Lagrangian field theory of reaction-diffusion.
It is commonly accepted that reaction-diffusion equations cannot be obtained by a Lagrangian field theory. Guided by the well known connection between quantum and diffusion equations, we implement here a Lagrangian approach valid for totally general nonlinear reacting-diffusing systems which allows the definition of global conserved observables derived using Nöther's theorem.
Cherubini
C
C
Nonlinear Physics and Mathematical Modeling Laboratory, University Campus Bio-Medico, Rome, Italy.
Filippi
S
S
D000818:Animals; D019521:Body Patterning / Q000502:physiology*; D003198:Computer Simulation; D004058:Diffusion; D006128:Growth / Q000502:physiology*; D006801:Humans; D008954:Models, Biological