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Welcome!
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My research interests include Fluid Dynamics, Turbulence, Numerical Computation and Ultrasound Imaging. I received my Ph.D. in Mathematics from the University of Wisconsin - Madison in 2007. My advisor was Prof. Fabian Waleffe. | |
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I have worked on the coherent structures of the 3D Navier-Stokes equations for incompressible flow that arise through saddle-node bifurcations. They come in pairs with an upper branch and a lower branch. We study the steady state solutions and the time evolution of the perturbed solutions in phase space to capture the characteristics of turbulent shear flows and understand the nature of transition to turbulence. | |
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Currently I am working on the artifact-free reconstruction of medical imaging information. Spatial variations of attenuation across tissue layers can result in shadowing and enhancement in ultrasound B-scan images. These artifacts affect the underlying signal backscatter which is the main component of ultrasound images and has clinical significance in detecting diseases and tumors. We have developed a novel joint estimation method for reconstructing the backscatter and attenuation fields. We solve the mathematical inverse problem by formulating a minimization problem with proper regularizations and test the numerical implementation using simulated and real ultrasound images. |