In-Jee Jeong

Employment

Education

Papers

• (with Tsuyoshi Yoneda) Enstrophy dissipation and vortex thinning for the incompressible 2D Navier-Stokes equations
  Nonlinearity, to appear. arXiv
  
  
• (with Kyudong Choi) Growth of perimeter for vortex patches
  Appl. Math. Lett, to appear. arXiv
  
  
• (with Tarek Elgindi) On Singular Vortex Patches, II: Long-time dynamics
  Trans. Amer. Math. Soc. (2020) journal arXiv
  
  
• (with Tarek Elgindi) On Singular Vortex Patches, I: Well-posedness Issues
  Mem. Amer. Math. Soc., to appear. arXiv
  
  
• (with Tsuyoshi Yoneda) Vortex stretching and a modified zeroth law for the incompressible 3D Navier-Stokes equations
  Math. Ann. (2020) journal arXiv
  
  
• (with Sun-Chul Kim) On stationary solutions and inviscid limits for generalized Constantin-Lax-Majda equation with O(1) forcing
  Nonlinearity, to appear.
  
  
• (with Tarek Elgindi) Finite-time Singularity Formation for Strong Solutions to the Boussinesq System
  Ann. PDE. (2020) journal arXiv
  
  
• (with Tarek Elgindi) On the Effects of Advection and Vortex Stretching
  Arch. Rational Mech. Anal. (2020) journal arXiv
  
  
• (with Tarek Elgindi) Symmetries and Critical Phenomena in Fluids
  Comm. Pure Appl. Math. (2020) journal arXiv
  
  
• (with Sun-Chul Kim) On the stationary solutions and inviscid limit for the generalized Proudman-Johnson equation with O(1)-forcing
  J. Math. Anal. Appl. (2019) journal
  
  
• Self-similar solutions for dyadic models of the Euler equations
  J. Differential Equations (2019) journal arXiv
  
  
• (with Tarek Elgindi) Finite-time Singularity Formation for Strong Solutions to the axi-symmetric 3D Euler Equations
  Ann. PDE. (2019) journal arXiv
  
  
• Outer Billiards with Contraction: Regular Polygons
  Dyn. Syst. (2018) journal arXiv
  
  
• (with Tarek Elgindi) Ill-posedness for the incompressible Euler equations in critical Sobolev spaces
  Ann. PDE. (2017) journal arXiv
  
  
• (with Benoit Pausader) Discrete Schrödinger equation and ill-posedness for the Euler equation
  Discrete Contin. Dyn. Syst. (2017) journal
  
  
• (with Sasha Sodin) A Limit theorem for stochastically decaying partitions at the edge
  Random Matrices Theory Appl. (2016) journal arXiv
  
  
• (with Dong Li) A Blow-Up Result for Dyadic Models of the Euler Equations
  Comm. Math Phys. (2015) journal arXiv
  
  
• Outer Billiards with Contraction: Attracting Cantor Sets
  Exp. Math. (2015) journal arXiv
  
  
• (with Gregg Musiker and Sicong Zhang) Gale-Robinson sequences and brane tilings
  Discrete Math. Theor. Comput. Sci. Proc. (2013)

Preprints

• (with Young-Pil Choi) Classical solutions to the fractional porous medium flow
  
  
• (with Tsuyoshi Yoneda) Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations
  arXiv
  
  
• (with Young-Pil Choi) On well-posedness and singularity formation for the Euler-Riesz system
  arXiv
  
  
• (with Sung-Jin Oh) On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: illposedness near degenerate stationary solutions
  arXiv
  
  
• Loss of regularity for the 2D Euler equations
  
  
• (with Kyudong Choi) On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations
  arXiv
  
  
• (with Tarek Elgindi) The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain
  arXiv
  
  
• (with Tarek Elgindi, Theodore Drivas, and Gautam Iyer) Anomalous Dissipation in Passive Scalar Transport
  arXiv
  
  

Some Links

• papers on arXiv
  
  
• Google scholar
  
  
• Analysis seminar at KIAS
  
  
• Mathematics of Fluid Motion III (2019.12.18-20)