The Jacobi variational principle revisited
Stanisław L. Bażański (2003)
Banach Center Publications
Similarity:
Displaying similar documents to “Variational solutions of stationary Hamilton-Jacobi equations.”
The Jacobi variational principle revisited
On a gap phenomenon for isoperimetrically constrained variational problems.
Buttazzo, Giuseppe, Mizel, Victor J. (1995)
Journal of Convex Analysis
Similarity:
Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
Benoît Perthame, Stephane Génieys (2010)
Mathematical Modelling of Natural Phenomena
Similarity:
The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence...
GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type
Jean-David Benamou, Philippe Hoch (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.