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Pre-synopsis Seminar |
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Date |
Wednesday 28 Feb, 1.30 pm |
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Venue |
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Host |
Sivaji Ganesh Sista |
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speaker |
Lalit Kumar |
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Affiliation |
IIT Bombay |
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Title |
Kirchhoff type quasilinear space-time fractional PDE with memory |
Abstract: In this seminar, we discuss three types of Kirchhoff-type PDE with memory involving usual time derivative, fractional time derivative, and fractional Laplacian. In the first half, we focus on well-posedness and regularity results. Then, we derive a semi-discrete error analysis of Galerkin FEM by defining a modified Ritz-Volterra projection operator. Finally, we develop fully discrete formulations and implement some examples to validate the proven theoretical results.