Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: The derivation of fluid equations from the Boltzmann equation is a fundamental problem in kinetic theory. In this paper, we investigate several results concerning the …
Year:: 2025
Contributor:: Jung, Junhwa (creator); Guo, Yan (Advisor); Dong, Hongjie (Reader); Pausader, Benoit (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Differential equations, Partial; Hydrodynamic limit; Kinetic theory of gases
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Consider a (possibly non-Markovian) interacting particle system (IPS) indexed by the nodes of a (possibly random) locally finite graph whose vertices and edges are equipped …
Year:: 2022
Contributor:: Ganguly, Ankan (creator); Ramanan, Kavita (Advisor); Geman, Stuart (Reader); Durrett, Rick (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Stochastic processes; Markov random fields; Hydrodynamic limit; local weak convergence; interacting particle systems
Collection:: Applied Mathematics; Theses and Dissertations

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