Variational solutions of stationary Hamilton-Jacobi equations.
Iftode, Vasile (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Iftode, Vasile (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Benoît Perthame, Stephane Génieys (2010)
Mathematical Modelling of Natural Phenomena
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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...
J.J. Modi, J.D. Pryce (1985)
Numerische Mathematik
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