I am interested in analysis, especially partial differential equations. I passed my qualifying exam with major topic PDE/harmonic analysis and minor topic algebraic number theory. I have worked in kinetic theory and am now also interested in fluid dynamics.
- N. Patel and R. Strain, Large Time Decay Estimates for the Muskat Equation, arXiv:1610.05271
- N. Patel, Three New Results on Continuation Criteria for the 3D Relativistic Vlasov-Maxwell System, arXiv:1607.07416
- Peter S. Landweber, Emanuel A. Lazar and Neel Patel, On Fiber Diameters of Continuous Maps, The American Mathematical Monthly, Vol. 123, No. 4 (April 2016), pp. 392-397