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Full-Text Articles in Other Physical Sciences and Mathematics
Upper, Lower Solutions And Analytic Semigroups For A Model With Diffusion, Yannick T. Kouakep
Upper, Lower Solutions And Analytic Semigroups For A Model With Diffusion, Yannick T. Kouakep
Applications and Applied Mathematics: An International Journal (AAM)
In this discussion we consider an autonomous parabolic epidemic 2-dimensional system modelling the dynamics of transmission of immunizing diseases for a closed population into bounded regular domain. Our model takes into account diffusion of population with external influx as well as one class of infected individuals. We study the well-posedness two-component diffusion equations including external supplies with Neumann conditions using upper/lower solutions and analytic semigroups. In case of constant population or not, with non-oscillatory solution and constant diffusion, this problem admits travelling wave solutions whose minimum wave speed is surveyed here.
Generalized Linear Inversion Using Tau-P Forward Modeling, Stephen Dade Walker
Generalized Linear Inversion Using Tau-P Forward Modeling, Stephen Dade Walker
Graduate Theses
The Generalized Linear Inversion (GLI) method is used in conjunction with a tau-p forward model to successfully perform inversions of test and real-data examples. All data examples used are one-dimensional velocity profiles that represent several different cases. The stability of the technique is demonstrated in all the test-data sets. The use of simple models and wel1-control 1ed test data results in a minimum of iterations of the inversion process. Different levels of perturbation of the model and test-data examples are used to reveal insight into the robust nature of the inversion.