메뉴 건너뛰기




Volumn 82, Issue 1, 1999, Pages 23-52

A comparison of homogenization and large deviations, with applications to wavefront propagation

Author keywords

35B40; 35K57; 60F10; Homogenization; Huygen's principle; KPP equations; Large deviations; Minkowski geometry; Primary 35B27; Reaction diffusion equations; Secondary 35K40; Wavefront propagation

Indexed keywords


EID: 0042636802     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(99)00003-4     Document Type: Article
Times cited : (63)

References (29)
  • 1
    • 0042894343 scopus 로고
    • Large deviations for diffusion processes with homogenization and applications
    • Baldi P. Large deviations for diffusion processes with homogenization and applications. Ann. Probab. 19:1991;509-524.
    • (1991) Ann. Probab. , vol.19 , pp. 509-524
    • Baldi, P.1
  • 2
    • 0000297619 scopus 로고
    • Large deviations and stochastic flows of diffeomorphisms
    • Baxendale P.H., Stroock D.W. Large deviations and stochastic flows of diffeomorphisms. Probab. Theory Related Fields. 80:1988;169-215.
    • (1988) Probab. Theory Related Fields , vol.80 , pp. 169-215
    • Baxendale, P.H.1    Stroock, D.W.2
  • 6
    • 0040306511 scopus 로고
    • On the Dirichlet problem for a class of second order PDE systems with small parameter
    • Eizenberg A., Freidlin M. On the Dirichlet problem for a class of second order PDE systems with small parameter. Stochastics Stochastics Rep. 33:1990;111-148.
    • (1990) Stochastics Stochastics Rep. , vol.33 , pp. 111-148
    • Eizenberg, A.1    Freidlin, M.2
  • 7
    • 0002334734 scopus 로고
    • Large deviations for a general class of random vectors
    • Ellis R.S. Large deviations for a general class of random vectors. Ann. Probab. 12:1984;1-12.
    • (1984) Ann. Probab. , vol.12 , pp. 1-12
    • Ellis, R.S.1
  • 8
    • 0028416333 scopus 로고
    • Convection enhanced diffusion for periodic flows
    • Fannjiang A., Papanicolaou G. Convection enhanced diffusion for periodic flows. SIAM J. Appl. Math. 54:1994;333-408.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 333-408
    • Fannjiang, A.1    Papanicolaou, G.2
  • 9
    • 4043166736 scopus 로고
    • On wave propagation in periodic media
    • In: Pinsky, M.A. (Ed.), Marcel Dekker, New York
    • Freidlin, M.I., 1984. On wave propagation in periodic media. In: Pinsky, M.A. (Ed.), Stochastic Analysis and Applications. Marcel Dekker, New York.
    • (1984) Stochastic Analysis and Applications
    • Freidlin, M.I.1
  • 11
    • 0040185425 scopus 로고
    • Semi-linear PDE's and limit theorems for large deviations
    • In: Hennequin, P.L. (Ed.), Ecole d'Eté de Probabilitieś de Saint Flour XX-1990. Springer, New York
    • Freidlin, M.I., 1992. Semi-linear PDE's and limit theorems for large deviations. In: Hennequin, P.L. (Ed.), Ecole d'Eté de Probabilitieś de Saint Flour XX-1990. Lecture Notes in Mathematics, vol. 1527. Springer, New York.
    • (1992) Lecture Notes in Mathematics , vol.1527
    • Freidlin, M.I.1
  • 12
    • 0006322696 scopus 로고    scopus 로고
    • Wave front propagation and large deviations for diffusion-transmutation processes
    • Freidlin M.I., Lee T.-Y. Wave front propagation and large deviations for diffusion-transmutation processes. Probab. Theory Related Fields. 106:1996;39-70.
    • (1996) Probab. Theory Related Fields , vol.106 , pp. 39-70
    • Freidlin, M.I.1    Lee, T.-Y.2
  • 14
    • 0002019542 scopus 로고
    • On large deviations from the invariant measure
    • Gärtner J. On large deviations from the invariant measure. Theory Probab. Appl. 22:1977;24-39.
    • (1977) Theory Probab. Appl. , vol.22 , pp. 24-39
    • Gärtner, J.1
  • 15
    • 0042894339 scopus 로고
    • On the propagation of concentration waves in periodic and random media
    • in Russian
    • Gärtner, J., Freidlin, M.I., 1979. On the propagation of concentration waves in periodic and random media. Dokl. Acad. Nauk SSSR 249, 521-525 (in Russian).
    • (1979) Dokl. Acad. Nauk SSSR , vol.249 , pp. 521-525
    • Gärtner, J.1    Freidlin, M.I.2
  • 18
    • 0002722044 scopus 로고
    • Étude de l'équation de la diffusion avec croissance de la matiére et son application a un probléme biologique
    • Kolmogorov A., Petrovskii I., Piskunov N. Étude de l'équation de la diffusion avec croissance de la matiére et son application a un probléme biologique. Moscow Univ. Bull. Math. 1:1937;1-25.
    • (1937) Moscow Univ. Bull. Math , vol.1 , pp. 1-25
    • Kolmogorov, A.1    Petrovskii, I.2    Piskunov, N.3
  • 19
    • 0012329383 scopus 로고
    • Averaging on a background of vanishing viscosity
    • Kozlov S.M., Pyatnitskii A.L. Averaging on a background of vanishing viscosity. Math. USSR Sbornik. 70:1991;241-261.
    • (1991) Math. USSR Sbornik , vol.70 , pp. 241-261
    • Kozlov, S.M.1    Pyatnitskii, A.L.2
  • 21
    • 21444455653 scopus 로고
    • Large deviations for solutions of stochastic equations
    • Makhno S. Large deviations for solutions of stochastic equations. Theory Probab. Appl. 40:1995;660-678.
    • (1995) Theory Probab. Appl. , vol.40 , pp. 660-678
    • Makhno, S.1
  • 22
    • 0002558785 scopus 로고
    • Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
    • Majda A., Souganidis P. Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Nonlinearity. 7:1994;1-30.
    • (1994) Nonlinearity , vol.7 , pp. 1-30
    • Majda, A.1    Souganidis, P.2
  • 23
    • 0040454442 scopus 로고
    • Heat kernel bounds and homogenization of elliptic operators
    • Norris J.R. Heat kernel bounds and homogenization of elliptic operators. Bull. London Math. Soc. 26:1994;75-87.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 75-87
    • Norris, J.R.1
  • 24
    • 0031261349 scopus 로고    scopus 로고
    • Long time behaviour of heat flow: Global estimates and exact asymptotics
    • Norris J.R. Long time behaviour of heat flow: global estimates and exact asymptotics. Arch. Rat. Mech. Anal. 140:1997;161-195.
    • (1997) Arch. Rat. Mech. Anal. , vol.140 , pp. 161-195
    • Norris, J.R.1
  • 25
    • 0000842034 scopus 로고
    • Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients
    • Norris J., Stroock D.W. Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients. Proc. London Math. Soc. 62:1991;373-402.
    • (1991) Proc. London Math. Soc. , vol.62 , pp. 373-402
    • Norris, J.1    Stroock, D.W.2
  • 26
    • 0008827176 scopus 로고
    • Reaction-diffusion fronts in periodically layered media
    • Papanicolaou G., Xin X. Reaction-diffusion fronts in periodically layered media. J. Statist. Phys. 63:1991;915-931.
    • (1991) J. Statist. Phys. , vol.63 , pp. 915-931
    • Papanicolaou, G.1    Xin, X.2
  • 28
    • 0001835257 scopus 로고
    • Large deviations for a reaction-diffusion equation with non-Gaussian perturbations
    • Sowers R. Large deviations for a reaction-diffusion equation with non-Gaussian perturbations. Ann. Probab. 20:1992;504-537.
    • (1992) Ann. Probab. , vol.20 , pp. 504-537
    • Sowers, R.1
  • 29
    • 21844522665 scopus 로고
    • Existence of multidimensional travelling waves in the transport of reactive solutes through periodic porous media
    • Xin J.X. Existence of multidimensional travelling waves in the transport of reactive solutes through periodic porous media. Arch. Rat. Mech. Anal. 128:1995;74-103.
    • (1995) Arch. Rat. Mech. Anal. , vol.128 , pp. 74-103
    • Xin, J.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.