| The Jordan–Moore–Gibson–Thompson Equation: Well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time B Kaltenbacher, V Nikolić Mathematical Models and Methods in Applied Sciences 29 (13), 2523-2556, 2019 | 56 | 2019 |
| Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation M Fritz, EABF Lima, V Nikolić, JT Oden, B Wohlmuth Mathematical Models and Methods in Applied Sciences 29 (13), 2433-2468, 2019 | 33 | 2019 |
| A high-order discontinuous Galerkin method for nonlinear sound waves PF Antonietti, I Mazzieri, M Muhr, V Nikolić, B Wohlmuth Journal of Computational Physics 415, 109484, 2020 | 32 | 2020 |
| A priori error estimates for the finite element approximation of Westervelt's quasi-linear acoustic wave equation V Nikolic, B Wohlmuth SIAM Journal on Numerical Analysis 57 (4), 1897-1918, 2019 | 24 | 2019 |
| Time-fractional Moore–Gibson–Thompson equations B Kaltenbacher, V Nikolić Mathematical Models and Methods in Applied Sciences 32 (05), 965-1013, 2022 | 21 | 2022 |
| Parabolic approximation of quasilinear wave equations with applications in nonlinear acoustics B Kaltenbacher, V Nikolić SIAM Journal on Mathematical Analysis 54 (2), 1593-1622, 2022 | 21 | 2022 |
| On the Jordan–Moore–Gibson–Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity V Nikolić, B Said-Houari Journal of Mathematical Fluid Mechanics 23, 1-24, 2021 | 19 | 2021 |
| The inviscid limit of third-order linear and nonlinear acoustic equations B Kaltenbacher, V Nikolić SIAM Journal on Applied Mathematics 81 (4), 1461–1482, 2021 | 19 | 2021 |
| Vanishing relaxation time limit of the Jordan–Moore–Gibson–Thompson wave equation with Neumann and absorbing boundary conditions B Kaltenbacher, V Nikolić Pure and Applied Functional Analysis 5 (1), 1-26, 2020 | 17 | 2020 |
| Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains V Nikolić, B Said-Houari Journal of Differential Equations 273, 172-218, 2021 | 16 | 2021 |
| Isogeometric shape optimization for nonlinear ultrasound focusing M Muhr, V Nikolić, B Wohlmuth, L Wunderlich Evolution Equations & Control Theory (EECT) 8 (1), 163–202, 2019 | 16 | 2019 |
| Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy V Nikolić, B Kaltenbacher Applied Mathematics & Optimization 76, 261-301, 2017 | 14 | 2017 |
| On higher regularity for the Westervelt equation with strong nonlinear damping V Nikolić, B Kaltenbacher Applicable Analysis 95 (12), 2824-2840, 2016 | 13 | 2016 |
| Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation M Muhr, V Nikolić, B Wohlmuth Journal of Computational Physics 388, 279-299, 2019 | 12 | 2019 |
| Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics M Fritz, V Nikolić, B Wohlmuth Mathematical Models and Methods in Applied Sciences 28 (13), 2557-2597, 2018 | 12 | 2018 |
| Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions V Nikolić Journal of Mathematical Analysis and Applications 427 (2), 1131-1167, 2015 | 12 | 2015 |
| Efficient time integration methods based on operator splitting and application to the Westervelt equation B Kaltenbacher, V Nikolic, M Thalhammer IMA Journal of Numerical Analysis 35 (3), 1092-1124, 2015 | 10 | 2015 |
| Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation V Nikolić, B Said-Houari Nonlinear Analysis: Real World Applications 62, 103384, 2021 | 9 | 2021 |
| Limiting behavior of quasilinear wave equations with fractional-type dissipation B Kaltenbacher, M Meliani, V Nikolić arXiv preprint arXiv:2206.15245, 2022 | 7 | 2022 |
| The vanishing relaxation time behavior of multi-term nonlocal Jordan–Moore–Gibson–Thompson equations B Kaltenbacher, V Nikolić Nonlinear Analysis: Real World Applications 76, 103991, 2024 | 6 | 2024 |
Barbara KaltenbacherUniversity Professor for Applied Analysis, Alpen-Adria-Universität KlagenfurtVerified email at aau.at
