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:: This thesis is an anthology of three works, which each deal with the rigorous justification of a limit of a nonlinear PDE from kinetic theory …
Year:: 2023
Contributor:: Flynn, Patrick (creator); Menon, Govind (Reader); Pausader, Benoit (Advisor); Gomez Serrano, Javier (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Differential equations, Partial; Fluids; Harmonic analysis; Kinetic theory of gases
Collection:: Applied Mathematics; Theses and Dissertations

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