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
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
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
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
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
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
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
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
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
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
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