| Multisymplectic geometry, variational integrators, and nonlinear PDEs JE Marsden, GW Patrick, S Shkoller Communications in Mathematical Physics 199 (2), 351-395, 1998 | 758 | 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 | 473 | 2007 |
| Motion of an elastic solid inside an incompressible viscous fluid D Coutand, S Shkoller Archive for rational mechanics and analysis 176 (1), 25-102, 2005 | 284 | 2005 |
| The interaction between quasilinear elastodynamics and the Navier-Stokes equations D Coutand, S Shkoller Archive for rational mechanics and analysis 179 (3), 303-352, 2006 | 241 | 2006 |
| Discrete euler-poincaré and lie-poisson equations JE Marsden, S Pekarsky, S Shkoller Nonlinearity 12 (6), 1647, 1999 | 219 | 1999 |
| 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 (2), 515-616, 2012 | 215 | 2012 |
| 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 | 212 | 2001 |
| 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 | 203 | 2001 |
| Multisymplectic geometry, covariant Hamiltonians, and water waves JE Marsden, S Shkoller Mathematical Proceedings of the Cambridge Philosophical Society 125 (3), 553-575, 1999 | 196 | 1999 |
| Nonuniqueness of weak solutions to the SQG equation T Buckmaster, S Shkoller, V Vicol arXiv preprint arXiv:1610.00676, 2016 | 186 | 2016 |
| Geometry and Curvature of Diffeomorphism Groups withH1Metric and Mean Hydrodynamics S Shkoller journal of functional analysis 160 (1), 337-365, 1998 | 173 | 1998 |
| 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 |
| 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 | 164 | 2011 |
| The anisotropic lagrangian averaged euler and navier-stokes equations JE Marsden, S Shkoller Archive for rational mechanics and analysis 166 (1), 27-46, 2003 | 142 | 2003 |
| 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 (2), 559-587, 2010 | 127 | 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 (1), 143-183, 2014 | 121 | 2014 |
| 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 | 121 | 2000 |
| Well-posedness of the Muskat problem with H2 initial data CHA Cheng, R Granero-Belinchón, S Shkoller Advances in Mathematics 286, 32-104, 2016 | 111 | 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 | 108 | 2007 |
| Formation of shocks for 2D isentropic compressible Euler T Buckmaster, S Shkoller, V Vicol Communications on Pure and Applied Mathematics 75 (9), 2069-2120, 2022 | 103 | 2022 |
Vlad VicolProfessor, Courant Institute of Mathematical Sciences, NYUVerified email at cims.nyu.edu
