On a mathematical model in ice sheet dynamics

• Main Authors: S. N. Antontsev, H. B. De Oliveira
• Other Authors: The Pennsylvania State University CiteSeerX Archives
• Format: Text
• Language: English
• Published: 2007
• Subjects: Ice Sheet
• Online Access: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.539.4265; http://w3.ualg.pt/~holivei/Antontsev-Oliveira-WSEAS2007-Athens.pdf

Abstract: In this talk we consider a three-dimensional isothermal model for ice sheet dynamics in Glaciology. The model is derived from the Continuum Mechanics principles and well-known experimental results carried out in Glaciology. The final formulation of the model gives rise to a degenerate quasi-linear elliptic-parabolic equation for the ice-thickness function. Under appropriate initial and Dirichlet boundary conditions, we discuss the existence and uniqueness of weak solutions for this mathematical model. Then, we prove the localization properties of finite speed of propagations and waiting time for the ice-thickness function. To establish these properties we use here a suitable energy method. Key–Words: ice sheet dynamics, existence, uniqueness, finite speed of propagations, waiting time. 1