18 citations · 19 across the 6 of their papers we have counts for
6 papers
A free boundary problem driven by boundary distance in the coincidence set
Amal Alphonse, Marcelo Bongarti, Enrico Valdinoci
We study a free boundary problem of minimising a functional containing a non-local term rewarding depth into the zero phase: for on a bounded, open set $Ω\subset\mat…
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…
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…
Boundary Stabilization of the linear MGT equation with Feedback Neumann control
Marcelo Bongarti, Irena Lasiecka
The Jordan-Moore-Gibson-Thompson (JMGT)\cite{christov_heat_2005,jordan_nonlinear_2008,straughan_heat_2014} equation is a benchmark model describing propagation of nonlinear acousti…
Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics
Marcelo Bongarti, Sutthirut Charoenphon, Irena Lasiecka
The (third-order in time) JMGT equation \cite{Jordan2,HCP} is a nonlinear (quasi-linear) Partial Differential Equation (PDE) model introduced to describe a nonlinear propagation of…
Singular Thermal Relaxation Limit for the Moore-Gibson-Thompson Equation Arising in Propagation of Acoustic Waves
Marcelo Bongarti, Sutthirut Charoenphon, Irena Lasiecka
Moore-Gibson-Thompson (MGT) equations, which describe acoustic waves in a heterogeneous medium, are considered. These are the third order in time evolutions of a predominantly hype…