RT Journal Article
T1 Existence of weak solutions to a system of nonlinear partial differential equations modelling ice streams
A1 Díaz Díaz, Jesús Ildefonso
A1 Muñoz Montalvo, Ana Isabel
A1 Schiavi, Emanuele
AB This paper deals with the mathematical analysis of a nonlinear system of three differential equations of mixed type. It describes the generation of fast ice streams in ice sheets flowing along soft and deformable beds. The system involves a nonlinear parabolic PDE with a multivalued. term in order to deal properly with a free boundary which is naturally associated to the problem of determining the basal water flux in a drainage system. The other two equations in the system are an ODE with a nonlocal (integral) term for the ice thickness, which accounts for mass conservation and a first order PDE describing the ice velocity of the system. We first consider an iterative decoupling procedure to the system equations to obtain the existence and uniqueness of solutions for the uncoupled problems. Then we prove the convergence of the iterative decoupling scheme to a bounded weak solution for the original system.
PB Pergamon-Elsevier Science Ltd.
SN 1468-1218
YR 2007
FD 2007-02
LK https://hdl.handle.net/20.500.14352/49933
UL https://hdl.handle.net/20.500.14352/49933
LA eng
NO MTM
NO University Rey Juan Carlos of Madrid
DS Docta Complutense
RD 8 jun 2025