Nikolić, Vanja Nonlinear acoustic equations of fractional higher order at the singular limit. (English) Zbl 07819590 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 30, 33 p. (2024). MSC: 35L75 35B25 PDFBibTeX XMLCite \textit{V. Nikolić}, NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 30, 33 p. (2024; Zbl 07819590) Full Text: DOI arXiv OA License
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
Nikolić, Vanja; Said-Houari, Belkacem Time-weighted estimates for the Blackstock equation in nonlinear ultrasonics. (English) Zbl 07729130 J. Evol. Equ. 23, No. 3, Paper No. 59, 23 p. (2023). MSC: 35Q35 35Q79 76Q05 76K05 76N10 76N30 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, J. Evol. Equ. 23, No. 3, Paper No. 59, 23 p. (2023; Zbl 07729130) Full Text: DOI arXiv
Wilke, Mathias \(L_p-L_q\)-theory for a quasilinear non-isothermal Westervelt equation. (English) Zbl 1512.35160 Appl. Math. Optim. 88, No. 1, Paper No. 13, 24 p. (2023). MSC: 35G61 35B40 35B65 PDFBibTeX XMLCite \textit{M. Wilke}, Appl. Math. Optim. 88, No. 1, Paper No. 13, 24 p. (2023; Zbl 1512.35160) Full Text: DOI arXiv
Nikolić, Vanja; Said-Houari, Belkacem Local well-posedness of a coupled Westervelt-Pennes model of nonlinear ultrasonic heating. (English) Zbl 1500.35100 Nonlinearity 35, No. 11, 5749-5780 (2022). MSC: 35G61 35L71 35K58 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, Nonlinearity 35, No. 11, 5749--5780 (2022; Zbl 1500.35100) Full Text: DOI arXiv
Meliani, Mostafa; Nikolić, Vanja Analysis of general shape optimization problems in nonlinear acoustics. (English) Zbl 1498.35362 Appl. Math. Optim. 86, No. 3, Paper No. 39, 35 p. (2022). MSC: 35L72 35L20 49J20 PDFBibTeX XMLCite \textit{M. Meliani} and \textit{V. Nikolić}, Appl. Math. Optim. 86, No. 3, Paper No. 39, 35 p. (2022; Zbl 1498.35362) Full Text: DOI arXiv
Nikolić, Vanja; Said-Houari, Belkacem The Westervelt-Pennes model of nonlinear thermoacoustics: global solvability and asymptotic behavior. (English) Zbl 1496.35089 J. Differ. Equations 336, 628-653 (2022). MSC: 35B40 35G61 35K58 35L71 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, J. Differ. Equations 336, 628--653 (2022; Zbl 1496.35089) Full Text: DOI
Garcke, Harald; Mitra, Sourav; Nikolić, Vanja A phase-field approach to shape and topology optimization of acoustic waves in dissipative media. (English) Zbl 1495.35125 SIAM J. Control Optim. 60, No. 4, 2297-2319 (2022). MSC: 35L71 35L20 49Q10 49J20 76Q05 PDFBibTeX XMLCite \textit{H. Garcke} et al., SIAM J. Control Optim. 60, No. 4, 2297--2319 (2022; Zbl 1495.35125) 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
Dekkers, Adrien; Rozanova-Pierrat, Anna Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains. (English) Zbl 1485.35285 J. Math. Anal. Appl. 512, No. 1, Article ID 126089, 45 p. (2022). MSC: 35L20 35L71 PDFBibTeX XMLCite \textit{A. Dekkers} and \textit{A. Rozanova-Pierrat}, J. Math. Anal. Appl. 512, No. 1, Article ID 126089, 45 p. (2022; Zbl 1485.35285) 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
Dekkers, Adrien; Rozanova-Pierrat, Anna; Teplyaev, Alexander Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries. (English) Zbl 1495.35111 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 75, 44 p. (2022). MSC: 35L20 35L72 35R05 28A80 PDFBibTeX XMLCite \textit{A. Dekkers} et al., Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 75, 44 p. (2022; Zbl 1495.35111) Full Text: DOI arXiv
Bongarti, Marcelo; Charoenphon, Sutthirut; Lasiecka, Irena Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics. (English) Zbl 1480.35028 J. Evol. Equ. 21, No. 3, 3553-3584 (2021). MSC: 35B40 35G31 35Q35 76Q05 PDFBibTeX XMLCite \textit{M. Bongarti} et al., J. Evol. Equ. 21, No. 3, 3553--3584 (2021; Zbl 1480.35028) 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
Egger, Herbert; Shashkov, Vsevolod On energy preserving high-order discretizations for nonlinear acoustics. (English) Zbl 1470.76054 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 353-361 (2021). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{H. Egger} and \textit{V. Shashkov}, Lect. Notes Comput. Sci. Eng. 139, 353--361 (2021; Zbl 1470.76054) Full Text: DOI arXiv
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
Berbiche, Mohamed Energy decay estimates of solutions for viscoelastic damped wave equations in \(\mathbb{R}^N\). (English) Zbl 1471.35039 Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3175-3214 (2021). MSC: 35B40 35B45 35B65 35L15 35L82 PDFBibTeX XMLCite \textit{M. Berbiche}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3175--3214 (2021; Zbl 1471.35039) Full Text: DOI
Dutta, Jogen; Deka, Bhupen Optimal a priori error estimates for the finite element approximation of dual-phase-lag bio heat model in heterogeneous medium. (English) Zbl 1472.65120 J. Sci. Comput. 87, No. 2, Paper No. 58, 32 p. (2021). MSC: 65M60 65M06 65N30 65M15 35L05 35B45 92C05 35Q79 35Q92 PDFBibTeX XMLCite \textit{J. Dutta} and \textit{B. Deka}, J. Sci. Comput. 87, No. 2, Paper No. 58, 32 p. (2021; Zbl 1472.65120) Full Text: DOI
Gambera, Laura R.; Lizama, Carlos; Prokopczyk, Andréa Well-posedness for the abstract Blackstock-Crighton-Westervelt equation. (English) Zbl 1462.35204 J. Evol. Equ. 21, No. 1, 313-337 (2021). MSC: 35L80 35L90 47D06 34B10 PDFBibTeX XMLCite \textit{L. R. Gambera} et al., J. Evol. Equ. 21, No. 1, 313--337 (2021; Zbl 1462.35204) Full Text: DOI
Nikolić, Vanja; Said-Houari, Belkacem Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains. (English) Zbl 1455.35279 J. Differ. Equations 273, 172-218 (2021). MSC: 35R09 35L75 35G25 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, J. Differ. Equations 273, 172--218 (2021; Zbl 1455.35279) Full Text: DOI arXiv
Bucci, Francesca; Pandolfi, Luciano On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory. (English) Zbl 1447.35088 J. Evol. Equ. 20, No. 3, 837-867 (2020). MSC: 35B65 35L35 35R09 47D09 PDFBibTeX XMLCite \textit{F. Bucci} and \textit{L. Pandolfi}, J. Evol. Equ. 20, No. 3, 837--867 (2020; Zbl 1447.35088) Full Text: DOI arXiv
Antonietti, Paola F.; Mazzieri, Ilario; Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara A high-order discontinuous Galerkin method for nonlinear sound waves. (English) Zbl 1440.65128 J. Comput. Phys. 415, Article ID 109484, 26 p. (2020). MSC: 65M60 76Q05 65M15 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Comput. Phys. 415, Article ID 109484, 26 p. (2020; Zbl 1440.65128) Full Text: DOI arXiv
Bongarti, Marcelo; Charoenphon, Sutthirut; Lasiecka, Irena Singular thermal relaxation limit for the Moore-Gibson-Thompson equation arising in propagation of acoustic waves. (English) Zbl 1494.76076 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 147-182 (2020). MSC: 76Q05 35B40 47D03 35Q35 PDFBibTeX XMLCite \textit{M. Bongarti} et al., Springer Proc. Math. Stat. 325, 147--182 (2020; Zbl 1494.76076) Full Text: DOI arXiv
Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation. (English) Zbl 1452.76223 J. Comput. Phys. 388, 279-299 (2019). MSC: 76Q05 76M10 65M60 65Z05 PDFBibTeX XMLCite \textit{M. Muhr} et al., J. Comput. Phys. 388, 279--299 (2019; Zbl 1452.76223) 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
Demchenko, Hanna; Anikushyn, Andrii; Pokojovy, Michael On a Kelvin-Voigt viscoelastic wave equation with strong delay. (English) Zbl 1427.35271 SIAM J. Math. Anal. 51, No. 6, 4382-4412 (2019). MSC: 35Q74 74D05 74H20 74H25 74H30 74H55 39A06 PDFBibTeX XMLCite \textit{H. Demchenko} et al., SIAM J. Math. Anal. 51, No. 6, 4382--4412 (2019; Zbl 1427.35271) Full Text: DOI arXiv
Nikolić, Vanja; Wohlmuth, Barbara A priori error estimates for the finite element approximation of Westervelt’s quasi-linear acoustic wave equation. (English) Zbl 1476.65247 SIAM J. Numer. Anal. 57, No. 4, 1897-1918 (2019). Reviewer: Kai Schneider (Marseille) MSC: 65M60 35L05 65M15 76Q05 65M12 35B45 35Q35 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Wohlmuth}, SIAM J. Numer. Anal. 57, No. 4, 1897--1918 (2019; Zbl 1476.65247) 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
Fritz, Marvin; Nikolić, Vanja; Wohlmuth, Barbara Well-posedness and numerical treatment of the blackstock equation in nonlinear acoustics. (English) Zbl 1421.35217 Math. Models Methods Appl. Sci. 28, No. 13, 2557-2597 (2018). MSC: 35L70 35A01 35A02 35B40 76Q05 65M60 PDFBibTeX XMLCite \textit{M. Fritz} et al., Math. Models Methods Appl. Sci. 28, No. 13, 2557--2597 (2018; Zbl 1421.35217) Full Text: DOI arXiv
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
Simonett, Gieri; Wilke, Mathias Well-posedness and longtime behavior for the Westervelt equation with absorbing boundary conditions of order zero. (English) Zbl 1361.35106 J. Evol. Equ. 17, No. 1, 551-571 (2017). MSC: 35L20 35L70 35L75 35Q35 PDFBibTeX XMLCite \textit{G. Simonett} and \textit{M. Wilke}, J. Evol. Equ. 17, No. 1, 551--571 (2017; Zbl 1361.35106) Full Text: DOI arXiv
Zhang, Jing The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework. (English) Zbl 1359.35162 Evol. Equ. Control Theory 6, No. 1, 135-154 (2017). MSC: 35Q35 35M10 35B35 35A01 74F10 76A10 76D07 PDFBibTeX XMLCite \textit{J. Zhang}, Evol. Equ. Control Theory 6, No. 1, 135--154 (2017; Zbl 1359.35162) Full Text: DOI
Brunnhuber, Rainer; Meyer, Stefan Optimal regularity and exponential stability for the Blackstock-Crighton equation in \(L_{p}\)-spaces with Dirichlet and Neumann boundary conditions. (English) Zbl 1365.35015 J. Evol. Equ. 16, No. 4, 945-981 (2016). MSC: 35G25 35Q35 35B30 35B35 35B40 35B45 35B65 PDFBibTeX XMLCite \textit{R. Brunnhuber} and \textit{S. Meyer}, J. Evol. Equ. 16, No. 4, 945--981 (2016; Zbl 1365.35015) 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
Christov, Ivan C. Nonlinear acoustics and shock formation in lossless barotropic Green-Naghdi fluids. (English) Zbl 1351.35129 Evol. Equ. Control Theory 5, No. 3, 349-365 (2016). MSC: 35Q35 76N15 76L05 35L67 35B44 76Q05 76M12 65M08 PDFBibTeX XMLCite \textit{I. C. Christov}, Evol. Equ. Control Theory 5, No. 3, 349--365 (2016; Zbl 1351.35129) Full Text: DOI arXiv
Caixeta, Arthur H.; Lasiecka, Irena; Cavalcanti, Valéria N. D. Global attractors for a third order in time nonlinear dynamics. (English) Zbl 1343.35033 J. Differ. Equations 261, No. 1, 113-147 (2016). MSC: 35B41 PDFBibTeX XMLCite \textit{A. H. Caixeta} et al., J. Differ. Equations 261, No. 1, 113--147 (2016; Zbl 1343.35033) Full Text: DOI
Brunnhuber, Rainer Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation. (English) Zbl 1327.35034 J. Math. Anal. Appl. 433, No. 2, 1037-1054 (2016). MSC: 35B40 76Q05 35A01 35A02 PDFBibTeX XMLCite \textit{R. Brunnhuber}, J. Math. Anal. Appl. 433, No. 2, 1037--1054 (2016; Zbl 1327.35034) 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
Nikolić, Vanja Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions. (English) Zbl 1315.35059 J. Math. Anal. Appl. 427, No. 2, 1131-1167 (2015). MSC: 35G31 35D30 PDFBibTeX XMLCite \textit{V. Nikolić}, J. Math. Anal. Appl. 427, No. 2, 1131--1167 (2015; Zbl 1315.35059) Full Text: DOI arXiv
Liu, Shitao; Triggiani, Roberto Inverse problem for a linearized Jordan-Moore-Gibson-Thompson equation. (English) Zbl 1390.35424 Favini, Angelo (ed.) et al., New prospects in direct, inverse and control problems for evolution equations. Selected papers based on the presentations at the international conference “Differential equations, inverse problems and control theory, Cortona, Italy, June 16–21, 2013. Cham: Springer (ISBN 978-3-319-11405-7/hbk; 978-3-319-11406-4/ebook). Springer INdAM Series 10, 305-351 (2014). MSC: 35R30 PDFBibTeX XMLCite \textit{S. Liu} and \textit{R. Triggiani}, Springer INdAM Ser. 10, 305--351 (2014; Zbl 1390.35424) 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
Marchand, R.; McDevitt, T.; Triggiani, R. An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability. (English) Zbl 1255.35047 Math. Methods Appl. Sci. 35, No. 15, 1896-1929 (2012). MSC: 35B40 35L35 47D03 93D20 35R25 35L90 47D06 PDFBibTeX XMLCite \textit{R. Marchand} et al., Math. Methods Appl. Sci. 35, No. 15, 1896--1929 (2012; Zbl 1255.35047) Full Text: DOI
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
Meyer, Stefan; Wilke, Mathias Optimal regularity and long-time behavior of solutions for the Westervelt equation. (English) Zbl 1233.35061 Appl. Math. Optim. 64, No. 2, 257-271 (2011). MSC: 35B65 35B40 76Q05 35G31 PDFBibTeX XMLCite \textit{S. Meyer} and \textit{M. Wilke}, Appl. Math. Optim. 64, No. 2, 257--271 (2011; Zbl 1233.35061) Full Text: DOI arXiv
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