In this paper, we nvestigate a class of nonlinear parabolic problems, known as viscous Hamilton–Jacobi-type problems. We establish conditions on data sufficient to insure that blow-up occurs in finite time. Moreover, conditions on data and geometry of the spatial domain are derived, ensuring the solution to exist for all time with exponential decay.
Blow-up and Decay Bounds in Hamilton–Jacobi-type Problems
MARRAS, MONICA;PIRO, STELLA
2014-01-01
Abstract
In this paper, we nvestigate a class of nonlinear parabolic problems, known as viscous Hamilton–Jacobi-type problems. We establish conditions on data sufficient to insure that blow-up occurs in finite time. Moreover, conditions on data and geometry of the spatial domain are derived, ensuring the solution to exist for all time with exponential decay.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
