Well Posedness Of A Coupled ICE-Hydrology Problem Arising In Glaciology

The description of the movement of ice sheets such as Antarctica and Greenland features mathematical challenges such as the nonlinear dependence of the ice viscosity on the ice velocity and the com...

[1]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[2]  QINGSHAN CHEN,et al.  Well-Posedness Results for a Nonlinear Stokes Problem Arising in Glaciology , 2013, SIAM J. Math. Anal..

[3]  A. Iken The effect of the subglacial water pressure on the sliding velocity of a glacier in an idealized numerical model , 1981 .

[4]  H. Blatter Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients , 1995 .

[5]  J. Rappaz,et al.  A strongly nonlinear problem arising in glaciology , 1999 .

[6]  Robin E. Bell,et al.  The role of subglacial water in ice-sheet mass balance , 2008 .

[7]  G. Flowers,et al.  Modeling channelized and distributed subglacial drainage in two dimensions , 2013 .

[8]  F. Pattyn A new three-dimensional higher-order thermomechanical ice sheet model: Basic sensitivity, ice stream development, and ice flow across subglacial lakes , 2003 .

[9]  Ian Hewitt,et al.  Seasonal changes in ice sheet motion due to melt water lubrication , 2012 .

[10]  C. Schoof COULOMB FRICTION AND OTHER SLIDING LAWS IN A HIGHER-ORDER GLACIER FLOW MODEL , 2010 .

[11]  Gwenn E. Flowers,et al.  Modelling water flow under glaciers and ice sheets , 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[12]  Kellen Petersen August Real Analysis , 2009 .

[13]  J. Oden,et al.  Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .

[14]  Cornelius O. Horgan,et al.  Korn's Inequalities and Their Applications in Continuum Mechanics , 1995, SIAM Rev..

[15]  R. Armstrong,et al.  The Physics of Glaciers , 1981 .

[16]  S. Price,et al.  Feedbacks between coupled subglacial hydrology and glacier dynamics , 2014 .

[17]  C. Schoof,et al.  Flotation and free surface flow in a model for subglacial drainage. Part 1. Distributed drainage , 2012, Journal of Fluid Mechanics.

[18]  I. Hewitt Modelling distributed and channelized subglacial drainage: the spacing of channels , 2011, Journal of Glaciology.