-
1
-
-
16644399272
-
Well-posedness of two-phase Hele-Shaw flow without surface tension
-
Ambrose D.M.: Well-posedness of two-phase Hele-Shaw flow without surface tension. European J. Appl. Math. 15(5), 597–607 (2004)
-
(2004)
European J. Appl. Math.
, vol.15
, Issue.5
, pp. 597-607
-
-
Ambrose, D.M.1
-
2
-
-
84896374602
-
The zero surface tension limit of two-dimensional interfacial Darcy flow
-
Ambrose D.M.: The zero surface tension limit of two-dimensional interfacial Darcy flow. J. Math. Fluid Mech. 16(1), 105–143 (2014)
-
(2014)
J. Math. Fluid Mech.
, vol.16
, Issue.1
, pp. 105-143
-
-
Ambrose, D.M.1
-
3
-
-
0003410201
-
Dynamics of fluids in porous media
-
Bear, J.: Dynamics of fluids in porous media. Dover Publications, 1988
-
(1988)
Dover Publications
-
-
Bear, J.1
-
4
-
-
84885390314
-
Duchon-Robert solutions for the Rayleigh-Taylor and Muskat problems
-
Beck T., Sosoe P., Wong P.: Duchon-Robert solutions for the Rayleigh-Taylor and Muskat problems. Journal of Differential Equations 256(1), 206–222 (2014)
-
(2014)
Journal of Differential Equations
, vol.256
, Issue.1
, pp. 206-222
-
-
Beck, T.1
Sosoe, P.2
Wong, P.3
-
5
-
-
84877066576
-
Breakdown of smoothness for the Muskat problem
-
Castro A., Córdoba D., Fefferman C., Gancedo F.: Breakdown of smoothness for the Muskat problem. Arch. Ration. Mech. Anal., 208(3), 805–909 (2013)
-
(2013)
Arch. Ration. Mech. Anal.
, vol.208
, Issue.3
, pp. 805-909
-
-
Castro, A.1
Córdoba, D.2
Fefferman, C.3
Gancedo, F.4
-
6
-
-
84856371495
-
Splash singularity for water waves
-
Castro A., Córdoba D., Fefferman C., Gancedo F., Gómez-Serrano J.: Splash singularity for water waves. Proc. Natl. Acad. Sci., 109(3), 733–738 (2012)
-
(2012)
Proc. Natl. Acad. Sci.
, vol.109
, Issue.3
, pp. 733-738
-
-
Castro, A.1
Córdoba, D.2
Fefferman, C.3
Gancedo, F.4
Gómez-Serrano, J.5
-
7
-
-
84884318144
-
Finite time singularities for the free boundary incompressible Euler equations
-
Castro A., Córdoba D., Fefferman C., Gancedo F., Gómez-Serrano J.: Finite time singularities for the free boundary incompressible Euler equations. Ann. Math. 178(3), 1061–1134 (2013)
-
(2013)
Ann. Math.
, vol.178
, Issue.3
, pp. 1061-1134
-
-
Castro, A.1
Córdoba, D.2
Fefferman, C.3
Gancedo, F.4
Gómez-Serrano, J.5
-
8
-
-
84857721683
-
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
-
Castro A., Córdoba D., Fefferman C., Gancedo F., López-Fernández M.: Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Ann. Math. 175(2), 909–948 (2012)
-
(2012)
Ann. Math.
, vol.175
, Issue.2
, pp. 909-948
-
-
Castro, A.1
Córdoba, D.2
Fefferman, C.3
Gancedo, F.4
López-Fernández, M.5
-
9
-
-
84870705750
-
On the global existence for the Muskat problem
-
Constantin P., Córdoba D., Gancedo F., Strain R.M.: On the global existence for the Muskat problem. J. Eur. Math. Soc. 15, 201–227 (2013)
-
(2013)
J. Eur. Math. Soc.
, vol.15
, pp. 201-227
-
-
Constantin, P.1
Córdoba, D.2
Gancedo, F.3
Strain, R.M.4
-
10
-
-
0346734144
-
A pointwise estimate for fractionary derivatives with applications to P.D.E
-
Córdoba A., Córdoba D.: A pointwise estimate for fractionary derivatives with applications to P.D.E. Proc. Natl. Acad. Sci. 100(26), 15316–15317 (2003)
-
(2003)
Proc. Natl. Acad. Sci.
, vol.100
, Issue.26
, pp. 15316-15317
-
-
Córdoba, A.1
Córdoba, D.2
-
11
-
-
78751624212
-
Interface evolution: the Hele-Shaw and Muskat problems
-
Córdoba A., Córdoba D., Gancedo F.: Interface evolution: the Hele-Shaw and Muskat problems. Ann. Math., 173(1), 477–542 (2011)
-
(2011)
Ann. Math.
, vol.173
, Issue.1
, pp. 477-542
-
-
Córdoba, A.1
Córdoba, D.2
Gancedo, F.3
-
12
-
-
34249881893
-
Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
-
Córdoba D., Gancedo F.: Contour dynamics of incompressible 3-D fluids in a porous medium with different densities. Comm. Math. Phys. 273(2), 445–471 (2007)
-
(2007)
Comm. Math. Phys.
, vol.273
, Issue.2
, pp. 445-471
-
-
Córdoba, D.1
Gancedo, F.2
-
13
-
-
58849109361
-
A maximum principle for the Muskat problem for fluids with different densities
-
Córdoba D., Gancedo F.: A maximum principle for the Muskat problem for fluids with different densities. Comm. Math. Phys. 286(2), 681–696 (2009)
-
(2009)
Comm. Math. Phys.
, vol.286
, Issue.2
, pp. 681-696
-
-
Córdoba, D.1
Gancedo, F.2
-
14
-
-
84891391945
-
The confined Muskat problem: differences with the deep water regime
-
Córdoba D., Granero R., Orive R.: The confined Muskat problem: differences with the deep water regime. Comm. Math. Sci. 12(3), 423–455 (2014)
-
(2014)
Comm. Math. Sci.
, vol.12
, Issue.3
, pp. 423-455
-
-
Córdoba, D.1
Granero, R.2
Orive, R.3
-
16
-
-
84891662791
-
On the finite-time splash and splat singularities for the 3-D free-surface Euler equations
-
Coutand D., Shkoller S.: On the finite-time splash and splat singularities for the 3-D free-surface Euler equations. Comm. Math. Phys. 325(1), 143–183 (2014)
-
(2014)
Comm. Math. Phys.
, vol.325
, Issue.1
, pp. 143-183
-
-
Coutand, D.1
Shkoller, S.2
-
17
-
-
0000010015
-
Classical solutions for Hele-Shaw models with surface tension
-
Escher J., Simonett G.: Classical solutions for Hele-Shaw models with surface tension. Adv. Differ. Equations 2, 619–642 (1997)
-
(1997)
Adv. Differ. Equations
, vol.2
, pp. 619-642
-
-
Escher, J.1
Simonett, G.2
-
18
-
-
79953645127
-
On the parabolicity of the Muskat problem: Well-posedness, fingering, and stability results
-
Escher J., Matioc B.V.: On the parabolicity of the Muskat problem: Well-posedness, fingering, and stability results. Z. Anal. Anwend. 30(2), 193–218 (2011)
-
(2011)
Z. Anal. Anwend.
, vol.30
, Issue.2
, pp. 193-218
-
-
Escher, J.1
Matioc, B.V.2
-
20
-
-
84958781337
-
On the absence of splash singularities in the case of two-fluid interfaces
-
Fefferman C., Ionescu A., Lie V.: On the absence of splash singularities in the case of two-fluid interfaces. Duke Math. J. 165(3), 417–462 (2016)
-
(2016)
Duke Math. J.
, vol.165
, Issue.3
, pp. 417-462
-
-
Fefferman, C.1
Ionescu, A.2
Lie, V.3
-
21
-
-
84892577446
-
Absence of splash singularities for SQG sharp fronts and the Muskat problem
-
Gancedo F., Strain R.M.: Absence of splash singularities for SQG sharp fronts and the Muskat problem. Proc. Natl. Acad. Sci. 111(2), 635–639 (2014)
-
(2014)
Proc. Natl. Acad. Sci.
, vol.111
, Issue.2
, pp. 635-639
-
-
Gancedo, F.1
Strain, R.M.2
-
22
-
-
84901712643
-
On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof
-
Gómez-Serrano J., Granero R.: On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof. Nonlinearity 27(6), 1471–1498 (2014)
-
(2014)
Nonlinearity
, vol.27
, Issue.6
, pp. 1471-1498
-
-
Gómez-Serrano, J.1
Granero, R.2
-
23
-
-
84902663105
-
Global existence for the confined Muskat problem
-
Granero R.: Global existence for the confined Muskat problem. SIAM J. Math. Anal. 46(2), 1651–1680 (2014)
-
(2014)
SIAM J. Math. Anal.
, vol.46
, Issue.2
, pp. 1651-1680
-
-
Granero, R.1
-
24
-
-
33846818718
-
Dynamics near unstable, interfacial fluids
-
Guo Y., Hallstrom C., Spirn D.: Dynamics near unstable, interfacial fluids. Comm. Math. Phys. 270(3), 635–689 (2007)
-
(2007)
Comm. Math. Phys.
, vol.270
, Issue.3
, pp. 635-689
-
-
Guo, Y.1
Hallstrom, C.2
Spirn, D.3
-
25
-
-
84938553281
-
Darcy’s flow with prescribed contact angle–Well-posedness and lubrication approximation
-
Knüpfer H., Masmoudi N.: Darcy’s flow with prescribed contact angle–Well-posedness and lubrication approximation. Arch. Ration. Mech. Anal. 218(2), 589–646 (2015)
-
(2015)
Arch. Ration. Mech. Anal.
, vol.218
, Issue.2
, pp. 589-646
-
-
Knüpfer, H.1
Masmoudi, N.2
-
26
-
-
0041033033
-
Two Fluid systems in porous media. The encroachment of water into an oil sand
-
Muskat M.: Two Fluid systems in porous media. The encroachment of water into an oil sand. Physics 5, 250–264 (1934)
-
(1934)
Physics
, vol.5
, pp. 250-264
-
-
Muskat, M.1
-
27
-
-
0039525530
-
Evolution of microstructure in unstable porous media flow: a relaxational approach
-
Otto F.: Evolution of microstructure in unstable porous media flow: a relaxational approach. Comm. Pure Appl. Maths 52, 873–915 (1999)
-
(1999)
Comm. Pure Appl. Maths
, vol.52
, pp. 873-915
-
-
Otto, F.1
-
28
-
-
0001383598
-
The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
-
Saffman P.G., Taylor G.: The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. R. Soc. London, Ser. A 245, 312–329 (1958)
-
(1958)
Proc. R. Soc. London, Ser. A
, vol.245
, pp. 312-329
-
-
Saffman, P.G.1
Taylor, G.2
-
29
-
-
4544228729
-
Global Existence, Singular Solutions, and Ill-Posedness for the Muskat Problem
-
Siegel M., Caflisch R., Howison S.: Global Existence, Singular Solutions, and Ill-Posedness for the Muskat Problem. Comm. Pure Appl. Math. 57, 1374–1411 (2004)
-
(2004)
Comm. Pure Appl. Math.
, vol.57
, pp. 1374-1411
-
-
Siegel, M.1
Caflisch, R.2
Howison, S.3
-
30
-
-
84867458807
-
Relaxation of the incompressible porous media equation
-
Székelyhidi L. Jr.: Relaxation of the incompressible porous media equation. Ann. Sci. Éc. Norm. Supér. 45(3), 491–509 (2012)
-
(2012)
Ann. Sci. Éc. Norm. Supér.
, vol.45
, Issue.3
, pp. 491-509
-
-
Székelyhidi, L.1
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