Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: In this thesis, we study Prandtl's boundary layer theory for 2D, stationary, incompressible Navier-Stokes flows posed on domains with boundaries. The boundary layer hypothesis posed …
Year:: 2018
Contributor:: Iyer, Sameer S. (creator); Guo, Yan (Advisor); Menon, Govind (Reader); Pausader, Benoit (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Differential equations, Partial; Fluid mechanics; Boundary layer
Collection:: Applied Mathematics; Theses and Dissertations

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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:: In this dissertation, we study regularity theory for equations of $p$-Laplace type. In the first part of the dissertation, we address elliptic and parabolic $p$-Laplace …
Year:: 2024
Contributor:: Zhu, Hanye (creator); Dong, Hongjie (Advisor); Guo, Yan (Reader); Pausader, Benoit (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Applied mathematics
Collection:: Applied Mathematics; Theses and Dissertations

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