Kaltenbacher, Barbara; Rundell, William On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation. (English) Zbl 1527.35494 Inverse Probl. 39, No. 10, Article ID 105001, 18 p. (2023). MSC: 35R30 35L35 65M32 76Q05 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{W. Rundell}, Inverse Probl. 39, No. 10, Article ID 105001, 18 p. (2023; Zbl 1527.35494) Full Text: DOI arXiv
Kaltenbacher, Barbara; Nikolić, Vanja Time-fractional Moore-Gibson-Thompson equations. (English) Zbl 1491.35433 Math. Models Methods Appl. Sci. 32, No. 5, 965-1013 (2022). MSC: 35R11 35L72 76Q05 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{V. Nikolić}, Math. Models Methods Appl. Sci. 32, No. 5, 965--1013 (2022; Zbl 1491.35433) Full Text: DOI arXiv
Kaltenbacher, Barbara; Nikolić, Vanja Parabolic approximation of quasilinear wave equations with applications in nonlinear acoustics. (English) Zbl 1485.35296 SIAM J. Math. Anal. 54, No. 2, 1593-1622 (2022). MSC: 35L72 35L20 35B40 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{V. Nikolić}, SIAM J. Math. Anal. 54, No. 2, 1593--1622 (2022; Zbl 1485.35296) Full Text: DOI arXiv
Kaltenbacher, Barbara Periodic solutions and multiharmonic expansions for the Westervelt equation. (English) Zbl 1476.35131 Evol. Equ. Control Theory 10, No. 2, 229-247 (2021). MSC: 35L05 35B10 PDFBibTeX XMLCite \textit{B. Kaltenbacher}, Evol. Equ. Control Theory 10, No. 2, 229--247 (2021; Zbl 1476.35131) Full Text: DOI
Kaltenbacher, Barbara; Rundell, William On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. (English) Zbl 1472.35453 Inverse Probl. Imaging 15, No. 5, 865-891 (2021). MSC: 35R30 35K58 35L20 35L72 76Q05 78A46 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{W. Rundell}, Inverse Probl. Imaging 15, No. 5, 865--891 (2021; Zbl 1472.35453) Full Text: DOI arXiv
Kaltenbacher, Barbara; Nikolić, Vanja The Jordan-Moore-Gibson-Thompson equation: well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time. (English) Zbl 1427.35206 Math. Models Methods Appl. Sci. 29, No. 13, 2523-2556 (2019). MSC: 35Q35 76Q05 35B40 35L72 35L80 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{V. Nikolić}, Math. Models Methods Appl. Sci. 29, No. 13, 2523--2556 (2019; Zbl 1427.35206) Full Text: DOI arXiv
Kaltenbacher, Barbara; Shevchenko, Igor Well-posedness of the Westervelt equation with higher order absorbing boundary conditions. (English) Zbl 1421.35246 J. Math. Anal. Appl. 479, No. 2, 1595-1617 (2019). MSC: 35Q30 76Q05 35A01 35S05 76N10 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{I. Shevchenko}, J. Math. Anal. Appl. 479, No. 2, 1595--1617 (2019; Zbl 1421.35246) Full Text: DOI Link
Kaltenbacher, Barbara; Thalhammer, Mechthild Fundamental models in nonlinear acoustics. I: Analytical comparison. (English) Zbl 1421.35226 Math. Models Methods Appl. Sci. 28, No. 12, 2403-2455 (2018). MSC: 35L72 35L77 76Q05 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{M. Thalhammer}, Math. Models Methods Appl. Sci. 28, No. 12, 2403--2455 (2018; Zbl 1421.35226) Full Text: DOI arXiv
Nikolić, Vanja; Kaltenbacher, Barbara Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy. (English) Zbl 1378.49051 Appl. Math. Optim. 76, No. 2, 261-301 (2017). MSC: 49Q12 90C31 49S05 92C50 92C55 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Kaltenbacher}, Appl. Math. Optim. 76, No. 2, 261--301 (2017; Zbl 1378.49051) Full Text: DOI arXiv
Nikolić, Vanja; Kaltenbacher, Barbara On higher regularity for the westervelt equation with strong nonlinear damping. (English) Zbl 1353.35093 Appl. Anal. 95, No. 12, 2824-2840 (2016). MSC: 35B65 35L20 35L71 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Kaltenbacher}, Appl. Anal. 95, No. 12, 2824--2840 (2016; Zbl 1353.35093) Full Text: DOI arXiv
Shevchenko, Igor; Kaltenbacher, Barbara Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation. (English) Zbl 1349.76794 J. Comput. Phys. 302, 200-221 (2015). MSC: 76Q05 76M10 65M60 35L75 35Q35 PDFBibTeX XMLCite \textit{I. Shevchenko} and \textit{B. Kaltenbacher}, J. Comput. Phys. 302, 200--221 (2015; Zbl 1349.76794) Full Text: DOI Link
Kaltenbacher, Barbara; Shevchenko, Igor Absorbing boundary conditions for the Westervelt equation. (English) Zbl 1339.35158 Discrete Contin. Dyn. Syst. 2015, Suppl., 1000-1008 (2015). MSC: 35L20 35C07 35L70 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{I. Shevchenko}, Discrete Contin. Dyn. Syst. 2015, 1000--1008 (2015; Zbl 1339.35158) Full Text: DOI arXiv
Kaltenbacher, Barbara Mathematics of nonlinear acoustics. (English) Zbl 1339.35003 Evol. Equ. Control Theory 4, No. 4, 447-491 (2015). MSC: 35-02 35L72 35L77 35L80 35B40 49K20 49Q10 76Q05 PDFBibTeX XMLCite \textit{B. Kaltenbacher}, Evol. Equ. Control Theory 4, No. 4, 447--491 (2015; Zbl 1339.35003) Full Text: DOI
Brunnhuber, Rainer; Kaltenbacher, Barbara; Radu, Petronela Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling. (English) Zbl 1304.35434 Evol. Equ. Control Theory 3, No. 4, 595-626 (2014). MSC: 35L72 35L20 PDFBibTeX XMLCite \textit{R. Brunnhuber} et al., Evol. Equ. Control Theory 3, No. 4, 595--626 (2014; Zbl 1304.35434) Full Text: DOI arXiv
Brunnhuber, Rainer; Kaltenbacher, Barbara Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation. (English) Zbl 1312.35019 Discrete Contin. Dyn. Syst. 34, No. 11, 4515-4535 (2014). MSC: 35B40 35L75 35Q35 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{R. Brunnhuber} and \textit{B. Kaltenbacher}, Discrete Contin. Dyn. Syst. 34, No. 11, 4515--4535 (2014; Zbl 1312.35019) Full Text: DOI arXiv
Kaltenbacher, Barbara; Lasiecka, Irena; Pospieszalska, Maria K. Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound. (English) Zbl 1257.35131 Math. Models Methods Appl. Sci. 22, No. 11, Article ID 1250035, 34 p. (2012). Reviewer: Stephan Fackler (Ulm) MSC: 35L77 35B40 PDFBibTeX XMLCite \textit{B. Kaltenbacher} et al., Math. Models Methods Appl. Sci. 22, No. 11, Article ID 1250035, 34 p. (2012; Zbl 1257.35131) Full Text: DOI
Kaltenbacher, Barbara; Lasiecka, Irena An analysis of nonhomogeneous Kuznetsov’s equation: Local and global well-posedness; exponential decay. (English) Zbl 1235.35040 Math. Nachr. 285, No. 2-3, 295-321 (2012). MSC: 35B40 35A01 35A02 76Q05 35L77 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{I. Lasiecka}, Math. Nachr. 285, No. 2--3, 295--321 (2012; Zbl 1235.35040) Full Text: DOI
Kaltenbacher, Barbara; Lasiecka, Irena; Veljović, Slobodan Well-posedness and exponential decay for the Westervelt equation with inhomogeneous Dirichlet boundary data. (English) Zbl 1250.35145 Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 357-387 (2011). MSC: 35L76 35B40 35L35 PDFBibTeX XMLCite \textit{B. Kaltenbacher} et al., Prog. Nonlinear Differ. Equ. Appl. 80, 357--387 (2011; Zbl 1250.35145) Full Text: DOI
Kaltenbacher, Barbara Boundary observability and stabilization for Westervelt type wave equations without interior damping. (English) Zbl 1207.35206 Appl. Math. Optim. 62, No. 3, 381-410 (2010). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L20 35L70 93B07 35B40 93D15 PDFBibTeX XMLCite \textit{B. Kaltenbacher}, Appl. Math. Optim. 62, No. 3, 381--410 (2010; Zbl 1207.35206) Full Text: DOI