0000000000749945

AUTHOR

Delio Mugnolo

showing 1 related works from this author

Quantum graphs with mixed dynamics: the transport/diffusion case

2013

We introduce a class of partial differential equations on metric graphs associated with mixed evolution: on some edges we consider diffusion processes, on other ones transport phenomena. This yields a system of equations with possibly nonlocal couplings at the boundary. We provide sufficient conditions for these to be governed by a contractive semigroup on a Hilbert space naturally associated with the system. We show that our setting is also adequate to discuss specific systems of diffusion equations with boundary delays.

Statistics and ProbabilityPhysicsPartial differential equationSemigroupMathematical analysis34B45 47D06 47N50Hilbert spaceFOS: Physical sciencesGeneral Physics and AstronomyBoundary (topology)Statistical and Nonlinear PhysicsMathematical Physics (math-ph)System of linear equationssymbols.namesakeMathematics - Analysis of PDEsModeling and SimulationQuantum graphFOS: MathematicssymbolsDiffusion (business)Transport phenomenaMathematical PhysicsAnalysis of PDEs (math.AP)
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