Title of article :
A KPZ growth model with possibly unbounded data: Correctness and blow-up
Original Research Article
Author/Authors :
Alexander Gladkov، نويسنده , , Mohammed Guedda، نويسنده , , Robert Kersner، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Abstract :
Existence and uniqueness results for initial value problem with a given growth condition (upper bound) on the initial datum for the so-called generalized deterministic KPZ (Kardar–Parisi–Zhang) equation ut=uxx+λ|ux|qut=uxx+λ|ux|q are obtained. Self-similar blow-up solutions are investigated also.
Keywords :
KPZ equation , Surface growth , Viscous Hamilton–Jacobi equation , Self-similar blow-up solutions
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
