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Vicol, Vlad

  1. Nonuniqueness of weak solutions to the Navier-Stokes equation
    2017/09/28 by Buckmaster, Tristan, Vicol, Vlad · 16 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  2. Onsager's conjecture for admissible weak solutions
    2017/01/30 by Buckmaster, Tristan, De Lellis, Camillo, Székelyhidi, László +1 · 8 citations
    #35D30 #35Q31 (Primary) #76B03 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. On the local well-posedness of the Prandtl and the hydrostatic Euler\n equations with multiple monotonicity regions
    2014/02/09 by Igor Kukavica, Nader Masmoudi, Kukavica, Igor +5 · 7 citations
    Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics
  4. Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations
    2017/11/10 by Bedrossian, Jacob, Zelati, Michele Coti, Vicol, Vlad · 6 citations
    #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Plasma Physics (physics.plasm-ph)
  5. Nonuniqueness of weak solutions to the SQG equation
    2016/10/03 by Buckmaster, Tristan, Shkoller, Steve, Vicol, Vlad · 5 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
    2018/09/03 by Buckmaster, Tristan, Colombo, Maria, Vicol, Vlad · 5 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. Convex integration and phenomenologies in turbulence
    2019/01/25 by Buckmaster, Tristan, Vicol, Vlad · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. Weak solutions of ideal MHD which do not conserve magnetic helicity
    2019/07/24 by Beekie, Rajendra, Buckmaster, Tristan, Vicol, Vlad · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. The van Dommelen and Shen singularity in the Prandtl equations
    2015/12/23 by Igor Kukavica, Kukavica, Igor, Vlad Vicol +3 · 3 citations
    Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics
  10. Formation of shocks for 2D isentropic compressible Euler
    2019/07/08 by Tristan Buckmaster, Steve Shkoller, Buckmaster, Tristan +3 · 4 citations
    Engineering · Mathematics · #35L67 #35Q31 #76L05 #76N15 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Navier-Stokes equation solutions
  11. Anomalous diffusion by fractal homogenization
    2023/05/08 by Scott A. Armstrong, Armstrong, Scott, Vlad Vicol +1 · 5 citations
    Computer Science · Mathematics · Physics and Astronomy · #35B27 #35Q35 #76F25 #76F30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Theoretical and Computational Physics
  12. The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
    2019/04/10 by Kukavica, Igor, Vicol, Vlad, Wang, Fei · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  13. Formation of point shocks for 3D compressible Euler
    2019/12/10 by Buckmaster, Tristan, Shkoller, Steve, Vicol, Vlad · 3 citations
    #35L67 #35Q31 #76L05 #76N15 #Analysis of PDEs (math.AP) #FOS: Mathematics
  14. Shock formation and vorticity creation for 3d Euler
    2020/06/26 by Buckmaster, Tristan, Shkoller, Steve, Vicol, Vlad · 3 citations
    #35L67 #35Q31 #76L05 #76N15 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
  15. Nonlinear maximum principles for dissipative linear nonlocal operators and applications
    2011/10/02 by Constantin, Peter, Vicol, Vlad · 2 citations
    #35Q35 #76B03 #Analysis of PDEs (math.AP) #FOS: Mathematics
  16. On the inviscid limit of the Navier-Stokes equations
    2014/03/23 by Constantin, Peter, Kukavica, Igor, Vicol, Vlad · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  17. Holder Continuous Solutions of Active Scalar Equations
    2014/05/29 by Isett, Philip, Vicol, Vlad · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  18. On a transport equation with nonlocal drift
    2014/08/05 by Silvestre, Luis, Vicol, Vlad · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  19. Remarks on the inviscid limit for the Navier-Stokes equations for\n uniformly bounded velocity fields
    2015/12/17 by Peter Constantin, Tarek M. Elgindi, Constantin, Peter +5 · 2 citations
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
  20. Well-posedness of the hydrostatic Navier-Stokes equations
    2018/04/12 by Gerard-Varet, David, Masmoudi, Nader, Vicol, Vlad · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  21. On Inviscid Limits for the Stochastic Navier-Stokes Equations and\n Related Models
    2013/02/03 by Nathan Glatt-Holtz, Vladimír Šverák, Glatt-Holtz, Nathan +3 · 1 citation
    Economics, Econometrics and Finance · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications
  22. Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models
    2014/03/23 by Constantin, Peter, Vicol, Vlad, Wu, Jiahong · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  23. Global regularity for 2D Muskat equations with finite slope
    2015/07/06 by Constantin, Peter, Gancedo, Francisco, Shvydkoy, Roman +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  24. The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions
    2023/10/12 by Shkoller, Steve, Vicol, Vlad · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
  25. Real analytic local well-posedness for the Triple Deck
    2019/05/18 by Sameer Iyer, Iyer, Sameer, Vlad Vicol +1 · 1 citation
    Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows
  26. Non-conservative H\frac 12- weak solutions of the incompressible 3D Euler equations
    2021/01/22 by Buckmaster, Tristan, Masmoudi, Nader, Novack, Matthew +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  27. Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data
    2021/06/03 by Buckmaster, Tristan, Drivas, Theodore D., Shkoller, Steve +1 · 1 citation
    #35L67 #35Q31 #76L05 #76N15 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph)
  28. Exact Boundary Controllability for the Ideal Magneto-hydrodynamic Equations
    2021/08/27 by Igor Kukavica, Kukavica, Igor, Matthew Novack +3 · 1 citation
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
  29. A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy
    2023/02/02 by Isaac Neal, Neal, Isaac, Steve Shkoller +3 · 1 citation
    Mathematics · Physics and Astronomy · #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
  30. A new type of stable shock formation in gas dynamics
    2023/03/29 by Neal, Isaac, Rickard, Calum, Shkoller, Steve +1 · 1 citation
    #35L67 #76L05 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  31. Vorticity blowup in 2D compressible Euler equations
    2024/07/08 by Chen, Jiajie, Cialdea, Giorgio, Shkoller, Steve +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)