 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 NavierStokes equations in domains with very tiny holes,
(with Sebastian Schwarzacher),
Journal of Differential Equations, Volume 265, Issue 4, 15 August 2018, Pages 13711406 , pdf.  Weakstrong uniqueness for the compressible NavierStokes equations with a hardsphere pressure law,
(with Eduard Feireisl and Antonin Novotny),
SCIENCE CHINA Mathematics, doi: 10.1007/s1142501792727 , pdf .  Relative Entropy, WeakStrong Uniqueness, and Conditional Regularity for a Compressible OldroydB Model,
(with Zhifei Zhang),
SIAM Journal on Mathematical Analysis, 50 (2018), no. 1, 557590 , pdf.  Existence of largedata finiteenergy global weak solutions to a compressible OldroydB model,
(with John W. Barrett and Endre Suli),
Communications in Mathematical Sciences, Volume 15, Number 5, (2017), 12651323 , pdf.  Higher order asymptotic analysis of the nonlinear KleinGordon equation in the nonrelativistic limit regime,
(with Zhifei Zhang),
Asymptotic Analysis, vol. 102, no. 34, 2017,157175, pdf .  The inverse of the divergence operator on perforated domains with
applications to homogenization problems for the compressible
NavierStokes system,
(with Lars Diening and Eduard Feireisl),
ESAIM: Control, Optimisation and Calculus of Variations, 23 (3) (2017), 851868. , 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 NavierStokesFokkerPlanck systems with variable viscosity coefficients,
(with Eduard Feireisl and Endre Suli),
Journal of Mathematical Analysis and Applications 443(1) (2016) 322351, 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, 245283, pdf.  On PDE analysis of flows of quasiincompressible fluids,
(with Eduard Feireisl and Josef Malek),
Zeitschrift fur Angewandte Mathematik und Mechanik, 96(4) (2016) 491508, pdf.  Higherorder resonances and instability of highfrequency WKB solutions,
Journal of Differential Equations, 260(3) (2016) 22962353, pdf.  Homogenization of stationary NavierStokes equations in domains with tiny holes,
(with Eduard Feireisl),
Journal of Mathematical Fluid Mechanics, 17(2) (2015), 381392, pdf.  A stability criterion for highfrequency 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) 1118, pdf .  Highfrequency limit of the MaxwellLandauLifshitz system in the diffractive optics regime,
Asymptotic Analysis, 82, no.12, (2013), 109137, pdf . 
Harmonic Analysis , 20172018.
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