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A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
(2019-12-15)
We formulate an age-structured three-staged nonlinear partial differential equation model that features nonlinear recidivism to the infected (infectious) class from the temporarily recovered class. Equilibria are computed, ...
Numerical reconstruction of inverse problems for partial differential equations
(Universidad de Chile, 2021)
This thesis is devoted to the study of inverse problems in a numerical approach. We will focus on problems applied to engineering and science, specifically we will study two problems that we will state below:
In the first ...
Mild Solutions To The Time Fractional Navier-stokes Equations In Rn
(Academic Press Inc., 2015)
Equations for the Missing Boundary Values in the Hamiltonian Formulation of Optimal Control Problems
(Springer/Plenum Publishers, 2011-02)
Partial differential equations for the unknown final state and initial costate arising in the Hamiltonian formulation of regular optimal control problems with a quadratic final penalty are found. It is shown that the missing ...
Spin-1 spin–orbit- and Rabi-coupled Bose–Einstein condensate solver
(2021-02-01)
We present OpenMP versions of FORTRAN programs for solving the Gross–Pitaevskii equation for a harmonically trapped three-component spin-1 spinor Bose–Einstein condensate (BEC) in one (1D) and two (2D) spatial dimensions ...
Further Remarks on the Luo-Hou's Ansatz for a Self-similar Solution to the 3D Euler Equations
(2017)
It is shown that the self-similar ansatz proposed by T. Hou and G. Luo to describe a singular solution of the 3D axisymmetric Euler equations leads, without assuming any asymptotic condition on the self-similar profiles, ...