Yong LuPostdoctoral Junior ResearcherMathematical Institute, Charles University in PraguePlace and Year of birth: Henan China in 1984Email : luyong@karlin.mff.cuni.czHomepage : www.karlin.mff.cuni.cz/˜luyong

Domain of researchMy research interests lie within analysis of partial differential equations. I have been working on mainlytwo topics: geometric optics in nonlinear hyperbolic systems and mathematical fluid mechanics.

Employment

SEPTEMBER 2013 -SEPTEMBER 2016

Postdoctoral Junior Researcher in Mathematical Institute at Charles University inPrague. Mentors: Eduard Feireisl and Josef Malek.

Education and diploma

B.S. IN

MATHEMATICS

09/2002 - 07/2006, University of Science and Technology of China.

GRADUATE STUDY 09/2006 - 09/2008, Institute of Mathematics, Chinese Academy of Sciences.Supervisor: Ping Zhang.

MASTER IN

MATHEMATICS

09/2008 - 07/2009, Universite Paris-Diderot (Paris 7). Supervisor: Benjamin Texier.

PH.D IN

MATHEMATICS

10/2009 - 06/2013, Universite Paris-Diderot (Paris 7). Supervisor: Benjamin Texier.

Ph.D ThesisTitle: Asymptotiques haute-frequences pour des systemes hyperboliques d’equations aux derivees

partielles d’ordre un: stabilite et instabilite de solutions approchees.Reporters:

Jean-Francois Coulombel, Universite de Nantes,Jeffrey Rauch, University of Michigan.

Jury:

Thomas Alazard, Ecole Normale Superieure de Paris,Jean-Francois Coulombel, Universite de Nantes,Jean-Marc Delort, Universite Paris 13,Eric Dumas, Universite de Grenoble 1,Isabelle Gallagher, Universite Paris 7,Benjamin Texier, Universite Paris 7.

Teaching (at Universite Pairs 7)

2010 - 2011 TD (Exercise), Algebre et analyse elementaires I.

2011 - 2012 TD (Exercise), Algebre et analyse elementaires I.

2012 - 2013 Cours et TD (Course and exercise), Algebre et analyse elementaires II.

VisitFEBRUARY 2013 Charles University in Prague, one week. Contact: Josef Malek.

MARCH 2013 Universite Grenoble 1, three days. Contact: Eric Dumas.

FEBRUARY 2014 Universite Paris-Diderot (Paris 7), one week. Contact: Isabelle Gallagher.

AUGUST 2014 Institute of Mathematics, CAS, one month. Contact: Ping Zhang.

SEPTEMBER 2014 Universite Paris-Diderot (Paris 7), one week. Contact: Benjamin Texier.

DECEMBER 2014 Peking University, one month. Contact: Zhifei Zhang.

APRIL 2015 Universite Grenoble 1, three days. Contact: Eric Dumas.

JULY 2015 Peking University, one month. Contact: Zhifei Zhang.

AUGUST 2015 Institute of Mathematics, CAS, one month. Contact: Ping Zhang.

JANUARY 2016 Peking University, two weeks. Contact: Zhifei Zhang.

MARCH 2016 Universite de Montpellier, one week. Contact: Matthieu Hillairet.

MAY 2016 Universite de Bordeaux, one week. Contact: Christophe Prange.

JUNE 2016 Peking University, three weeks. Contact: Zhifei Zhang.

JULY 2016 Nankai University, two days. Contact: Chongchun Zeng.

Publications and preprints

1. Yong Lu, High-frequency limit of the Maxwell-Landau-Lifshitz system in the diffractive optics regime,Asymptotic Analysis 82 (2013) 109-137.

2. Yong Lu, Benjamin Texier, A stability criterion for high-frequency oscillations,Memoires de la Societe Mathematique de France, 142 (2015) vii+130 pp.

3. Eduard Feireisl, Yong Lu, Antonın Novotny, Rotating compressible fluids under strong stratification,Nonlinear Analysis: Real World Applications 19 (2014) 11-18.

4. Eduard Feireisl, Yong Lu, Josef Malek, On PDE analysis of flows of quasi-incompressible fluids,Zeitschrift fur Angewandte Mathematik und Mechanik 96 (2016) 491-508.

5. Eduard Feireisl, Yong Lu, Homogenization of stationary Navier-Stokes equations in domains with tinyholes, Journal of Mathematical Fluid Mechanics, 17 (2015) 381-392.

6. Yong Lu, Higher-order resonances and instability of high-frequency WKB solutions,Journal of Differential Equations, 260 (2016) 2296-2353.

7. Lars Diening, Eduard Feireisl, Yong Lu, The inverse of the divergence operator on perforateddomains with applications to homogenization problems for the compressible Navier-Stokes system, ESAIM:Control, Optimisation and Calculus of Variations (2016), doi:10.1051/cocv/2016016.

8. Yong Lu, Zhifei Zhang, Partially strong transparency conditions and a singular localization method ingeometric optics,Archive for Rational Mechanics and Analysis, 222(1) 2016 245-283.

9. Eduard Feireisl, Yong Lu, Endre Suli. Dissipative weak solutions to compressible Navier-Stokes-Fokker-Planck systems with variable viscosity coefficients, Journal of Mathematical Analysis andApplications 443 (2016) 322-351.

10. Yong Lu, On uniform estimates for Laplace equation in balls with small holes, submitted,arXiv:1503.01103, 22 pages.

11. Yong Lu, Zhifei Zhang, Higher order asymptotic analysis of the nonlinear Klein-Gordon equation inthe non-relativistic limit regime, submitted, 20 pages.

12. Yong Lu, Uniform estimates for Stokes equations in domains with small holes and applications inhomogenization problems, submitted, arXiv:1510.01678, 32 pages.

13. (Proceeding) Yong Lu, High-frequency limit of the Maxwell-Landau-Lifshitz system in the diffractiveoptics regime, ESAIM: Proceedings, (35) 2012, 251-256.

Invited talks and lectures

• February 2013: Normal form method and stabilities of WKB solutions, Charles University in Prague.• February 2013: High-frequency instabilities for hyperbolic systems, Institute of Mathematics, Academyof Science of Czech Republic.• March 2013: A stability criterion for high-frequency oscillations, Institut de Fourier, Grenoble, France.• July 2013: A stability criterion for high-frequency oscillations, Institute of Mathematics, ChineseAcademy of Science, Beijing.• March 2014: Rotating compressible fluids under strong stratification, Charles University in Prague.• July 2014: Rotating compressible fluids under strong stratification, Center of Nonlinear Sciences,Northwest University, Xi’an, China.• August 2014: Stability analysis in geometric optics, 4 hours lecture, Peking University, Beijing.• August 2014: Rotating compressible fluids under strong stratification and quasi-incompressible fluids,Morningside Center of Mathematics, Beijing.• October 2014: On PDE analysis of flows of quasi-incompressible fluids, Seminar of project MORE,Charles University in Prague.• November 2014: On PDE analysis of flows of quasi-incompressible fluids, Seminar on partial differentialequations, Institute of Mathematics, Academy of Science of Czech Republic.• December 2014: On PDE analysis of flows of quasi-incompressible fluids, Department of Mathematics,Capital Normal University, Beijing.• March 2015: Homogenization of stationary Navier-Stokes equations in domains with tiny holes, Seminarof project MORE, Charles University in Prague.• April 2015: Homogenization of stationary Navier-Stokes equations in domains with tiny holes, InstitutFourier, Grenoble, France.• August 2015: The inverse of the divergence operator on perforated domains with applications tohomogenization problems for the compressible Navier-Stokes system, Institute of Mathematics, ChineseAcademy of Science, Beijing.• January 2016: Homogenization problems in fluid mechanics, Department of Mathematics, BeihangUniversity, Beijing.• January 2016: Homogenization problems in fluid mechanics, Institute of Mathematics, Chinese Academyof Science, Beijing.

• March 2016: Homogenization problems in fluid mechanics, Universite Montpellier, Montpellier, France.• May 2016: Homogenization problems in fluid mechanics, Universite Bordeaux 1, Bordeaux, France.• 06/2016: Geometric optics and Homogenization problems in fluid mechanics, Chern Institute ofMathematics, Nankai University, Tianjin.• 06/2016: Global weak solutions to a compressible Oldroyd-B model, Institute of Mathematics, ChineseAcademy of Science, Beijing.

Scholarships and Awards

2003 AND 2005 Outstanding Student Awards of University of Science and Technology of China.

2008 - 2009 Fellowship of Foundation Sciences Mathematiques de Paris.

2009 - 2012 Allocation de Recherche of Universite Pierre et Marie Curie (Paris 6).

Language abilities

Chinese (native), English (excellent), French (excellent).