We consider the abstract MGT Fourier system {u(ttt) + alpha u(tt) + beta A(rho)u(t) + gamma A(rho)u = eta A theta theta(t) + kappa A theta = -eta Au-tt - eta alpha Au-t in the subcritical regime beta > gamma/alpha, where the operator A is strictly positive selfadjoint. For any fixed rho is an element of [1, 2], we show that the associated solution semigroup S(t) is analytic and exponentially stable as well.
On the analyticity of the abstract MGT-Fourier system
Filippo Dell'Oro;Vittorino Pata
2023-01-01
Abstract
We consider the abstract MGT Fourier system {u(ttt) + alpha u(tt) + beta A(rho)u(t) + gamma A(rho)u = eta A theta theta(t) + kappa A theta = -eta Au-tt - eta alpha Au-t in the subcritical regime beta > gamma/alpha, where the operator A is strictly positive selfadjoint. For any fixed rho is an element of [1, 2], we show that the associated solution semigroup S(t) is analytic and exponentially stable as well.File in questo prodotto:
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