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Volumn 10, Issue 6, 1997, Pages 1497-1550

Reconnection of vortex with the boundary and finite time quenching

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EID: 0041163754     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/6/006     Document Type: Article
Times cited : (25)

References (25)
  • 1
    • 0000461055 scopus 로고
    • Remarks on blow-up and nonexistence theorems for nonlinear evolution equations
    • Ball J 1977 Remarks on blow-up and nonexistence theorems for nonlinear evolution equations Quart. J. Math. 28 473-86
    • (1977) Quart. J. Math. , vol.28 , pp. 473-486
    • Ball, J.1
  • 2
    • 84990610650 scopus 로고
    • A rescaling algorithm for the numerical calculation of blowing-up solutions
    • Berger M and Kohn R 1988 A rescaling algorithm for the numerical calculation of blowing-up solutions Commun. Pure Appl. Math. 41 841-63
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 841-863
    • Berger, M.1    Kohn, R.2
  • 4
    • 0000877190 scopus 로고
    • Universality in blow-up for nonlinear heat equations
    • Bricmont J and Kupiainen A 1994 Universality in blow-up for nonlinear heat equations Nonlinearity 7 539-75
    • (1994) Nonlinearity , vol.7 , pp. 539-575
    • Bricmont, J.1    Kupiainen, A.2
  • 8
    • 84990616610 scopus 로고
    • Asymptotically self-similar blowup of semilinear heat equations
    • Giga Y and Kohn R 1985 Asymptotically self-similar blowup 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.2
  • 9
    • 0000332576 scopus 로고
    • Characterizing blowup using similarity variables
    • Giga Y and Kohn R 1987 Characterizing blowup using similarity variables Indiana Univ. Math. J. 36 1-40
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 1-40
    • Giga, Y.1    Kohn, R.2
  • 10
    • 84990575181 scopus 로고
    • Nondegeneracy of blow-up for semilinear heat equations
    • Giga Y and Kohn R 1989 Nondegeneracy of blow-up for semilinear heat equations Commun. Pure Appl. Math. 42 845-84
    • (1989) Commun. Pure Appl. Math. , vol.42 , pp. 845-884
    • Giga, Y.1    Kohn, R.2
  • 12
    • 0040298247 scopus 로고
    • On the quenching behaviour of the solution of a semilinear parabolic equation
    • Guo J 1991 On the quenching behaviour of the solution of a semilinear parabolic equation J. Math. Anal. Appl. 117 803-9
    • (1991) J. Math. Anal. Appl. , vol.117 , pp. 803-809
    • Guo, J.1
  • 13
    • 0010876410 scopus 로고
    • On the quenching rate estimate
    • Guo J 1991 On the quenching rate estimate Quart. Appl. Math. 49 747-52
    • (1991) Quart. Appl. Math. , vol.49 , pp. 747-752
    • Guo, J.1
  • 14
    • 0039706351 scopus 로고
    • -β = 0 in ℝ″
    • -β = 0 in ℝ″ Chinese J. Math. 19 355-77
    • (1991) Chinese J. Math. , vol.19 , pp. 355-377
    • Guo, J.1
  • 15
    • 0000066418 scopus 로고
    • Blow-up profiles in one-dimensional semilinear parabolic problems
    • Herrero M A and Velazquez J J L 1992 Blow-up profiles in one-dimensional semilinear parabolic problems Com. PDE 17 205-19
    • (1992) Com. PDE , vol.17 , pp. 205-219
    • Herrero, M.A.1    Velazquez, J.J.L.2
  • 16
    • 84948486085 scopus 로고
    • Remarks on the large time behaviour of a nonlinear diffusion equation
    • Kavian O 1987 Remarks on the large time behaviour of a nonlinear diffusion equation Ann. Inst. H. Poincaré Analyse Nonlinéaire 4 423-52
    • (1987) Ann. Inst. H. Poincaré Analyse Nonlinéaire , vol.4 , pp. 423-452
    • Kavian, O.1
  • 17
    • 0040298250 scopus 로고
    • Straight forward asymptotics and numerci for blowing-up solutions to semilinear heat equations
    • Keller J B and Lowengrub J S 1992 Straight forward asymptotics and numerci for blowing-up solutions to semilinear heat equations Proc. NATO Sing. Conf.
    • (1992) Proc. NATO Sing. Conf.
    • Keller, J.B.1    Lowengrub, J.S.2
  • 19
    • 0000576069 scopus 로고
    • Quenching, nonquenching, and beyond quenching for solutions of some parabolic equations
    • Levine H A 1990 Quenching, nonquenching, and beyond quenching for solutions of some parabolic equations Annali Mat. Pure Appl. 155 243-60
    • (1990) Annali Mat. Pure Appl. , vol.155 , pp. 243-260
    • Levine, H.A.1
  • 21
    • 84990556280 scopus 로고
    • Solution of a nonlinear heat equation with arbitrary given blow-up points
    • Merle F 1992 Solution of a nonlinear heat equation with arbitrary given blow-up points Commun. Pure Appl. Math. 45 263-300
    • (1992) Commun. Pure Appl. Math. , vol.45 , pp. 263-300
    • Merle, F.1
  • 24
    • 84968503478 scopus 로고
    • Classification of singularities for blowing up solutions in higher dimensions
    • Velazquez J J L 1993 Classification of singularities for blowing up solutions in higher dimensions Trans. Am. Math. Soc. 338 441-64
    • (1993) Trans. Am. Math. Soc. , vol.338 , pp. 441-464
    • Velazquez, J.J.L.1
  • 25
    • 0040892346 scopus 로고    scopus 로고
    • Blow-up results for vector-valued nonlinear heat equations with no gradient structure
    • to appear
    • Zaag H Blow-up results for vector-valued nonlinear heat equations with no gradient structure Ann. Inst. H. Poincaré Anal. Nonlinéaire to appear
    • Ann. Inst. H. Poincaré Anal. Nonlinéaire
    • Zaag, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.