On the parabolicity of the Muskat problem: well-posedness, fingering, and stability results J Escher, BV Matioc Zeitschrift für Analysis und ihre Anwendungen 30 (2), 193-218, 2011 | 95 | 2011 |
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results BV Matioc Analysis & PDE 12 (2), 281-332, 2018 | 69 | 2018 |
A gradient flow approach to a thin film approximation of the Muskat problem P Laurençot, BV Matioc Calculus of Variations and Partial Differential Equations 47, 319-341, 2013 | 60 | 2013 |
On stratified steady periodic water waves with linear density distribution and stagnation points J Escher, AV Matioc, BV Matioc Journal of Differential Equations 251 (10), 2932-2949, 2011 | 59 | 2011 |
Analyticity of the streamlines for periodic traveling water waves with bounded vorticity BV Matioc International Mathematics Research Notices 2011 (17), 3858-3871, 2011 | 50 | 2011 |
On the existence of steady periodic capillary-gravity stratified water waves D Henry, BV Matioc Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 12 (4), 955-974, 2013 | 47 | 2013 |
A generalized Rayleigh–Taylor condition for the Muskat problem J Escher, AV Matioc, BV Matioc Nonlinearity 25 (1), 73, 2011 | 45 | 2011 |
Viscous displacement in porous media: the Muskat problem in 2D BV Matioc Transactions of the American Mathematical Society 370 (10), 7511-7556, 2018 | 37 | 2018 |
Modelling and analysis of the Muskat problem for thin fluid layers J Escher, AV Matioc, BV Matioc Journal of Mathematical Fluid Mechanics 14, 267-277, 2012 | 36 | 2012 |
Global bifurcation for water waves with capillary effects and constant vorticity BV Matioc Monatshefte für Mathematik 174, 459-475, 2014 | 35 | 2014 |
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media J Escher, P Laurençot, BV Matioc Annales de l'IHP Analyse non linéaire 28 (4), 583-598, 2011 | 34 | 2011 |
ON THE REGULARITY OF STEADY PERIODIC STRATIFIED WATER WAVES. D Henry, BV Matioc Communications on Pure & Applied Analysis 11 (4), 2012 | 31 | 2012 |
On the symmetry of periodic gravity water waves with vorticity AV Matioc, BV Matioc | 29 | 2013 |
Existence of capillary-gravity water waves with piecewise constant vorticity CI Martin, BV Matioc Journal of Differential Equations 256 (8), 3086-3114, 2014 | 28 | 2014 |
On the regularity of deep-water waves with general vorticity distributions BV Matioc Quarterly of applied mathematics 70 (2), 393-405, 2012 | 28 | 2012 |
Capillary–gravity water waves with discontinuous vorticity: existence and regularity results AV Matioc, BV Matioc Communications in Mathematical Physics 330, 859-886, 2014 | 25 | 2014 |
On periodic water waves with Coriolis effects and isobaric streamlines AV Matioc, BV Matioc Journal of Nonlinear Mathematical Physics 19 (Suppl 1), 89-103, 2012 | 23 | 2012 |
The domain of parabolicity for the Muskat problem J Escher, BV Matioc, C Walker Indiana University Mathematics Journal 67 (2), 679-737, 2018 | 22 | 2018 |
A thin film approximation of the Muskat problem with gravity and capillary forces P Laurençot, BV Matioc Journal of the Mathematical Society of Japan 66 (4), 1043-1071, 2014 | 22 | 2014 |
Existence of Wilton ripples for water waves with constant vorticity and capillary effects CI Martin, BV Matioc SIAM Journal on Applied Mathematics 73 (4), 1582-1595, 2013 | 22 | 2013 |