Juhi Jang is interested in the analysis of partial differential equations arising from fluid mechanics and kinetic theory with a focus on physical phenomena driven by gravity and diffusion. Her recent research interests include stability theory of compressible fluids, hydrodynamic limit from kinetic theory, and boundary value problems for Fokker-Planck equations.
- 2007 Ph.D. Mathematics, Brown University
- 2007 - 2008 Visiting member, Institute for Advanced Study
- 2008 - 2010 Courant Instructor, New York University
- 2010 - 2014 Assistant Professor, University of California Riverside
- 2014 - 2015 Associate Professor, University of California Riverside
- 2015 - 2016 von Neumann fellow, Institute for Advanced Study
- 2015 - 2020 Associate Professor, University of Southern California
- 2020 - present Professor, University of Southern California
Publications at KIAS
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EXISTENCE OF ROTATING STARS WITH VARIABLE ENTROPY
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023 -
Naked Singularities in the Einstein-Euler System
ANNALS OF PDE, 2023 -
Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023 -
opPINN: Physics-informed neural network with operator learning to approximate solutions to the Fokker-Planck-Landau equation
JOURNAL OF COMPUTATIONAL PHYSICS, 2023 -
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022 -
Larson-Penston Self-similar Gravitational Collapse
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021 -
GLOBAL EXPANDING SOLUTIONS OF COMPRESSIBLE EULER EQUATIONS WITH SMALL INITIAL DENSITIES
QUARTERLY OF APPLIED MATHEMATICS, 2021 -
Global existence of the nonisentropic compressible Euler equations with vacuum boundary surrounding a variable entropy state
NONLINEARITY, 2021 -
Continued Gravitational Collapse for Newtonian Stars
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021 -
Linearized analysis of barotropic perturbations around spherically symmetric gaseous stars governed by the Euler-Poisson equations
JOURNAL OF MATHEMATICAL PHYSICS, 2020 -
Existence of rotating magnetic stars
PHYSICA D-NONLINEAR PHENOMENA, 2019 -
A Class of Global Solutions to the Euler-Poisson System
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019 -
On rotating axisymmetric solutions of the Euler-Poisson equations
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019 -
ON THE STRUCTURE OF THE SINGULAR SET FOR THE KINETIC FOKKER-PLANCK EQUATIONS IN DOMAINS WITH BOUNDARIES
QUARTERLY OF APPLIED MATHEMATICS, 2019 -
Nonuniqueness for the Kinetic Fokker-Planck Equation with Inelastic Boundary Conditions
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019 -
Expanding large global solutions of the equations of compressible fluid mechanics
INVENTIONES MATHEMATICAE, 2018 -
Nonlinear Stability of Expanding Star Solutions of the Radially Symmetric Mass-Critical Euler-Poisson System
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2018 -
On Slowly Rotating Axisymmetric Solutions of the Euler-Poisson Equations
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017
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- School of Mathematics, Korea Institute for Advanced Study
- 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea.