A system of two linear wave equations with cross friction is a hyperbolic analogue of a system of two linear heat equations with cross diffusion. Such wave equation systems often have illposed initial value problems, but they can have some desirable asymptotic properties on certain closed subspaces of the underlying Hilbert space. Our main result concerns asymptotic equipartition of operator-weighted energy for some nonautonomous cross friction systems
Equipartition of energy for nonautonomous damped wave equations with cross friction
Gisele Ruiz Goldstein;Jerome A. Goldstein;Sandra Lucente;Silvia Romanelli
2025-01-01
Abstract
A system of two linear wave equations with cross friction is a hyperbolic analogue of a system of two linear heat equations with cross diffusion. Such wave equation systems often have illposed initial value problems, but they can have some desirable asymptotic properties on certain closed subspaces of the underlying Hilbert space. Our main result concerns asymptotic equipartition of operator-weighted energy for some nonautonomous cross friction systemsFile in questo prodotto:
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