-
1
-
-
77949814436
-
The Hele-Shaw problem as a "mesa" limit of Stefan problems: Existence, uniqueness and regularity of the free boundary
-
I. BLANK, M. KORTEN, and C.N. MOORE, The Hele-Shaw problem as a "mesa" limit of Stefan problems: Existence, uniqueness and regularity of the free boundary, Trans. Amer. Math. Soc. 361 (2009), 1241-1268.
-
(2009)
Trans. Amer. Math. Soc.
, vol.361
, pp. 1241-1268
-
-
Blank, I.1
Korten, M.2
Moore, C.N.3
-
3
-
-
84990604298
-
A Harnack inequality approach to the regularity of free boundaries. Part II: Flat free boundaries are Lipschitz
-
-, A Harnack inequality approach to the regularity of free boundaries. Part II: Flat free boundaries are Lipschitz, Comm. Pure Appl. Math. 42 (1989), 55-78.
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, pp. 55-78
-
-
-
4
-
-
34248545694
-
Regularity for the One-Phase Hele-Shaw problem from a Lipschitz initial surface
-
S. CHOI, D.S. JERGON, and I.C. KIM, Regularity for the One-Phase Hele-Shaw problem from a Lipschitz initial surface, Amer. J. Math 129 (2007), 527-582.
-
(2007)
Amer. J. Math
, vol.129
, pp. 527-582
-
-
Choi, S.1
Jergon, D.S.2
Kim, I.C.3
-
5
-
-
33644765716
-
Harmonic Junctions in Lipschitz domains, Harmonic Analysis in Euclidean Spaces, Part 1, Amer. Math. Soc
-
Providence, RI
-
B. DAHLBERG, Harmonic Junctions in Lipschitz domains, Harmonic Analysis in Euclidean Spaces, Part 1, Amer. Math. Soc., Providence, RI, 1979, pp. 313-322, Proc Sympos. Pure Math., XXXV, Part.
-
(1979)
Proc Sympos. Pure Math.
, vol.35
, pp. 313-322
-
-
Dahlberg, B.1
-
6
-
-
1642320714
-
All time smooth solutions of the one-phase Stefan problem and the Hele-Shaw flow
-
P. DASKALOPOULOS and K. LEE, All time smooth solutions of the one-phase Stefan problem and the Hele-Shaw flow, Comm PDE 29 (2004), 71-89.
-
(2004)
Comm PDE
, vol.29
, pp. 71-89
-
-
Daskalopoulos, P.1
Lee, K.2
-
7
-
-
84971155357
-
A variational inequality approach to Hele-Shaw flow with a moving boundary
-
C.M. ELLIOT and V. JANOVSKY, A variational inequality approach to Hele-Shaw flow with a moving boundary, Proc. Roy. Soc. Edinburgh. Sect. A 88 (1981), 93-107.
-
(1981)
Proc. Roy. Soc. Edinburgh. Sect. A
, vol.88
, pp. 93-107
-
-
Elliot, C.M.1
Janovsky, V.2
-
8
-
-
0031478022
-
Classical solutions of multidimensional Hele-Shaw models
-
J. ESCHER and G. SIMONETT, Classical solutions of multidimensional Hele-Shaw models, SIAM J. Math. Anal. 28 (1997), 1028-1047.
-
(1997)
SIAM J. Math. Anal.
, vol.28
, pp. 1028-1047
-
-
Escher, J.1
Simonett, G.2
-
9
-
-
0000872629
-
Applications of variational inequalities to a moving boundary problem for Hele Shaw flows
-
B. GUSTAFFSON, Applications of variational inequalities to a moving boundary problem for Hele Shaw flows, SIAM. J. Math. Anal. 16 (1985), 279-300.
-
(1985)
SIAM. J. Math. Anal.
, vol.16
, pp. 279-300
-
-
Gustaffson, B.1
-
10
-
-
0002004980
-
Boundary behavior of harmonic functions in non-tangentially accessible domains
-
D.S. JERISON and C.E. KENIG, Boundary behavior of harmonic functions in non-tangentially accessible domains, Advan. in Math. 46 (1982), 80-147.
-
(1982)
Advan. in Math.
, vol.46
, pp. 80-147
-
-
Jerison, D.S.1
Kenig, C.E.2
-
11
-
-
33644997021
-
The one-phase Hele-Shaw problem with singularities
-
D.S. JERISON and I.C. KIM, The one-phase Hele-Shaw problem with singularities, J. Geom. Anal. 15 (2005), 641-667.
-
(2005)
J. Geom. Anal.
, vol.15
, pp. 641-667
-
-
Jerison, D.S.1
Kim, I.C.2
-
12
-
-
84875120513
-
Homogenization of a Hele-Shaw type problem in periodic and random media
-
(to appear).
-
A. MELLET and I.C. KIM, Homogenization of a Hele-Shaw type problem in periodic and random media, Arch. Ration. Mech. Anal (to appear).
-
Arch. Ration. Mech. Anal
-
-
Mellet, A.1
Kim, I.C.2
-
13
-
-
0043245213
-
Uniqueness and Existence result of Hele-Shaw and Stefan problem
-
I.C. KIM, Uniqueness and Existence result of Hele-Shaw and Stefan problem, Ach. Rat. Mech. Anal. 168 (2003), 299-328.
-
(2003)
Ach. Rat. Mech. Anal.
, vol.168
, pp. 299-328
-
-
Kim, I.C.1
-
14
-
-
33644745127
-
Regularity of free boundary in one phase Hele-Shaw problem
-
-, Regularity of free boundary in one phase Hele-Shaw problem, J. Diff. Equations 223 (2006), 161-184.
-
(2006)
J. Diff. Equations
, vol.223
, pp. 161-184
-
-
-
15
-
-
84974510185
-
Persistence of comers in free boundaries in Hele-Shaw flow
-
J.R. KING, A.A. LACEY, and J.L. VAZQUEZ, Persistence of comers in free boundaries in Hele-Shaw flow, Euro. J. Appl. Math. 6 (1995), 455-490.
-
(1995)
Euro. J. Appl. Math.
, vol.6
, pp. 455-490
-
-
King, J.R.1
Lacey, A.A.2
Vazquez, J.L.3
-
16
-
-
21144459538
-
Regularity of boundaries of quadrature domains in two dimensions
-
M. SAKAI, Regularity of boundaries of quadrature domains in two dimensions, SIAM J. Math. Anal. 24 (1993), 341-364.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 341-364
-
-
Sakai, M.1
-
17
-
-
0003023464
-
Inequalities for the Green function and boundary continuity of the gradient of solutions of elliptic differential equations
-
K.-O. WIDMAN, Inequalities for the Green function and boundary continuity of the gradient of solutions of elliptic differential equations, Math. Scand. 21 (1967), 17-37.
-
(1967)
Math. Scand.
, vol.21
, pp. 17-37
-
-
Widman, K.-O.1
|