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Dr. Vaibhav Kukreja

Vaibhav Kukreja

Naval Postgraduate School
Center for Decision, Risk, Controls & SigInt (DRCSI)
Herrmann Hall West, Room 411W
Monterey, CA, USA

Office: +1 831-656-6109
Email vkukreja at nps dot edu

About me

Since March 2013, I am a National Council Research Fellow at the Naval Postgradaute School, working with Professor Sritharan.. From July 2012 to February 2013, I was a Postdoctoral Fellow at IMPA (Brazil), under the supervision of Hermano Frid. Before this, I was a graduate student at Northwestern University (USA), advised by Gui-Qiang G. Chen (University of Oxford, United Kingdom).

My research interests are in Hyperbolic conservation laws, Nonlinear PDEs of mixed type, Free boundary problems, and Nonlinear Control theory. Currently I am working on compressible Euler equations, particularly on projects involving periodic solutions in relativistic gas dynamics, supersonic and transonic flows. Here is my CV .


Papers

 L1-Stability of Vortex Sheets and Entropy Waves in Steady Compressible Supersonic Euler Flows over Lipschitz Walls (with Gui-Qiang Chen), Submitted (2012).

Stability of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows (with Gui-Qiang Chen and Hairong Yuan), Submitted (2012).

Well-Posedness of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows (with Gui-Qiang Chen and Hairong Yuan), Submitted (2012).

On the Well-Posedness of Two Strong Vortex Sheets/Entropy Waves in Two-Dimensional Steady Compressible Euler Flows (with Gui-Qiang Chen), Preprint (2012), to be Submitted.


Presentations

 SIAM Conference on Analysis of Partial Differential Equations, San Diego, California, 14-17 November 2011.

 Nonlinear PDE's@IMPA, Brazil, 30 July-3 August, 2012.


Links

Math Genealogy Project
arXiv
DRCSI Homepage


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