Vlad Vicol
- 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 · 6 citations
Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics
- The Sobolev Stability Threshold for 2D Shear Flows Near Couette
2016/08/25 by Jacob Bedrossian, Vlad Vicol, Fei Wang · 4 citations
- 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
- Formation of shocks for 2D isentropic compressible Euler
2019/07/08 by Tristan Buckmaster, Buckmaster, Tristan, Steve Shkoller +3 · 3 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
- The van Dommelen and Shen singularity in the Prandtl equations
2015/12/23 by Igor Kukavica, Vlad Vicol, Kukavica, Igor +3 · 2 citations
Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics
- Analyticity up to the boundary for the Stokes and the Navier-Stokes systems
2019/10/02 by Guher Camliyurt, Güher Çamliyurt, Igor Kukavica +1 · 3 citations
Mathematics · Engineering · Computer Science · #Navier-Stokes equation solutions #Fluid Dynamics and Turbulent Flows #Advanced Mathematical Modeling in Engineering
- 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
- A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy
2023/02/02 by Isaac Neal, Steve Shkoller, Neal, Isaac +3 · 1 citation
Mathematics · Physics and Astronomy · #Navier-Stokes equation solutions #Nonlinear Waves and Solitons