On blow-up at space infinity for semilinear heat equations
Giga, Y., Umeda, N.
Similarity:
Displaying similar documents to “The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation”
On blow-up at space infinity for semilinear heat equations
The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition.
Rossi, J.D. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Blow up for a nonlinear degenerate parabolic equation
Fila, M., Filo, J.
Similarity:
Similarity stabilizes blow-up
Steve Schochet (1999)
Journées équations aux dérivées partielles
Similarity:
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.
Recent progress on the blow-up problem of Zakharov equations
Frank Merle (1995)
Journées équations aux dérivées partielles
Similarity:
Non-simultaneous blow-up for a reaction-diffusion system with absorption and coupled boundary flux.
Zhou, Jun, Mu, Chunlai (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Asymptotic self-similar blow-up for a model of aggregation
Ignacio Guerra (2004)
Banach Center Publications
Similarity:
In this article we consider a system of equations that describes a class of mass-conserving aggregation phenomena, including gravitational collapse and bacterial chemotaxis. In spatial dimensions strictly larger than two, and under the assumptions of radial symmetry, it is known that this system has at least two stable mechanisms of singularity formation (see e.g. M. P. Brenner et al. 1999, Nonlinearity 12, 1071-1098); one type is self-similar, and may be viewed as a trade-off between...