Multisymplectic geometry, variational integrators, and nonlinear PDEs JE Marsden, GW Patrick, S Shkoller Communications in Mathematical Physics 199, 351-395, 1998 | 733 | 1998 |
Well-posedness of the free-surface incompressible Euler equations with or without surface tension D Coutand, S Shkoller Journal of the American Mathematical Society 20 (3), 829-930, 2007 | 442 | 2007 |
Motion of an elastic solid inside an incompressible viscous fluid D Coutand, S Shkoller Archive for rational mechanics and analysis 176, 25-102, 2005 | 272 | 2005 |
The interaction between quasilinear elastodynamics and the Navier-Stokes equations D Coutand, S Shkoller Archive for rational mechanics and analysis 179, 303-352, 2006 | 221 | 2006 |
Discrete euler-poincaré and lie-poisson equations JE Marsden, S Pekarsky, S Shkoller Nonlinearity 12 (6), 1647, 1999 | 214 | 1999 |
Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains JE Marsden, S Shkoller Philosophical Transactions of the Royal Society of London. Series A …, 2001 | 207 | 2001 |
Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum D Coutand, S Shkoller Archive for Rational Mechanics and Analysis 206, 515-616, 2012 | 198 | 2012 |
Variational methods, multisymplectic geometry and continuum mechanics JE Marsden, S Pekarsky, S Shkoller, M West Journal of Geometry and Physics 38 (3-4), 253-284, 2001 | 192 | 2001 |
Multisymplectic geometry, covariant Hamiltonians, and water waves JE Marsden, S Shkoller Mathematical Proceedings of the Cambridge Philosophical Society 125 (3), 553-575, 1999 | 192 | 1999 |
Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence K Mohseni, B Kosović, S Shkoller, JE Marsden Physics of Fluids 15 (2), 524-544, 2003 | 172 | 2003 |
Geometry and Curvature of Diffeomorphism Groups withH1Metric and Mean Hydrodynamics S Shkoller journal of functional analysis 160 (1), 337-365, 1998 | 169 | 1998 |
Nonuniqueness of weak solutions to the SQG equation T Buckmaster, S Shkoller, V Vicol arXiv preprint arXiv:1610.00676, 2016 | 166 | 2016 |
Well‐posedness in smooth function spaces for moving‐boundary 1‐D compressible euler equations in physical vacuum D Coutand, S Shkoller Communications on Pure and Applied Mathematics 64 (3), 328-366, 2011 | 152 | 2011 |
The anisotropic lagrangian averaged euler and navier-stokes equations JE Marsden, S Shkoller Archive for rational mechanics and analysis 166, 27-46, 2003 | 138 | 2003 |
The geometry and analysis of the averaged Euler equations and a new diffeomorphism group JE Marsden, TS Ratiu, S Shkoller Geometric & Functional Analysis GAFA 10 (3), 582-599, 2000 | 120 | 2000 |
A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum D Coutand, H Lindblad, S Shkoller Communications in Mathematical Physics 296, 559-587, 2010 | 115 | 2010 |
On the finite-time splash and splat singularities for the 3-D free-surface Euler equations D Coutand, S Shkoller Communications in Mathematical Physics 325, 143-183, 2014 | 113 | 2014 |
Well-posedness of the Muskat problem with H2 initial data CHA Cheng, R Granero-Belinchón, S Shkoller Advances in Mathematics 286, 32-104, 2016 | 102 | 2016 |
Navier–Stokes equations interacting with a nonlinear elastic biofluid shell CHA Cheng, D Coutand, S Shkoller SIAM journal on mathematical analysis 39 (3), 742-800, 2007 | 98 | 2007 |
The interaction of the 3D Navier–Stokes equations with a moving nonlinear Koiter elastic shell CHA Cheng, S Shkoller SIAM journal on mathematical analysis 42 (3), 1094-1155, 2010 | 90 | 2010 |