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- Vlad Vicol

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
35
Citations
3,527
85
World Ranking
1946
National Ranking
825

2015 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Geometry
- Mathematical physics

Vlad Vicol spends much of his time researching Mathematical analysis, Euler equations, Inviscid flow, Space and Prandtl number. His work in Mathematical analysis tackles topics such as Turbulence which are related to areas like Kinetic energy. His studies in Euler equations integrate themes in fields like Weak solution, Invariant measure and Ergodic theory.

His study explores the link between Inviscid flow and topics such as Couette flow that cross with problems in Navier–Stokes equations and Euler's formula. The Space study combines topics in areas such as Initial value problem and Plane. His Bounded function research is multidisciplinary, incorporating elements of Boundary value problem and Domain.

- Nonlinear maximum principles for dissipative linear nonlocal operators and applications (264 citations)
- Onsager's Conjecture for Admissible Weak Solutions (113 citations)
- Nonuniqueness of weak solutions to the Navier-Stokes equation (109 citations)

The scientist’s investigation covers issues in Mathematical analysis, Euler equations, Inviscid flow, Mathematical physics and Bounded function. His studies deal with areas such as Navier–Stokes equations, Scalar and Boundary layer as well as Mathematical analysis. Vlad Vicol combines subjects such as Well posedness, Geostrophic wind, Fourier transform and Lipschitz continuity with his study of Scalar.

His study in Euler equations is interdisciplinary in nature, drawing from both Radius, Vorticity, Sobolev space, Euler's formula and Domain. His Inviscid flow research incorporates themes from Analytic function and Norm. His Mathematical physics research is multidisciplinary, incorporating perspectives in Evolution equation and Pressure jump.

- Mathematical analysis (72.00%)
- Euler equations (44.00%)
- Inviscid flow (24.00%)

- Mathematical analysis (72.00%)
- Euler equations (44.00%)
- Vorticity (16.00%)

His primary areas of study are Mathematical analysis, Euler equations, Vorticity, Inviscid flow and Limit. His research integrates issues of Navier stokes, Navier–Stokes equations and Incompressible euler equations in his study of Mathematical analysis. His Euler equations research includes elements of Compressibility, Euler's formula, Sobolev space, Weak solution and Intermittency.

His Sobolev space study which covers Mathematical physics that intersects with Scalar, Angular velocity, Symmetry in biology, Vortex and Basis. Vlad Vicol has researched Weak solution in several fields, including Space, Norm and Interval, Combinatorics. His work deals with themes such as Bounded function, Square root, Domain and Laplace operator, which intersect with Inviscid flow.

- Onsager's Conjecture for Admissible Weak Solutions (113 citations)
- Nonuniqueness of weak solutions to the Navier-Stokes equation (109 citations)
- Nonuniqueness of weak solutions to the SQG equation (59 citations)

- Mathematical analysis
- Geometry
- Pure mathematics

Euler equations, Mathematical analysis, Inviscid flow, Conjecture and Sobolev space are his primary areas of study. His Euler equations study combines topics in areas such as Weak solution and Intermittency. His work focuses on many connections between Weak solution and other disciplines, such as Turbulence, that overlap with his field of interest in Kinetic energy.

As part of his studies on Mathematical analysis, Vlad Vicol often connects relevant areas like Square root. His Sobolev space research incorporates elements of Mathematical physics, Vortex, Scalar, Symmetry in biology and Angular velocity. His Mathematical physics study combines topics from a wide range of disciplines, such as Couette flow, Shear flow, Inverse and Reynolds number.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Nonlinear maximum principles for dissipative linear nonlocal operators and applications

Peter Constantin;Vlad Vicol.

Geometric and Functional Analysis **(2012)**

297 Citations

Nonuniqueness of weak solutions to the Navier-Stokes equation

Tristan Buckmaster;Vlad Vicol.

Annals of Mathematics **(2019)**

204 Citations

Onsager's Conjecture for Admissible Weak Solutions

Tristan Buckmaster;Camillo De Lellis;László Székelyhidi;Vlad Vicol.

Communications on Pure and Applied Mathematics **(2019)**

198 Citations

Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the 2D Couette flow

Jacob Bedrossian;Nader Masmoudi;Vlad Vicol.

arXiv: Analysis of PDEs **(2014)**

108 Citations

Enhanced Dissipation and Inviscid Damping in the Inviscid Limit of the Navier–Stokes Equations Near the Two Dimensional Couette Flow

Jacob Bedrossian;Nader Masmoudi;Vlad Vicol.

Archive for Rational Mechanics and Analysis **(2016)**

105 Citations

Nonuniqueness of weak solutions to the SQG equation

Tristan Buckmaster;Steve Shkoller;Vlad Vicol.

Communications on Pure and Applied Mathematics **(2019)**

102 Citations

Global well-posedness for an advection–diffusion equation arising in magneto-geostrophic dynamics

Susan Friedlander;Vlad Vicol.

Annales de l'Institut Henri Poincaré C, Analyse non linéaire **(2011)**

102 Citations

Long Time Dynamics of Forced Critical SQG

Peter Constantin;Andrei Tarfulea;Vlad Vicol.

Communications in Mathematical Physics **(2015)**

101 Citations

On the local existence of analytic solutions to the Prandtl boundary layer equations

Igor Kukavica;Vlad Vicol.

Communications in Mathematical Sciences **(2013)**

99 Citations

On the radius of analyticity of solutions to the three-dimensional Euler equations

Igor Kukavica;Vlad Vicol.

Proceedings of the American Mathematical Society **(2008)**

99 Citations

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