Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations. - Steve Shkoller (Appl. Math. Lett., 2001)

Navier-Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell. - C. H. Arthur Cheng; Daniel Coutand; Steve Shkoller (SIAM J. Math. Anal., 2007)

The Interaction of the 3D Navier-Stokes Equations with a Moving Nonlinear Koiter Elastic Shell. - C. H. Arthur Cheng; Steve Shkoller (SIAM J. Math. Anal., 2010)

A space-time smooth artificial viscosity method for nonlinear conservation laws. - Jon Reisner; Jonathan Serencsa; Steve Shkoller (J. Comput. Phys., 2013)

Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit. - Daniel Coutand; Jason Hole; Steve Shkoller (SIAM J. Math. Anal., 2013)

A Model for Rayleigh-Taylor Mixing and Interface Turnover. - Rafael Granero-Belinchón; Steve Shkoller (Multiscale Model. Simul., 2017)

Local Well-Posedness and Global Stability of the Two-Phase Stefan Problem. - Mahir Hadzic; Gustavo Navarro; Steve Shkoller (SIAM J. Math. Anal., 2017)

A space-time smooth artificial viscosity method with wavelet noise indicator and shock collision scheme, Part 2: The 2-D case. - Raaghav Ramani; Jon Reisner; Steve Shkoller (J. Comput. Phys., 2019)

A space-time smooth artificial viscosity method with wavelet noise indicator and shock collision scheme, Part 1: The 1-D case. - Raaghav Ramani; Jon Reisner; Steve Shkoller (J. Comput. Phys., 2019)

A multiscale model for Rayleigh-Taylor and Richtmyer-Meshkov instabilities. - Raaghav Ramani; Steve Shkoller (J. Comput. Phys., 2020)

A fast dynamic smooth adaptive meshing scheme with applications to compressible flow. - Raaghav Ramani; Steve Shkoller (J. Comput. Phys., 2023)