Displaying similar documents to “Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food”

Similarity stabilizes blow-up

Steve Schochet (1999)

Journées équations aux dérivées partielles

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The blow-up of solutions to a quasilinear heat equation is studied using a similarity transformation that turns the equation into a nonlocal equation whose steady solutions are stable. This allows energy methods to be used, instead of the comparison principles used previously. Among the questions discussed are the time and location of blow-up of perturbations of the steady blow-up profile.

Initial boundary value problems of the Degasperis-Procesi equation

Joachim Escher, Zhaoyang Yin (2008)

Banach Center Publications

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We mainly study initial boundary value problems for the Degasperis-Procesi equation on the half line and on a compact interval. By the symmetry of the equation, we can convert these boundary value problems into Cauchy problems on the line and on the circle, respectively. Applying thus known results for the equation on the line and on the circle, we first obtain the local well-posedness of the initial boundary value problems. Then we present some blow-up and global existence results for...