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Volumn 30, Issue 2, 1997, Pages 895-903

Critical speed to avoid blow-up in diffusive medium

Author keywords

Blow up solutions; Integral equations; Reaction diffusion phenomena

Indexed keywords


EID: 0041545007     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00354-4     Document Type: Article
Times cited : (2)

References (11)
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  • 4
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    • Blow-up rates for parabolic systems
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    • (1996) Z. Angew Math. Phys. , vol.47 , pp. 132-143
    • Deng, K.1
  • 5
    • 0041616142 scopus 로고
    • The blow-up rate for the heat equation with a nonlinear boundary condition
    • FILA M. & QUITTNER P., "The Blow-up Rate for the Heat Equation with a Nonlinear Boundary Condition," Math. Methods Appl. Sci. 16, 132-143 (1991).
    • (1991) Math. Methods Appl. Sci. , vol.16 , pp. 132-143
    • Fila, M.1    Quittner, P.2
  • 6
    • 0020927931 scopus 로고
    • Mathematical analysis of thermal runaway for spatially inhomogeneous reactions
    • LACEY A., "Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions," SIAM J. Appl. Math. 43, 1350-1366 (1983).
    • (1983) SIAM J. Appl. Math. , vol.43 , pp. 1350-1366
    • Lacey, A.1
  • 7
    • 0025442951 scopus 로고
    • The role of critical exponents in blow-up theorems
    • LEVINE H. A., "The Role of Critical Exponents in Blow-up Theorems," SIAM Rev. 32, 262-288 (1990).
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 8
    • 0001324528 scopus 로고
    • Explosion in a diffusive strip due to a concentrated nonlinear source
    • OLMSTEAD W. E & ROBERTS C. A., "Explosion in a Diffusive Strip due to a Concentrated Nonlinear Source," Methods Appl. Anal. 1, 434-445 (1994).
    • (1994) Methods Appl. Anal. , vol.1 , pp. 434-445
    • Olmstead, W.E.1    Roberts, C.A.2
  • 9
    • 0001018822 scopus 로고
    • Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary problems of parabolic type
    • PAO C. V., "Asymptotic Behavior and Nonexistence of Global Solutions for a Class of Nonlinear Boundary Problems of Parabolic Type," J. Math. Anal. Appl. 65, 616-637 (1978).
    • (1978) J. Math. Anal. Appl. , vol.65 , pp. 616-637
    • Pao, C.V.1
  • 10
    • 0001074918 scopus 로고    scopus 로고
    • Growth rates for blow-up solutions of nonlinear volterra equations
    • ROBERTS C. A. & OLMSTEAD W. E., "Growth Rates for Blow-up Solutions of Nonlinear Volterra Equations," Quart. Appl. Math. 54, 153-160 (1996).
    • (1996) Quart. Appl. Math. , vol.54 , pp. 153-160
    • Roberts, C.A.1    Olmstead, W.E.2
  • 11
    • 0001591638 scopus 로고
    • Volterra equations which model explosion in a diffusive medium
    • ROBERTS C. A., LASSEIGNE D. G. & OLMSTEAD W. E., "Volterra Equations which Model Explosion in a Diffusive Medium," J. Integral Eqn. Appl. 5, 531-546 (1993).
    • (1993) J. Integral Eqn. Appl. , vol.5 , pp. 531-546
    • Roberts, C.A.1    Lasseigne, D.G.2    Olmstead, W.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.