumas, H.S.1    Golse, F.2    Lochak, P.3
  • 19
    • 0000379759 scopus 로고
    • Remarques sur l'homogénéisation des équations de transport
    • F. GOLSE, Remarques sur l'homogénéisation des équations de transport, C. R. Acad. Sci. Paris Sér. Math., 305 (1987), pp. 801-804.
    • (1987) C. R. Acad. Sci. Paris Sér. Math. , vol.305 , pp. 801-804
    • Golse, F.1
  • 20
    • 0005159445 scopus 로고
    • Particle transport in nonhomogeneous Media
    • Mathematical Aspects of Fluid and Plasma Dynamics, G. Toscani, V. Boffi, and S. Rionero, eds., Springer-Verlag, Berlin, New York
    • F. GOLSE, Particle Transport in Nonhomogeneous Media, in Mathematical Aspects of Fluid and Plasma Dynamics, G. Toscani, V. Boffi, and S. Rionero, eds., Lecture Notes in Math 1460, Springer-Verlag, Berlin, New York, 1991, pp. 152-169.
    • (1991) Lecture Notes in Math , vol.1460 , pp. 152-169
    • Golse, F.1
  • 21
    • 0343415223 scopus 로고
    • Moyennisation des champs de vecteurs et EDP
    • École Polytechnique, Paliseau
    • F. GOLSE, Moyennisation des champs de vecteurs et EDP, Journées E.D.P. de St Jean de Monts, École Polytechnique, Paliseau, 1990.
    • (1990) Journées E.D.P. de St Jean de Monts
    • Golse, F.1
  • 22
    • 0343851209 scopus 로고
    • Perturbations de systèmes dynamiques et moyennisation en vitesse des EDP
    • F. GOLSE, Perturbations de systèmes dynamiques et moyennisation en vitesse des EDP, C.R. Acad. Sci. Paris Sér. Math., 314 (1992), pp. 115-120.
    • (1992) C.R. Acad. Sci. Paris Sér. Math. , vol.314 , pp. 115-120
    • Golse, F.1
  • 23
    • 0040642455 scopus 로고
    • Transport dans les milieux composites fortement contrastés: Le modèle du billard
    • F. GOLSE, Transport dans les milieux composites fortement contrastés: le modèle du billard, Ann. Inst. H. Poincaré Phys. Théor., 61 (1994), pp. 381-410.
    • (1994) Ann. Inst. H. Poincaré Phys. Théor. , vol.61 , pp. 381-410
    • Golse, F.1
  • 24
    • 45549114712 scopus 로고
    • Regularity of the moments of the solution of a transport equation
    • F. GOLSE, P.-L. LIONS, B. PERTHAME, AND R. SENTIS, Regularity of the moments of the solution of a transport equation, J. Funct. Anal., 76 (1988), pp. 434-460.
    • (1988) J. Funct. Anal. , vol.76 , pp. 434-460
    • Golse, F.1    Lions, P.-L.2    Perthame, B.3    Sentis, R.4
  • 26
    • 0001535747 scopus 로고
    • Renewal theory for transport processes in binary statistical mixtures
    • C.D. LEVERMORE, G. POMRANING, AND J. WONG, Renewal theory for transport processes in binary statistical mixtures, J. Math. Phys., 29 (1989), pp. 995-1004.
    • (1989) J. Math. Phys. , vol.29 , pp. 995-1004
    • Levermore, C.D.1    Pomraning, G.2    Wong, J.3
  • 27
    • 0003223909 scopus 로고
    • Multiphase averaging for classical systems
    • Springer-Verlag, New York
    • P. LOCHAK AND C. MEUNIER, Multiphase Averaging for Classical Systems, Appl. Math. Sci., 72, Springer-Verlag, New York, 1987.
    • (1987) Appl. Math. Sci. , vol.72
    • Lochak, P.1    Meunier, C.2
  • 28
    • 0002615068 scopus 로고    scopus 로고
    • H-Convergence
    • Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R. Kohn, eds., Birkhäuser, Boston
    • F. MURAT, H-Convergence, in Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R. Kohn, eds., Progr. Nonlinear Differential Equations Appl., 31, Birkhäuser, Boston, 1997.
    • (1997) Progr. Nonlinear Differential Equations Appl. , vol.31
    • Murat, F.1
  • 32
    • 0009908534 scopus 로고
    • Approximation and homogenization of a transport process
    • R. SENTIS, Approximation and homogenization of a transport process, SIAM J. Appl. Math., 39 (1980), pp. 134-141.
    • (1980) SIAM J. Appl. Math. , vol.39 , pp. 134-141
    • Sentis, R.1
  • 33
    • 0000440966 scopus 로고
    • Compensated compactness and applications to PDEs
    • Nonlinear Analysis and Mechanics IV, R.J. Knops, ed., Longman, Harlow, UK
    • L. TARTAR, Compensated compactness and applications to PDEs, in Nonlinear Analysis and Mechanics IV, R.J. Knops, ed., Pitman Res. Notes Math. Ser. 39, Longman, Harlow, UK, 1979, pp. 136-212.
    • (1979) Pitman Res. Notes Math. Ser. , vol.39 , pp. 136-212
    • Tartar, L.1
  • 34
    • 0001357333 scopus 로고
    • Estimations fines de coefficients homogénéisés
    • Ennio de Giorgi Colloquium, P. Kree, ed., Pitman, Boston, MA, London
    • L. TARTAR, Estimations fines de coefficients homogénéisés, in Ennio de Giorgi Colloquium, P. Kree, ed., Res. Notes in Math. 125, Pitman, Boston, MA, London, 1985, pp. 168-187.
    • (1985) Res. Notes in Math. , vol.125 , pp. 168-187
    • Tartar, L.1
  • 35
    • 84974050752 scopus 로고
    • H-measures: A new approach for studying homogenization, oscillations and concentration effects in partial differential equations
    • L. TARTAR, H-measures: A new approach for studying homogenization, oscillations and concentration effects in partial differential equations, Proc. Roy. Soc. Edinburgh Sect. A, 115 (1990), pp. 193-230.
    • (1990) Proc. Roy. Soc. Edinburgh Sect. A , vol.115 , pp. 193-230
    • Tartar, L.1
  • 36
    • 0001769291 scopus 로고
    • Radiative transfer in statistically inhomogeneous mixtures
    • D. VANDERHAEGEN, Radiative transfer in statistically inhomogeneous mixtures, J. Quant. Spectrosc. Radiative Transfer, 36 (1986), pp. 557-558.
    • (1986) J. Quant. Spectrosc. Radiative Transfer , vol.36 , pp. 557-558
    • Vanderhaegen, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.