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Steve Shkoller
Steve Shkoller
Professor of Mathematics, UC Davis
Verified email at math.ucdavis.edu
Title
Cited by
Cited by
Year
Multisymplectic geometry, variational integrators, and nonlinear PDEs
JE Marsden, GW Patrick, S Shkoller
Communications in Mathematical Physics 199, 351-395, 1998
7181998
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
4202007
Motion of an elastic solid inside an incompressible viscous fluid
D Coutand, S Shkoller
Archive for rational mechanics and analysis 176, 25-102, 2005
2592005
The interaction between quasilinear elastodynamics and the Navier-Stokes equations
D Coutand, S Shkoller
Archive for rational mechanics and analysis 179, 303-352, 2006
2172006
Discrete euler-poincaré and lie-poisson equations
JE Marsden, S Pekarsky, S Shkoller
Nonlinearity 12 (6), 1647, 1999
2061999
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
2032001
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
1872001
Multisymplectic geometry, covariant Hamiltonians, and water waves
JE Marsden, S Shkoller
Mathematical Proceedings of the Cambridge Philosophical Society 125 (3), 553-575, 1999
1861999
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
1732012
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
1682003
Geometry and Curvature of Diffeomorphism Groups withH1Metric and Mean Hydrodynamics
S Shkoller
journal of functional analysis 160 (1), 337-365, 1998
1681998
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
1392011
The anisotropic lagrangian averaged euler and navier-stokes equations
JE Marsden, S Shkoller
Archive for rational mechanics and analysis 166, 27-46, 2003
1342003
Nonuniqueness of weak solutions to the SQG equation
T Buckmaster, S Shkoller, V Vicol
arXiv preprint arXiv:1610.00676, 2016
1332016
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
1192000
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
1102014
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
1072010
Well-posedness of the Muskat problem with H2 initial data
CHA Cheng, R Granero-Belinchón, S Shkoller
Advances in Mathematics 286, 32-104, 2016
1002016
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
912007
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
812010
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