In-Jee Jeong

Publication and Preprints

Publication by topics

[arXiv] [Google scholar] [Mathscinet]
Preprints

MHS equilibria in the non-resistive limit to the randomly forced resistive magnetic relaxation equations (with Ken Abe, Federico Pasqualotto, and Naoki Sato), arXiv, 57 pp.
Wellposedness of inviscid SQG in the half-plane (with Junha Kim and Hideyuki Miura), arXiv, 19 pp.
Stationary self-similar profiles for the two-dimensional inviscid Boussinesq equations (with Ken Abe and Dan Ginsberg), arXiv, 52 pp.
Stability of vortex quadrupoles with odd-odd symmetry (with Kyudong Choi and Yao Yao), arXiv, 33 pp.
On illposedness of the Hall and electron magnetohydrodynamic equations without resistivity on the whole space (with Sung-Jin Oh) arXiv, 36 pp.
Illposedness for dispersive equations: Degenerate dispersion and Takeuchi–Mizohata condition (with Sung-Jin Oh) arXiv, 54 pp.

Articles in press

On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortex (with Kyudong Choi and Young-Jin Sim) Ann. PDE, to appear. arXiv, 42 pp.
Illposedness via degenerate dispersion for generalized SQG equations with singular velocities (with Dongho Chae and Sung-Jin Oh) Mem. Amer. Math. Soc., to appear. arXiv, 74 pp.
On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations (with Kyudong Choi), BKMS., to appear, 11 pp. arXiv
On vortex stretching for anti-parallel axisymmetric flows (with Kyudong Choi) Amer. J. Math., to appear, 27 pp. arXiv
Global regularity for some axisymmetric Euler flows in R^d (with Kyudong Choi and Deokwoo Lim) Proc. Amer. Math. Soc., to appear, 10 pp. arXiv

Papers in 2025

On the optimal rate of vortex stretching for axisymmetric Euler flows without swirl (with Deokwoo Lim) Arch. Rational Mech. Anal., 249, No. 32, (2025) journal arXiv, 31 pp.
Wellposedness of electron MHD without resistivity for large perturbations of uniform magnetic field (with Sung-Jin Oh) Ann. PDE, 11, No. 14, (2025) journal arXiv, 87 pp.
Well-posedness for Ohkitani model and long-time existence for SQG (with Dongho Chae, Jungkyoung Na and Sung-Jin Oh) Comm. Math Phys., 406 (2025) journal arXiv, 21 pp.
On global regularity of some bi-rotational Euler flows (with Kyudong Choi and Deokwoo Lim) J. Differential Equations, 425 (2025), 627–660 journal arXiv.
On well-posedness of α-SQG equations in the half-plane (with Junha Kim and Yao Yao) Trans. Amer. Math. Soc., 378 (2025), 421–446 journal arXiv.

Papers in 2024

Twisting in Hamiltonian Flows and Perfect Fluids (with Tarek Elgindi and Theodore Drivas) Invent. Math., 238, 331–370, (2024) journal arXiv.
Global Cauchy problem for the Vlasov–Riesz–Fokker–Planck system near the global Maxwellian (with Young-Pil Choi and Kyungkeun Kang) J. Evol. Equ., (24), no. 67, (2024) journal
Logarithmic spirals in 2d perfect fluids (with Ayman Said) J. Ec. polytech. Math., Tome 11 (2024), 655–682 journal arXiv
Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations (with Jungkyoung Na and Tsuyoshi Yoneda) Nonlinearity, 37 (2024), no. 5 journal arXiv
Strong ill-posedness of SQG in critical Sobolev spaces (with Junha Kim) Anal. PDE., 17 (2024), No. 1, 133–170. journal arXiv
Well-posedness and singularity formation for Vlasov–Riesz system (with Young-Pil Choi) Kinet. Relat. Models, (2024), 17(3), 489–513. journal arXiv

Papers in 2023

Axi-symmetric solutions active vector models generalizing 3D Euler and electron–MHD (with Dongho Chae and Kyudong Choi) Nonlinear Anal., RWA 74 (2023). journal arXiv
On evolution of corner-like gSQG patches (with Junekey Jeon) J. Math. Fluid Mech., 25 (2023), Paper No. 35, 10 pp. journal arXiv
Filamentation near Hill's vortex (with Kyudong Choi) Comm. Partial Differential Equations, 48 (2023), no. 1, 54–85. journal arXiv
Time periodic solutions to a heat equation with linear forcing and boundary conditions (with Sun-Chul Kim) J. Korean Math. Soc., 60 (2023), no. 2, 465477. journal
On Singular Vortex Patches, I: Well-posedness Issues (with Tarek Elgindi) Mem. Amer. Math. Soc., 283(1400):1–102, 2023. journal arXiv
Active vector models generalizing 3D Euler and electron–MHD systems (with Dongho Chae) Nonlinearity 36 (2023), no. 1, 458–475. journal arXiv
Preservation of log-Hölder coefficients of the vorticity in the transport equation (with Dongho Chae) J. Differential Equations 343, (2023), 910–918. journal arXiv
Global weak solutions to Vlasov–Manev–Fokker–Planck system (with Young-Pil Choi) Kinet. Relat. Models (2023), 16(1), 41–53. journal arXiv

Papers in 2022

Stability of monotone vorticities in the half cylinder and infinite perimeter growth (with Kyudong Choi and Deokwoo Lim) J. Nonlinear Sci., 32 (2022), no. 6. journal arXiv
Stability and instability of Kelvin waves (with Kyudong Choi) Calc. Var. PDE, 61 (2022), 221, 38 pp. journal arXiv
A simple proof of ill-posedness for incompressible Euler equations in critical Sobolev spaces (with Junha Kim) J. Funct. Anal., 283 (2022), no. 10, 34 pp. journal arXiv
On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I (with Sung-Jin Oh) Ann. PDE. 8, 15 (2022), 106 pp. journal arXiv
Wellposedness and singularity for inviscid Keller–Segel–fluid system of consumption type (with Kyungkeun Kang) Comm. Math Phys., 390, 1175–1217 (2022). journal arXiv
Anomalous Dissipation in Passive Scalar Transport (with Tarek Elgindi, Theodore Drivas, and Gautam Iyer) Arch. Rational Mech. Anal., 243 (2022), no. 3, 1151–1180 journal arXiv
Quasi-stream vortices and enhanced dissipation for incompressible 3D Navier–Stokes (with Tsuyoshi Yoneda) Proc. Amer. Math. Soc., 150 (2022), no. 3, 1279–1286. journal arXiv
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole (with Kyudong Choi) Nonlinear Anal., Real World Appl. 65 (2022). journal arXiv
On well-posedness and singularity formation for the Euler–Riesz system (with Young-Pil Choi) J. Differential Equations, 306 (2022), no 5, 296–332. journal arXiv

Papers in 2021

The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain (with Tarek Elgindi) Adv. Math., 393 (2021), 63 pp. journal arXiv
Relaxation to fractional porous medium equation from Euler–Riesz system (with Young-Pil Choi) J. Nonlinear Sci., 31 (2021), no. 6, Paper No. 95, 12 pp. journal arXiv
Loss of regularity for the 2D Euler equations J. Math. Fluid Mech., 23 (2021), no. 4, Paper No. 95, 11 pp. journal arXiv
Vortex stretching and a modified zeroth law for the incompressible 3D Navier–Stokes equations (with Tsuyoshi Yoneda) Math. Ann., (2021), 380(3), 2041–2072 journal arXiv
Classical solutions to the fractional porous medium flow (with Young-Pil Choi) Nonlinear Anal., 210 (2021), 112393, 13 pp. journal arXiv
Enstrophy dissipation and vortex thinning for the incompressible 2D Navier–Stokes equations (with Tsuyoshi Yoneda) Nonlinearity, (2021), no. 4, 1837–1853. journal arXiv
Growth of perimeter for vortex patches (with Kyudong Choi) Appl. Math. Lett, (2021), 106857, 9 pp. journal arXiv

Papers in 2020

On Singular Vortex Patches, II: Long-time dynamics (with Tarek Elgindi) Trans. Amer. Math. Soc. 373 (2020), no. 9, 6757–6775. journal arXiv
On stationary solutions and inviscid limits for generalized Constantin–Lax–Majda equation with O(1) forcing (with Sun-Chul Kim) Nonlinearity 33 (2020), no. 12, 6662–6694 journal
Finite-time Singularity Formation for Strong Solutions to the Boussinesq System (with Tarek Elgindi) Ann. PDE. 6 (2020), no. 1, Paper No. 5, 50 pp. journal arXiv
On the Effects of Advection and Vortex Stretching (with Tarek Elgindi) Arch. Rational Mech. Anal. 235 (2020), no. 3, 1763–1817. journal arXiv
Symmetries and Critical Phenomena in Fluids (with Tarek Elgindi) Comm. Pure Appl. Math. 73 (2020), no. 2, 257–316. journal arXiv

Papers before 2019

On the stationary solutions and inviscid limit for the generalized Proudman–Johnson with O(1)–forcing (with Sun-Chul Kim) J. Math. Anal. Appl. 472 (2019), no. 1, 842–863 journal
Self-similar solutions for dyadic models of the Euler equations J. Differential Equations 266 (2019), no. 11, 7197–7204. journal arXiv
Finite-time Singularity Formation for Strong Solutions to the axi-symmetric 3D Euler Equations (with Tarek Elgindi) Ann. PDE. 5 (2019), no. 2, Paper No. 16, 51 pp journal arXiv
Outer Billiards with Contraction: Regular Polygons Dyn. Syst. 33 (2018), no. 4, 565–580. journal arXiv
Ill-posedness for the incompressible Euler equations in critical Sobolev spaces (with Tarek Elgindi) Ann. PDE. 3 (2017), no. 1, Paper No. 7, 19 pp. journal arXiv
Discrete Schrödinger equation and ill-posedness for the Euler equation (with Benoit Pausader) Discrete Contin. Dyn. Syst. 37 (2017), no. 1, 281–293. journal
A Limit theorem for stochastically decaying partitions at the edge (with Sasha Sodin) Random Matrices Theory Appl. 5 (2016), no. 4, 1650016, 36 pp. journal arXiv
A Blow-Up Result for Dyadic Models of the Euler Equations (with Dong Li) Comm. Math Phys. 337 (2015), no. 2, 1027–1034. journal arXiv
Outer Billiards with Contraction: Attracting Cantor Sets Exp. Math. 24 (2015), no. 1, 53–64. journal arXiv
Gale–Robinson sequences and brane tilings (with Gregg Musiker and Sicong Zhang) Discrete Math. Theor. Comput. Sci. Proc. (2013) journal