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math.AP2021★ 1 cited
Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumann-undissipated part of the boundary
Marcelo Bongarti, Irena Lasiecka
Boundary feedback stabilization of a critical, nonlinear Jordan--Moore--Gibson--Thompson (JMGT) equation is considered. JMGT arises in modeling of acoustic waves involved in medica…
math.AP2021
Boundary stabilization of the linear MGT equation with partially absorbing boundary data and degenerate viscoelasticity
Marcelo Bongarti, Irena Lasiecka, José Henrique Rodrigues
The Jordan--Moore--Gibson--Thompson (JMGT) equation is a well-established and recently widely studied model for nonlinear acoustics (NLA). It is a third-order (in time) semilinear…