Page 114 -
P. 114

6 Free Boundary Problems and Phase Transitions
        108

                              References

                               [1] M.D. Betterton, Theory of Structure Formation in Snowfields motivated by
                                   Penitentes, Suncups, and Dirt Cones, Physical Review E, Vol. 63, 2001
                               [2] L. Caffarelli, The Obstacle Problem, Fermi Lectures, Scuola Norm. Sup. di
                                   Pisa, 1998 5
                               [3] N.Calvo,J.I.Diaz, J. Durany,E.Schiavi andC.Vazquez, On a Doubly
                                   Nonlinear Parabolic Obstacle Problem modeling large Ice Sheet Dynamics,
                                   SIAM J. Appl. Math., Vol. 63, No. 2, pp. 683–707, 2002
                               [4] A. Friedman, Variational Principles and Free-Boundary Problems,Wiley-
                                   Interscience, New York, 1982
                               [5] W.S.B. Paterson, Physics of Glaciers, Elsevier, 2000
                               [6] C. Schoof, Mathematical Models of Glacier Sliding and Drumlin Formation,
                                   Ph.D. thesis, University of Oxford, 2002
                               [7] J. Stefan, ¨ Uber die Theorie der Eisbildung, insbesondere ¨ uber die Eisbildung
                                   im Polarmeere, Annalen der Physik und Chemie, 42, pp. 269–286, 1891
                               [8] A.M. Meirmanov, The Stefan Problem,deGruyter ExpositionsinMathe-
                                   matics 3, 1992
                               [9] M. Paolini, From theStefanProblem to CrystallineEvolution,Lecture Notes,
                                   2002 6
                              [10] A. Visintin, Models of Phase Transitions, Birkhäuser-Boston, Series:
                                   Progress in Nonlinear Differential Equations, Vol. 28, 1996
                              [11] C. Vuik, Some historical notes about the Stefan problem, Nieuw Archief voor
                                   Wiskunde, 4e serie, 11, pp. 157–167, 1993



























                              5
                                can be downloaded from http://www.ma.utexas.edu/users/combs/Caffarelli/obstacle.pdf
                              6
                                can be downloaded from http://www.dmf.bs.unicatt.it/cgi-bin/preprintserv/paolini/Pao02A
   109   110   111   112   113   114   115   116   117   118   119