Vlad Vicol

Applied Mathematics · 2008–2022

A researcher in the Science corpus: 25 papers; trusts 111 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 287 citations into it; #324 of 7,620 by trust here, #388 by citations
• Mathematical Physics — 147 citations into it; #507 of 8,562 by trust here, #630 by citations
• Computational Mechanics — 137 citations into it; #981 of 10,001 by trust here, #1,867 by citations
• Control and Systems Engineering — 98 citations into it; #2,645 of 8,257 by trust here, #3,389 by citations
• Computational Theory and Mathematics — 56 citations into it; #5,652 of 12,182 by trust here, #5,954 by citations
• Finance — 43 citations into it; #5,642 of 10,518 by trust here, #7,575 by citations
• Statistical and Nonlinear Physics — 19 citations into it
• Numerical Analysis — 12 citations into it; #1,300 of 3,586 by trust here, #1,968 by citations

Whom Vlad Vicol trusts overall

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

1. Peter Constantin
2. Alexander V. Kiselev
3. Camillo De Lellis
4. T. Buckmaster
5. L. Sz'ekelyhidi
6. Philip Isett
7. Luis Caffarelli
8. Luis Silvestre
9. Davdi Gerard-Varet
10. Fedor Nazarov

Who trusts Vlad Vicol overall

1. T. Buckmaster
2. Martina Hofmanov'a
3. Igor Kukavica
4. Nader Masmoudi
5. Dallas Albritton
6. Jacob Bedrossian
7. Peter Constantin
8. Davdi Gerard-Varet
9. Elia Brué
10. Luis Silvestre

Papers from Vlad Vicol's perspective

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

1. Vorticity and incompressible flow
2. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
3. The $h$-principle and the equations of fluid dynamics
4. Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
5. Onsager and the theory of hydrodynamic turbulence
6. Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
7. Nonlinear maximum principles for dissipative linear nonlocal operators and applications
8. Well-posedness for the Prandtl system without analyticity or monotonicity
9. On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
10. Weak Solutions with Decreasing Energy¶of Incompressible Euler Equations

Their papers

• Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations (2013) — 77 citations
• Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise (2011) — 149 citations
• Global regularity for 2D Muskat equations with finite slope (2015) — 86 citations
• On the Loss of Continuity for Super-Critical Drift-Diffusion Equations (2012) — 75 citations
• An intermittent Onsager theorem (2022) — 54 citations
• Convex integration and phenomenologies in turbulence (2019) — 177 citations
• Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications (2019) — 53 citations
• The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary (2019) — 55 citations
• Well-posedness of the hydrostatic Navier–Stokes equations (2018) — 54 citations
• Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 (2018) — 135 citations
• Nonuniqueness of weak solutions to the Navier-Stokes equation (2017) — 443 citations
• Onsager's Conjecture for Admissible Weak Solutions (2017) — 352 citations
• Nonuniqueness of Weak Solutions to the SQG Equation (2016) — 171 citations
• Almost Global Existence for the Prandtl Boundary Layer Equations (2015) — 130 citations
• Enhanced Dissipation and Inviscid Damping in the Inviscid Limit of the Navier–Stokes Equations Near the Two Dimensional Couette Flow (2014) — 174 citations
• On a transport equation with nonlocal drift (2014) — 51 citations
• On the global regularity for the supercritical SQG equation (2014) — 75 citations
• On the inviscid limit of the Navier-Stokes equations (2014) — 85 citations
• Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations (2013) — 74 citations
• On the local existence of analytic solutions to the Prandtl boundary layer equations (2013) — 120 citations