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Welcome!
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My research interests include Fluid Dynamics and Turbulence, Medical Image Processing and Numerical Analysis. I received my Ph.D. in Mathematics from the University of Wisconsin - Madison. | |
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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 ultrasound imaging information. Spatial variations of attenuation across tissue layers can result in shadowing and enhancement artifacts in ultrasound B-scan images. These artifacts hide underlying echo signals that are truly clinically indicative of diseases and tumors. We have developed a joint estimation method for reconstructing the backscatter and attenuation fields. We solve the mathematical inverse problem by formulating a functional minimization with region-based isotropic regularizations. |