2 papers
math.AP2026
Multi parameter identification in the nonlinear periodic Westervelt equation
Benjamin Rainer, Barbara Kaltenbacher
Nonlinear ultrasound imaging leverages harmonic wave generation to enhance contrast and spatial resolution beyond the capabilities of conventional linear techniques. This behavior…
math.AP2024
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…