3 papers
Solving Riemann Problems with a Topological Tool (Extended version)
Cesar S. Eschenazi, Wanderson J. Lambert, Marlon M. López-Flores +3
In previous work, we developed a topological framework for solving Riemann initial-value problems for a system of conservation laws. Its core is a differentiable manifold, called t…
Decomposition of the Wave Manifold into Lax Admissible Regions and its Application to the Solution of Riemann Problems
Cesar S. Eschenazi, Wanderson J. Lambert, Marlon M. López-Flores +2
We utilize a three-dimensional manifold to solve Riemann Problems that arise from a system of two conservation laws with quadratic flux functions. Points in this manifold represent…
Final-state, Open-loop Control of Parabolic PDEs with Dirichlet Boundary Conditions
Gilberto O. Corrêa, Marlon M. López-Flores, Alexandre L. Madureira
In this paper, a quadratic optimal control problem is considered for second-order parabolic PDEs with homogeneous Dirichlet boundary conditions, in which the "point" control functi…