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Volumn 8, Issue 2, 2008, Pages 307-326

Far field asymptotics of solutions to convection equation with anomalous diffusion

Author keywords

Anomalous diffusion; Asymptotic profiles; Conservation laws; Decay estimates; Fractal Burgers equation; Self similar solutions

Indexed keywords


EID: 44549087791     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-008-0356-9     Document Type: Article
Times cited : (49)

References (11)
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    • BILER, P.1    KARCH, G.2    WOYCZYŃSKI, W.A.3
  • 4
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    • Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
    • BOGDAN, K. and JAKUBOWSKI, T., Estimates of heat kernel of fractional Laplacian perturbed by gradient operators, Comm. Math. Phys. 271 (2007), 179-198.
    • (2007) Comm. Math. Phys , vol.271 , pp. 179-198
    • BOGDAN, K.1    JAKUBOWSKI, T.2
  • 5
    • 0141648426 scopus 로고    scopus 로고
    • Global solution and smoothing effect for a non-local regularization of a hyperbolic equation
    • DRONIOU, J., GALLOUËT, T. and VOVELLE, J., Global solution and smoothing effect for a non-local regularization of a hyperbolic equation, J. Evol. Eq. 3 (2002), 499-521.
    • (2002) J. Evol. Eq , vol.3 , pp. 499-521
    • DRONIOU, J.1    GALLOUËT, T.2    VOVELLE, J.3
  • 6
    • 33747469213 scopus 로고    scopus 로고
    • Fractal first order partial differential equations
    • DRONIOU, J. and IMBERT, C., Fractal first order partial differential equations, Arch. Rat. Mech. Anal. 182 (2006), 299-331.
    • (2006) Arch. Rat. Mech. Anal , vol.182 , pp. 299-331
    • DRONIOU, J.1    IMBERT, C.2
  • 9
    • 21244458908 scopus 로고    scopus 로고
    • A probabilistic approach for nonlinear equations involving the fractional Laplacian and singular operator
    • JOURDAIN, B., MÉLÉARD, S. and WOYCZYŃSKI, W., A probabilistic approach for nonlinear equations involving the fractional Laplacian and singular operator, Potential Analysis 23 (2005), 55-81.
    • (2005) Potential Analysis , vol.23 , pp. 55-81
    • JOURDAIN, B.1    MÉLÉARD, S.2    WOYCZYŃSKI, W.3
  • 10
    • 0010003910 scopus 로고    scopus 로고
    • Symmetric stable laws and stable-like jump-diffusions
    • KOLOKOLTSOV, V. Symmetric stable laws and stable-like jump-diffusions, Proc. London Math. Soc. 80 (2000), 725-768.
    • (2000) Proc. London Math. Soc , vol.80 , pp. 725-768
    • KOLOKOLTSOV, V.1
  • 11
    • 0002641421 scopus 로고    scopus 로고
    • The random walks guide to anomalous diffusion: A fractional dynamics approach
    • METZLER, R. and KLAFTER, J., The random walks guide to anomalous diffusion: A fractional dynamics approach, Phys. Rep. 339 (2000), 1-77.
    • (2000) Phys. Rep , vol.339 , pp. 1-77
    • METZLER, R.1    KLAFTER, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.