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On the blow-up behavior of a nonlinear parabolic equation with periodic boundary conditions

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Abstract

Using ideas arising in the works of LeJan and Sznitman and Mattingly and Sinai on their study of the Navier–Stokes equations, we investigate the blow-up behavior of a nonlinear parabolic equation subject to periodic boundary conditions.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de los Andes, Bogotá DC, Colombia

    Jean C. Cortissoz

  2. Instituto Colombiano de Ciencias, Rincón del Mar, Sucre, Colombia

    Jean C. Cortissoz

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  1. Jean C. Cortissoz
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Correspondence to Jean C. Cortissoz.

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Cortissoz, J.C. On the blow-up behavior of a nonlinear parabolic equation with periodic boundary conditions. Arch. Math. 97, 69–78 (2011). https://doi.org/10.1007/s00013-011-0266-x

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  • DOI: https://doi.org/10.1007/s00013-011-0266-x

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