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Showing 1 to 6 of 6 for “"Differential equations, Nonlinear"”.

  1. Radial, vortex, and spiral solutions to the nonlinear Schrödinger equation and other reaction--diffusion systems

    This dissertation explores various solutions to nonlinear reaction-diffusion systems, focusing primarily on the nonlinear Schrödinger equation. Three types of solutions are investigated: radial solutions (with no angular dependence), vortex solutions (with angular dependence but no radial phase …

    utc Repository record for Radial, vortex, and spiral solutions to the nonlinear Schrödinger equation and other reaction--diffusion systems (opens in a new tab)

  2. Population models

    … of biological situations through the study of differential equations. It will first explore the interactions of the lynx and hare populations in Canada based on data retrieved by the Hudson Bay Company. The purpose of this study is to find a suitable mathematical model, namely that of a …

    eastern-wash Repository record for Population models (opens in a new tab)

  3. Meandering river dynamics

    … has been described by the meander morphodynamic equations, which dictate that channel curvature and bed topology give rise to local perturbations in streamwise fluid velocity, prompting the preferential erosion and sediment deposition that constitute meander behavior. Previous theoretical work …

    uiuc Repository record for Meandering river dynamics (opens in a new tab)

  4. Nonlinear Methods in the Study of Singular Partial Differential Equations

    Nonlinear singular partial differential equations arise naturally when studying models from such areas as Riemannian geometry, applied probability, mathematical physics and biology. The purpose of this thesis is to develop analytical methods to investigate a large class of nonlinear elliptic PDEs …

    vu-aus Repository record for Nonlinear Methods in the Study of Singular Partial Differential Equations (opens in a new tab)