
- Yong LU
-
Department of Mathematics
Nanjing University
22 Hankou Road, Goulou District
210093, Nanjing
ChinaEmail: luyong(at)nju.edu.cn
I am an Associate Professor at Nanjing University.
Research Interests
My research interests lie within the mathematical analysis of partial differential equations.
Education and Appointment
Publications and preprints
- Uniform estimates for Stokes equations in domains with small holes and applications in homogenization problems,
submitted, 26 pages, pdf. - Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes,
(with Sebastian Schwarzacher),
Journal of Differential Equations, Volume 265, Issue 4, 15 August 2018, Pages 1371-1406 ,     pdf. - Weak-strong uniqueness for the compressible Navier--Stokes equations with a hard-sphere pressure law,
(with Eduard Feireisl and Antonin Novotny),
SCIENCE CHINA Mathematics, doi: 10.1007/s11425-017-9272-7 ,     pdf . - Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd-B Model,
(with Zhifei Zhang),
SIAM Journal on Mathematical Analysis, 50 (2018), no. 1, 557-590 ,     pdf. - Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model,
(with John W. Barrett and Endre Suli),
Communications in Mathematical Sciences, Volume 15, Number 5, (2017), 1265-1323 ,     pdf. - Higher order asymptotic analysis of the nonlinear Klein-Gordon equation in the non-relativistic limit regime,
(with Zhifei Zhang),
Asymptotic Analysis, vol. 102, no. 3-4, 2017,157-175,     pdf . - The inverse of the divergence operator on perforated domains with
applications to homogenization problems for the compressible
Navier-Stokes system,
(with Lars Diening and Eduard Feireisl),
ESAIM: Control, Optimisation and Calculus of Variations, 23 (3) (2017), 851-868. ,     pdf. - On uniform estimates for Laplace equation in balls with small holes,
Calculus of Variations and Partial Differential Equations, 55 (5) (2016), 55:110,     pdf. - Dissipative weak solutions to compressible Navier-Stokes-Fokker-Planck systems with variable viscosity coefficients,
(with Eduard Feireisl and Endre Suli),
Journal of Mathematical Analysis and Applications 443(1) (2016) 322-351,     pdf. - Partially strong transparency conditions and a singular localization method in geometric optics,
(with Zhifei Zhang),
Archive for Rational Mechanics and Analysis, 222(1) 2016, 245-283,     pdf. - On PDE analysis of flows of quasi-incompressible fluids,
(with Eduard Feireisl and Josef Malek),
Zeitschrift fur Angewandte Mathematik und Mechanik, 96(4) (2016) 491-508,     pdf. - Higher-order resonances and instability of high-frequency WKB solutions,
Journal of Differential Equations, 260(3) (2016) 2296-2353,     pdf.- Homogenization of stationary Navier-Stokes equations in domains with tiny holes,
(with Eduard Feireisl),
Journal of Mathematical Fluid Mechanics, 17(2) (2015), 381-392,     pdf.- A stability criterion for high-frequency oscillations,
(with Benjamin Texier),
Memoires de la Societe Mathematique de France, 142 (2015), vii+130 pp,     pdf.- Rotating compressible fluids under strong stratification,
(with Eduard Feireisl and Antonin Novotny),
Nonlinear Analysis: Real World Applications, 19 (2014) 11-18,     pdf . - Homogenization of stationary Navier-Stokes equations in domains with tiny holes,
- High-frequency limit of the Maxwell-Landau-Lifshitz system in the diffractive optics regime,
Asymptotic Analysis, 82, no.1-2, (2013), 109-137,     pdf . -
Harmonic Analysis , 2017-2018.
Notice: The course on Tuesday 29th May is canceled.
Notice: The final exam will be held on 24th June, at the same classroom as the course: Classroom 118.
Teaching
last update: 2018.6