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Volumn 3, Issue 1, 2003, Pages 137-151

The focusing problem for the Eikonal equation

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EID: 0141461785     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000280300006     Document Type: Conference Paper
Times cited : (6)

References (18)
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  • 2
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    • Non-axial self-similar hole filling for the porous medium equation
    • ANGENENT, S. B. and ARONSON, D. G., Non-axial self-similar hole filling for the porous medium equation, J.A.M.S. 14 (2001), 737-782.
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  • 3
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    • Focusing of an elongated hole in porous medium flow
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    • (2001) Physica D , vol.151 , Issue.2-4 , pp. 228-252
    • Angenent, S.B.1    Aronson, D.G.2    Betelú, S.3    Lowengrub, J.S.4
  • 6
    • 0003319234 scopus 로고
    • Mathematical methods of classical mechanics
    • Springer-Verlag, New York
    • ARNOL'D, V. I., Mathematical Methods of Classical Mechanics, Graduate Texts in Mathematics, Springer-Verlag, New York, 60 1991.
    • (1991) Graduate Texts in Mathematics , vol.60
    • Arnol'd, V.I.1
  • 8
    • 0002293879 scopus 로고
    • The porous medium equation
    • Some Problems in Nonlinear Diffusion (A. Fasano and M. Primicerio editors), Springer, Berlin
    • ARONSON, D. G., The porous medium equation, in: Some Problems in Nonlinear Diffusion (A. Fasano and M. Primicerio editors), Lecture Notes on Math. 1224, Springer, Berlin 1986.
    • (1986) Lecture Notes on Math. , vol.1224
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  • 9
    • 0002674883 scopus 로고
    • A self-similar and solution to the focusing problem for the porous medium equation
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    • (1993) Euro. J. Appl. Math. , vol.4 , pp. 65-81
    • Aronson, D.G.1    Graveleau, J.2
  • 11
    • 0004276842 scopus 로고    scopus 로고
    • Renormalization study of two-dimensional convergent solutions of the porous medium equation
    • BETELÚ, S. I., ARONSON, D. G. and ANGENENT, S. B., Renormalization study of two-dimensional convergent solutions of the porous medium equation, Phys. D 138 (2000), no. 3-4, 344-359.
    • (2000) Phys. D , vol.138 , Issue.3-4 , pp. 344-359
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  • 12
    • 0011092346 scopus 로고
    • Reconstructions of singularities of minimum functions, and bifurcations of shock waves of the Burgers equation with vanishing viscosity
    • BOGAEVSKI, I. A., Reconstructions of singularities of minimum functions, and bifurcations of shock waves of the Burgers equation with vanishing viscosity, (Russian) Algebra i Analiz 4 (1989), 1, 1-16; translation in Leningrad Math. J. 4 (1990), 1, 807-823.
    • (1989) (Russian) Algebra i Analiz , vol.4 , pp. 1
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    • translation
    • BOGAEVSKI, I. A., Reconstructions of singularities of minimum functions, and bifurcations of shock waves of the Burgers equation with vanishing viscosity, (Russian) Algebra i Analiz 4 (1989), 1, 1-16; translation in Leningrad Math. J. 4 (1990), 1, 807-823.
    • (1990) Leningrad Math. J. , vol.4 , pp. 1
  • 15
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    • Singularities of viscosity solutions of Hamilton-Jacobi equations, Singularity theory and differential equations (Kyoto, 1999)
    • BOGAEVSKI, I. A., Singularities of viscosity solutions of Hamilton-Jacobi equations, Singularity theory and differential equations (Kyoto, 1999). Sūrikaisekikenkyūsho Kōkyūroku 1111 (1999), 138-143.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.