in this paper the existence, uniqueness and asymptotic Stability for an electromagnetic system with dissipative boundary conditions with memory are studied. For asymptotic Stability it is crucial that the system satisfies the Second Law of Thermodynamics, which we will prove to be connected with the cosine Fourier transform of the kernel of the fading memory boundary condition.
Bosello, C.A., Fabrizio, M. (2015). Stability and well posedness for a dissipative boundary condition with memory in electromagnetism. APPLIED MATHEMATICS LETTERS, 40, 59-64 [10.1016/j.aml.2014.09.008].
Stability and well posedness for a dissipative boundary condition with memory in electromagnetism
BOSELLO, CARLO ALBERTO;FABRIZIO, MAURO
2015
Abstract
in this paper the existence, uniqueness and asymptotic Stability for an electromagnetic system with dissipative boundary conditions with memory are studied. For asymptotic Stability it is crucial that the system satisfies the Second Law of Thermodynamics, which we will prove to be connected with the cosine Fourier transform of the kernel of the fading memory boundary condition.File in questo prodotto:
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