National Institute for Mathematical Sciences

output

20062026

most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing math.APShow all

30 papers · 1 filter

math.AP2024

Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings

Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon +1

We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is…

math.AP2024★ 3 cited

On classification of global dynamics for energy-critical equivariant harmonic map heat flows and radial nonlinear heat equation

Kihyun Kim, Frank Merle

We consider the global dynamics of finite energy solutions to energy-critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that a…

math.AP2024

Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation

Chu-Hee Cho, Daniel Eceizabarrena

We study the problem of pointwise convegence for the Schrödinger operator on $R^{n}$ along time sequences. We show that the sharp counterexample to the sequential Schrödinger…

math.AP2023★ 8 cited

Twisting in Hamiltonian Flows and Perfect Fluids

Theodore D. Drivas, Tarek M. Elgindi, In-Jee Jeong

We introduce a notion of stability for non-autonomous Hamiltonian flows on two-dimensional annular surfaces. This notion of stability is designed to capture the sustained twisting…

math.AP2022★ 4 cited

Stability of monotone, non-negative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches

Kyudong Choi, In-Jee Jeong, Deokwoo Lim

We consider the incompressible Euler equations in the half cylinder $R_{> 0} \times T$ . In this domain, any vorticity which is independent of $x_{2}$ defines a statio…

math.AP2022★ 23 cited

The Wiener criterion for nonlocal Dirichlet problems

Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee

We study the boundary behavior of solutions to the Dirichlet problems for integro-differential operators with order of differentiability $s \in (0, 1)$ and summability $p > 1$ . We es…

math.AP2021★ 1 cited

Uniform Integrability in Periodic Homogenization of Fully Nonlinear Equations

Sunghan Kim

This paper is devoted to the study of uniform $W^{1, \frac{n p}{n - p}}$ - and $W^{2, p}$ -estimates for viscosity solutions to fully nonlinear, uniformly elliptic, periodic homogenizatio…

math.AP2021★ 4 cited

Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model

Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1

Given a measure $ρ$ on a domain $Ω \subset R^{m}$ , we study spacelike graphs over $Ω$ in Minkowski space with Lorentzian mean curvature $ρ$ and Dirichlet boundary condition o…

math.AP2021★ 3 cited

Robust near-diagonal Green function estimates

Moritz Kassmann, Minhyun Kim, Ki-Ahm Lee

We prove sharp near-diagonal pointwise bounds for the Green function $G_{Ω} (x, y)$ for nonlocal operators of fractional order $α \in (0, 2)$ . The novelty of our results is two-fold: the…

math.AP2021★ 16 cited

Strong illposedness for SQG in critical Sobolev spaces

In-Jee Jeong, Junha Kim

We prove that the inviscid surface quasi-geostrophic (SQG) equations are strongly ill-posed in critical Sobolev spaces: there exists an initial data $H^{2}(\bbT^2)$ without any sol…

math.AP2021★ 17 cited

Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type

In-Jee Jeong, Kyungkeun Kang

We consider the Keller-Segel system of consumption type coupled with an incompressible fluid equation. The system describes the dynamics of oxygen and bacteria densities evolving w…

math.AP2021★ 1 cited

Harnack inequality for Nonlocal operators on Manifolds with nonnegative curvature

Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee

We establish the Krylov Safonov Harnack inequalities and Holder estimates for fully nonlinear nonlocal operators of non-divergence form on Riemannian manifolds with nonnegative sec…

math.AP2020★ 12 cited

The relativistic quantum Boltzmann equation near equilibrium

Gi-Chan Bae, Jin Woo Jang, Seok-Bae Yun

The relativistic quantum Boltzmann equation (or the relativistic Uehling-Uhlenbeck equation) describes the dynamics of single-species fast-moving quantum particles. With the recent…

math.AP2020

Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations

Sangdon Jin, Jinmyoung Seok

We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the exi…

math.AP2020★ 1 cited

Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations

Sunghan Kim, Ki-Ahm Lee

This article is concerned with uniform $C^{1, α}$ and $C^{1, 1}$ estimates in periodic homogenization of fully nonlinear elliptic equations. The analysis is based on the compactness…

math.AP2020★ 13 cited

An intrinsic aggregation model on the special orthogonal group $SO (3)$ : well-posedness and collective behaviours

Razvan C. Fetecau, Seung-Yeal Ha, Hansol Park

We investigate an aggregation model with intrinsic interactions on the special orthogonal group $S O (3)$ . We consider a smooth interaction potential that depends on the squared intr…

math.AP2020

Higher integrability in the obstacle problem for the fast diffusion equation

Yumi Cho, Christoph Scheven

We prove local higher integrability of the spatial gradient for solutions to obstacle problems of porous medium type in the fast diffusion case $m < 1$ . The result holds for the natu…

math.AP2019★ 21 cited

A kinetic description for the herding behavior in financial market

Hyeong-Ohk Bae, Seung-Yeon Cho, Jeongho Kim +1

As a continuation of the study of the herding model proposed in (Bae et al. in arXiv:1712.01085, 2017), we consider in this paper the derivation of the kinetic version of the herdi…

math.AP2019★ 4 cited

A Condition for Blow-up solutions to Discrete $p$ -Laplacian Parabolic Equations under the mixed boundary conditions on Networks

Soon-Yeong Chung, Min-Jun Choi, Jaeho Hwang

The purpose of this paper is to investigate a condition \begin{equation*} (C_{p}) \hspace{1cm} α\int_{0}^{u}f(s)ds \leq uf(u)+βu^{p}+γ,\,\,u>0 \end{equation*} for some $α > 2$ , $γ > 0$ …

math.AP2018

Regularity Results of the Thin Obstacle Problem for the $p (x)$ -Laplacian

Sun-sig Byun, Ki-ahm Lee, Jehan Oh +1

We study thin obstacle problems involving the energy functional with $p (x)$ -growth. We prove higher integrability and Hölder regularity for the gradient of minimizers of the thin o…

math.AP2017★ 10 cited

Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in $R^{2}$

Kwangseok Choe, Namkwon Kim, Youngae Lee +1

We consider the Chern-Simons gauge theory of rank $2$ such as $S U (3)$ , $S O (5)$ , and $G_{2}$ Chern-Simons model in $R^{2}$ . There may exist three types of solutions in these th…

math.AP2017

Global Sobolev regularity for general elliptic equations of $p$ -Laplacian type

Sun-Sig Byun, Dian K. Palagachev, Pilsoo Shin

We derive global gradient estimates for $W_{0}^{1, p} (Ω)$ -weak solutions to quasilinear elliptic equations of the form $$ \mathrm{div\,}\mathbf{a}(x,u,Du)=\mathrm{div\,}(|F|^{p-2}F) $…

math.AP2017

Nondivergence elliptic and parabolic problems with irregular obstacles

Sun-Sig Byun, Ki-Ahm Lee, Jehan Oh +1

We prove the natural weighted Calderón and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irr…

math.AP2017★ 2 cited

The Regularity Theory for the Double Obstacle Problem

Ki-ahm Lee, Jinwan Park, Henrik Shahgholian

In this paper, we prove local $C^{1}$ regularity of free boundaries for the double obstacle problem with an upper obstacle $ψ$ , \begin{align*} Δu &=fχ_{Ω(u) \cap\{ u< ψ\} }+ Δψχ_{Ω…