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A 1D Fluid Model On The Circle, An Algorithm For Simulating Dense Crowds, And Stability For Programs With Seminorm Objective And Linear Constraints

Stewart, Samuel
2020-04
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Stewart_umn_0130E_21168.pdf (1.41 MB)

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A 1D Fluid Model On The Circle, An Algorithm For Simulating Dense Crowds, And Stability For Programs With Seminorm Objective And Linear Constraints

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2020-04

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In this thesis, we describe three contributions made to three different fields. First, we prove local stability of solutions to a 1D model equation of the 3D Euler equations. Second, we describe a model of human crowds where people are modeled by ellipses. Finally, we prove local stability of solutions for a family of convex programs.

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University of Minnesota Ph.D. dissertation. April 2020. Major: Mathematics. Advisor: Vladimir Sverak. 1 computer file (PDF); vi, 98 pages.

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Stewart, Samuel. (2020). A 1D Fluid Model On The Circle, An Algorithm For Simulating Dense Crowds, And Stability For Programs With Seminorm Objective And Linear Constraints. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/215090.

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