Some free boundary problems in theorical glaciology.
Jose Francisco Rodrigues
CMAF / Universidade de Lisboa,
Av. Prof. Gama Pinto, 2
1699 Lisboa Codex - PORTUGAL
Lisa Santos
Dept. de Matematica / Univ. do Minho,
Campus de Gualtar,
4700 Braga - PORTUGAL
Plan
1 - Mathematical Models and the Shallow-Ice Approximation
1.1. Introduction
1.2. Shallow-ice modelling
1.3. Kinematic description of the free surface
1.4. A simplified ice-water model
2 - Mathematical Analysis of the Glacier Kinematics
2.1. The steady-state case
2.2. The evolutionary problem
2.3. The asymptotic behaviour in time
3 - Analysis of the Shallow-Ice Temperature with Phase Change
3.1. The parabolic steady-state case
3.2. The ultraparabolic Stefan problem
3.3. The asymptotic stabilization in time
References
NATO ASI Series. Vol. I 48
The Mathematics of Models for Climatology
and Environment
Edited by Jo<"s Ildefonso Diaz
© Springer-Verlag Berlin Heidelberg 1997
Jose Francisco Rodrigues
CMAF / Universidade de Lisboa,
Av. Prof. Gama Pinto, 2
1699 Lisboa Codex - PORTUGAL
Lisa Santos
Dept. de Matematica / Univ. do Minho,
Campus de Gualtar,
4700 Braga - PORTUGAL
Plan
1 - Mathematical Models and the Shallow-Ice Approximation
1.1. Introduction
1.2. Shallow-ice modelling
1.3. Kinematic description of the free surface
1.4. A simplified ice-water model
2 - Mathematical Analysis of the Glacier Kinematics
2.1. The steady-state case
2.2. The evolutionary problem
2.3. The asymptotic behaviour in time
3 - Analysis of the Shallow-Ice Temperature with Phase Change
3.1. The parabolic steady-state case
3.2. The ultraparabolic Stefan problem
3.3. The asymptotic stabilization in time
References
NATO ASI Series. Vol. I 48
The Mathematics of Models for Climatology
and Environment
Edited by Jo<"s Ildefonso Diaz
© Springer-Verlag Berlin Heidelberg 1997
