Limiting behavior of quasilinear wave equations with fractional-type dissipation

Authors: Kaltenbacher Barbara, Meliani Mostafa, Nikolić Vanja

Source: Advanced Nonlinear Studies, Vol 24, Iss 3, Pp 748-774 (2024)

Subject Terms: quasilinear wave equations, westervelt’s equation, fractional dissipation, well-posedness, singular limits, 35l05, 35l72, 35r11, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2169-0375

Access URL: https://doaj.org/article/8555c86ff81a4ab28768b79314faa7bd

Reconstruction of space-dependence and nonlinearity of a reaction term in a subdiffusion equation

Authors: Kaltenbacher, Barbara, Rundell, William

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2502.21243

Forward and Inverse Problems in Nonlinear Acoustics

Authors: Kaltenbacher, Barbara

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2502.08194

Acoustic nonlinearity parameter tomography with the Jordan-Moore-Gibson-Thompson equation in frequency domain

Authors: Kaltenbacher, Barbara

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2502.05810

On the optimal choice of the illumination function in photoacoustic tomography

Authors: Huynh, Phuoc-Truong, Kaltenbacher, Barbara

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Optimization and Control, 35R30, 35R11, 35L20, 62F15

Access URL: http://arxiv.org/abs/2411.06609

Well-posedness of the time-periodic Jordan-Moore-Gibson-Thompson equation

Authors: Kaltenbacher, Barbara

Subject Terms: Mathematics - Analysis of PDEs, 35C09, 35L05, 35L70

Access URL: http://arxiv.org/abs/2409.05355

Existence, Uniqueness, and Numerical Solutions of the Nonlinear Periodic Westervelt Equation

Authors: Rainer, Benjamin, Kaltenbacher, Barbara

Subject Terms: Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2407.17043

Existence of solutions to k-Wave models of nonlinear ultrasound propagation in biological tissue

Authors: Cox, Ben, Kaltenbacher, Barbara, Nikolić, Vanja, Lucka, Felix

Subject Terms: Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2405.20894

A first order in time wave equation modeling nonlinear acoustics

Authors: Kaltenbacher, Barbara, Lehner, Pascal

Subject Terms: Mathematics - Analysis of PDEs, 35L60, 35L50

Access URL: http://arxiv.org/abs/2404.11250

Convergence rates under a range invariance condition with application to electrical impedance tomography

Authors: Kaltenbacher, Barbara

Subject Terms: Mathematics - Numerical Analysis, 65J22, 65N21, 35R30

Access URL: http://arxiv.org/abs/2403.18704

Capabilities of inverse scheme for acoustic source localization at low frequencies

Authors: Gombots Stefan, Kaltenbacher Manfred, Kaltenbacher Barbara

Source: Acta Acustica, Vol 5, p 44 (2021)

Subject Terms: source identification, inverse scheme, beamforming, Acoustics in engineering. Acoustical engineering, TA365-367, Acoustics. Sound, QC221-246

File Description: electronic resource

Relation: https://acta-acustica.edpsciences.org/articles/aacus/full_html/2021/01/aacus210009/aacus210009.html; https://doaj.org/toc/2681-4617

Access URL: https://doaj.org/article/ef1c6978e4e74a93a6fa71dae91ca755

Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems

Authors: Kartmann, Michael, Keil, Tim, Ohlberger, Mario, Volkwein, Stefan, Kaltenbacher, Barbara

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Optimization and Control, 35R30 (Primary) 14F05, 49M41, 65N30, 49M20 (Secondary)

Access URL: http://arxiv.org/abs/2309.07627

Well-posedness of a Nonlinear Acoustics -- Structure Interaction Model

Authors: Kaltenbacher, Barbara, Tuffaha, Amjad

Subject Terms: Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2308.11274

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Uniqueness of some space dependent coefficients in a wave equation of nonlinear acoustics

Authors: Kaltenbacher, Barbara

Subject Terms: Mathematics - Analysis of PDEs, Primary: 35R30, Secondary: 35B30, 35Q99

Access URL: http://arxiv.org/abs/2305.04110

Nonlinearity parameter imaging in the frequency domain

Authors: Kaltenbacher, Barbara, Rundell, William

Subject Terms: Mathematics - Numerical Analysis, 35R30, 35L70, 78A46

Access URL: http://arxiv.org/abs/2303.09796

The vanishing relaxation time behavior of multi-term nonlocal Jordan-Moore-Gibson-Thompson equations

Authors: Kaltenbacher, Barbara, Nikolić, Vanja

Subject Terms: Mathematics - Analysis of PDEs, 35L75, 35B25

Access URL: http://arxiv.org/abs/2302.06196

On the simultanenous identification of the nonlinearity coefficient and the sound speed in the Westervelt equation

Authors: Kaltenbacher, Barbara, Rundell, William

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Analysis of PDEs, 35R30, 35R11, 35L70, 78A46

Access URL: http://arxiv.org/abs/2210.08063

Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance

Authors: Kaltenbacher, Barbara

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2209.12596