7 papers
On the Jordan-Moore-Gibson-Thompson equation of nonlinear acoustics
Barbara Kaltenbacher
The JMGT equation was put forward by Pedro Jordan~\cite{jordan2008nonlinear,jordan2014second}, also referring to earlier work by Moore and Gibson~\cite{moore1960propagation}, as we…
On uniqueness of coefficient identification in the Bloch-Torrey equation for magnetic resonance imaging
Barbara Kaltenbacher
In this paper we provide some uniqueness results for the (multi-)coefficient identification problem of reconstructing the spatially varying spin density as well as the spin-lattice…
Existence, uniqueness, and numerical solutions of the nonlinear periodic Westervelt equation
Benjamin Rainer, Barbara Kaltenbacher
In this paper, we study the nonlinear periodic Westervelt equation with excitations located within a bounded domain in , where , subject to Robin bound…
Imaging nonlinearity coefficient and sound speed with the JMGT equation in frequency domain
Barbara Kaltenbacher
In this paper we prove uniqueness and stability of reconstruction of two coefficients (sound speed and nonlinearity parameter) in the Jordan-Moore-Gibson-Thompson JMGT equation of…
Optimization of a Nonlinear Acoustics -- Structure Interaction Model
Barbara Kaltenbacher, Amjad Tuffaha
In this paper, we consider a control/shape optimization problem of a nonlinear acoustics-structure interaction model of PDEs, whereby acoustic wave propagation in a chamber is gove…
Acoustic nonlinearity parameter tomography with the Jordan-Moore-Gibson-Thompson equation in frequency domain
Barbara Kaltenbacher
This paper aims to combine the advantages of the Jordan-Moore-Gibson-Thompson JMGT equation as an advanced model in nonlinear acoustics with a frequency domain formulation of the f…