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In this work, we present a low-rank tensor approach for approximating solutions to the nonlinear Vlasov equation. Our method takes advantage of the tensor-friendly nature of the differential operators in the Vlasov equation to dynamically and adaptively construct a low-rank solution basis through the discretization of the equation and an SVD-type truncation procedure. We utilize […] |
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Complex, three dimensional (3D) micro/nanostructures in biology provide sophisticated, essential functions in even the most basic forms of life. Compelling opportunities exist for analogous 3D structures in man-made devices, but existing design options are highly constrained by comparatively primitive capabilities in fabrication and growth. Recent advances in mechanical engineering and materials science provide broad access […] |
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Email jnespos@seas.upenn.edu for the Zoom link. This talk will start by introducing diverse fluid-mechanics research conducted in the Park research group, including complex fluids, electrokinetics, biofluids, transition-to-turbulence, and turbulent flow. I will then focus on two projects at very different flow regimes. For both projects, the modeling, analysis, and computation will be presented along with […] |
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