Contacting Members

Dr Qian Wang

Dr Qian Wang

Dr Qian Wang

PhD

  • Lecturer

eMail: Qian [dot] Wang [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

CV: CV_Wang_2012.pdf

Phone Number(s):

Reception/Secretary: +44 1865 273525
Direct: +441865 615122

Office: RI.1.31

Departmental Address:

Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England

Research Interests: 

My research interest includes  Partial differential equations and harmonic
analysis with a focus on the study of nonlinear hyperbolic equations. I have
been working on Cauchy problem for Einstein equations, including breakdown
criterion, local well-posedness of solution for very rough data, causal geometry
of null hypersurface in Einstein spacetimes.

Major/Recent Publications: 

 Causal geometry of Einstein vacuum spacetimes.Ph.D thesis (.dvi), Princeton University 2006,

 On the geometry of null cones in Einstein Vacuum Spacetimes, Ann.Inst. H. Poincar\`e Anal. Non Lin\'eaire, 26 (2009), no. 1,285--328.

Improved breakdown criterion for Einstein vacuum equation in CMC gauge (.pdf) , Comm. Pure Appl. Math, Vol. 65, Issue 1, 0021-0076 (2012)

On Ricci coefficients of null hypersurfaces with time foliation inEinstein vacuum space-time: Part I (.pdf), Accepted by Calculus of variations and PDE, 2012. (see arXiv:1006.5963)

On Ricci coefficients of null hypersurfaces with time foliation inEinstein vacuum space-time: Part II (.pdf),  submitted. (see arXiv:1006.5963)

Rough solutions of   Einstein vacuum equations in CMCSH gauges (arXiv:1201.0049)(.pdf) submitted

Causal geometry of rough Einstein CMCSH spacetime (.pdf) Preprint 2012 (arXiv:1201.0049)

Sharp local well-posedness  for the quasilinear wave equations by vector field approach,  In preparation.  


Rough solutions of vacuum Einstein equations in CMC gauge: Energy estimates (.pdf) (with Q Jin), Preprint 2010.
Teaching: 

TCC course: Nonlinear wave equations

Friday 1-3 pm

18/Jan/2013 Lecture 1 (.pdf)  

25/Jan/2013 Lecture 2 (.pdf)  

01/Feb/2013 Lecture 3 (.pdf)  

08/Feb/2013 Lecture 4 (.pdf)  

15/Feb/2013 Lecture 5 (.pdf)  

22/Feb/2013 Lecture 6 (.pdf)  

01/March/2013 Lecture 7 (.pdf)  

08/March/2013 Lecture 8 (.pdf)  
Last updated by on Fri, 08/03/2013 - 11:26pm.
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