Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities

@article{Souplet2015SinglepointBF,
  title={Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities},
  author={Philippe Souplet and Slim Tayachi},
  journal={arXiv: Analysis of PDEs},
  year={2015}
}
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8 Citations

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In this paper, we consider positive solutions of the system ut −Δu = ur vp, vt −Δv = uq vs t ∈ (0, T ) , x ∈ B(0, R) = {x ∈ Rn | |x| < R} or x ∈ Rn and p, q, r, s > 1 . We prove single-point blow-up…
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