Steve Shkoller

Applied Mathematics · 2000–2016

A researcher in the Science corpus: 10 papers; trusts 31 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 58 citations into it; #712 of 7,620 by trust here, #886 by citations
• Computational Mechanics — 34 citations into it; #1,558 of 10,001 by trust here, #2,942 by citations
• Mathematical Physics — 32 citations into it; #918 of 8,562 by trust here, #1,130 by citations
• Computational Theory and Mathematics — 13 citations into it; #8,059 of 12,182 by trust here, #8,756 by citations
• Control and Systems Engineering — 13 citations into it; #5,156 of 8,257 by trust here, #4,962 by citations

Whom Steve Shkoller trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Daniel Coutand
2. Camillo De Lellis
3. L. Sz'ekelyhidi
4. Hans Lindblad
5. David Lannes
6. S. Grossmann
7. Philip Isett
8. Jerrold E. Marsden
9. P. Lemari'e-Rieusset
10. Yuri Trakhinin

Who trusts Steve Shkoller overall

1. Daniel Coutand
2. Tao Luo
3. Nader Masmoudi
4. C. H. Arthur Cheng
5. Peter Constantin
6. Thomas Alazard
7. Juhi Jang
8. Yan Guo
9. Ping Zhang
10. Huihui Zeng

Papers from Steve Shkoller's perspective

Ordered by how strongly the researchers Steve Shkoller trusts endorse each paper. Same corpus, a different order for every researcher.

1. Geometry and a priori estimates for free boundary problems of the Euler's equation
2. Well Posedness for the Motion of a Compressible Liquid with Free Surface Boundary
3. Well-posedness of the free-surface incompressible Euler equations with or without surface tension
4. The zero surface tension limit two‐dimensional water waves
5. The $h$-principle and the equations of fluid dynamics
6. Well-posedness of the water-waves equations
7. Anomalous dissipation for 1/5-Hölder Euler flows
8. Dissipative Euler Flows and Onsager's Conjecture
9. Dissipative continuous Euler flows
10. A Proof of Onsager's Conjecture

Their papers

• The Interaction between Quasilinear Elastodynamics and the Navier-Stokes Equations (2006) — 202 citations
• Motion of an Elastic Solid inside an Incompressible Viscous Fluid (2004) — 230 citations
• Nonuniqueness of Weak Solutions to the SQG Equation (2016) — 171 citations
• Well-posedness of the Muskat problem with H2 initial data (2014) — 109 citations
• Well-Posedness in Smooth Function Spaces for the Moving-Boundary Three-Dimensional Compressible Euler Equations in Physical Vacuum (2012) — 188 citations
• Well‐posedness in smooth function spaces for moving‐boundary 1‐D compressible euler equations in physical vacuum (2009) — 139 citations
• Well-posedness of the free-surface incompressible Euler equations with or without surface tension (2005) — 413 citations
• Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence (2003) — 150 citations
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains (2001) — 176 citations
• Variational Methods, Multisymplectic Geometry and Continuum Mechanics (2000) — 143 citations