research overview
- My research interests lie in the mathematical analysis of Partial Differential Equations with a focus on problems arising from fluid mechanics.
- Contact Info
Agrawal, Siddhant Govardhan
Positions
- Assistant Professor, Mathematics
Research Areas
Research
Publications
selected publications
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conference proceeding
- Call Admission Control for Real-time Applications in Wireless Network. IEEE Infocom. 330-334. 2013
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journal article
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Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit.
Memoirs of the American Mathematical Society.
2024
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REFINED RELLICH BOUNDARY INEQUALITIES FOR THE DERIVATIVES OF A HARMONIC FUNCTION.
Proceedings of the American Mathematical Society.
2023
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Rigidity of acute angled corners for one phase Muskat interfaces.
Advances in Mathematics.
2023
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Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner.
Nonlinearity.
2767-2808.
2022
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Angled Crested Like Water Waves with Surface Tension: Wellposedness of the Problem.
Communications in Mathematical Physics.
1409-1526.
2021
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Rigidity of singularities of 2D gravity water waves.
Journal of Differential Equations.
1220-1249.
2020
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Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit.
Memoirs of the American Mathematical Society.
2024
Teaching
courses taught
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MATH 4470 - Partial Differential Equations
Primary Instructor - Fall 2024
Studies initial, boundary, and eigenvalue problems for the wave, heat, and potential equations. Solution by separation of variables, Green's function, and variational methods. Same as MATH 5470. -
MATH 5470 - Partial Differential Equations
Primary Instructor - Fall 2024
Studies initial boundary and eigenvalue problems for the wave, heat and potential equations. Solution by separation of variables, Green's function, and variational methods. Department enforced prerequisite: MATH 3430 or MATH 5430. Instructor consent required for undergraduates. Same as MATH 4470. -
MATH 6310 - Introduction to Real Analysis 1
Primary Instructor - Fall 2024
Develops the theory of Lebesgue measure and the Lebesgue integral on the line, emphasizing the various notions of convergence and the standard convergence theorems. Applications are made to the classical L^p spaces. Department enforced prerequisite: MATH 4001. Instructor consent required for undergraduates.
International Activities
geographic focus
- Spain Country