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Volumn 16, Issue 6, 2003, Pages 2083-2097

Singular and regular solutions of a nonlinear parabolic system

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EID: 0242427432     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/16/6/313     Document Type: Article
Times cited : (37)

References (15)
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    • Budd, C.J.1    Qi, Y.-W.2
  • 3
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    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • Caffarelli L, Kohn R V and Nirenberg L 1982 Partial regularity of suitable weak solutions of the Navier-Stokes equations Commun. Pure Appl. Math. 35 771-831
    • (1982) Commun. Pure Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.V.2    Nirenberg, L.3
  • 4
    • 0347998526 scopus 로고    scopus 로고
    • The Euler equations and nonlocal conservative Riccati equations
    • Constantin P 2000 The Euler equations and nonlocal conservative Riccati equations Int. Math. Res. Notices 9 455-65
    • (2000) Int. Math. Res. Notices , vol.9 , pp. 455-465
    • Constantin, P.1
  • 5
    • 84990616610 scopus 로고
    • Asymptotically self-similar blow-up of semilinear heat equations
    • Giga Y and Kohn R V 1985 Asymptotically self-similar blow-up of semilinear heat equations Commun. Pure Appl. Math. 38 297-319
    • (1985) Commun. Pure Appl. Math. , vol.38 , pp. 297-319
    • Giga, Y.1    Kohn, R.V.2
  • 7
    • 0035915867 scopus 로고    scopus 로고
    • Further study on a nonlinear heat equation
    • Special issue in celebration of Jack K Hale's 70th birthday, Part 4 (Atlanta, GA/Lisbon, 1998)
    • Gui C, Ni W-M and Wang X 2001 Further study on a nonlinear heat equation J. Diff. Eqns 169 588-613 (Special issue in celebration of Jack K Hale's 70th birthday, Part 4 (Atlanta, GA/Lisbon, 1998))
    • (2001) J. Diff. Eqns , vol.169 , pp. 588-613
    • Gui, C.1    Ni, W.-M.2    Wang, X.3
  • 9
    • 0012859161 scopus 로고
    • Self-similar solutions of a semilinear heat equation
    • Lepin L A 1990 Self-similar solutions of a semilinear heat equation Math. Model. 2 63-74
    • (1990) Math. Model. , vol.2 , pp. 63-74
    • Lepin, L.A.1
  • 10
    • 0242436627 scopus 로고
    • Spectra of eigenfunctions for a semilinear heat equation
    • Lepin L A 1990 Spectra of eigenfunctions for a semilinear heat equation Dokl. Akad. Nauk SSSR 311 1049-51
    • (1990) Dokl. Akad. Nauk SSSR , vol.311 , pp. 1049-1051
    • Lepin, L.A.1
  • 11
    • 0034532989 scopus 로고    scopus 로고
    • Numerical study of singularity formation in a class of Euler and Navier-Stokes flows
    • Ohkitani K and Gibbon J D 2000 Numerical study of singularity formation in a class of Euler and Navier-Stokes flows Phys. Fluids 12 3181-94
    • (2000) Phys. Fluids , vol.12 , pp. 3181-3194
    • Ohkitani, K.1    Gibbon, J.D.2
  • 12
    • 84972517978 scopus 로고
    • Partial regularity of solutions to the Navier-Stokes equations
    • Scheffer V 1976 Partial regularity of solutions to the Navier-Stokes equations Pacific J. Math. 66 535-52
    • (1976) Pacific J. Math. , vol.66 , pp. 535-552
    • Scheffer, V.1
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    • The Lagrangian picture of fluid motion and its implication for flow structures
    • The Brooke Benjamin special issue (University Park, PA, 1989)
    • Stuart J T 1991 The Lagrangian picture of fluid motion and its implication for flow structures IMA J. Appl. Math. 46 147-63 (The Brooke Benjamin special issue (University Park, PA, 1989))
    • (1991) IMA J. Appl. Math. , vol.46 , pp. 147-163
    • Stuart, J.T.1
  • 15
    • 0013061261 scopus 로고
    • The existence of bounded solutions of a semilinear heat equation
    • Troy W C 1987 The existence of bounded solutions of a semilinear heat equation SIAM J. Math. Anal. 18 332-6
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    • Troy, W.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.