Kolluru, Sai Swetha Venkata; Besse, Nicolas; Pandit, Rahul Novel spectral methods for shock capturing and the removal of tygers in computational fluid dynamics. (English) Zbl 07945384 J. Comput. Phys. 519, Article ID 113446, 30 p. (2024). MSC: 65Mxx 35Lxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bryndin, L. S.; Semisalov, B. V.; Beliaev, V. A.; Shapeev, V. P. Numerical analysis of the blow-up of one-dimensional polymer fluid flow with a front. (English) Zbl 07849564 Comput. Math. Math. Phys. 64, No. 1, 151-165 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ambrose, David M.; Hadadifard, Fazel; Kelliher, James P. Contour dynamics and global regularity for periodic vortex patches and layers. (English) Zbl 07825626 SIAM J. Math. Anal. 56, No. 2, 2286-2311 (2024). Reviewer: Fatma Gamze Düzgün (Ankara) MSC: 76B03 76B47 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Almonacid, Javier A.; Nigam, Nilima Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: a numerical study. (English) Zbl 1526.35350 J. Comput. Appl. Math. 438, Article ID 115510, 18 p. (2024). MSC: 35S10 65M70 65F15 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trefethen, Lloyd N. Numerical analytic continuation. (English) Zbl 1526.30003 Japan J. Ind. Appl. Math. 40, No. 3, 1587-1636 (2023). MSC: 30B40 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
VandenHeuvel, Daniel J.; Lustri, Christopher J.; King, John R.; Turner, Ian W.; McCue, Scott W. Burgers’ equation in the complex plane. (English) Zbl 1512.35386 Physica D 448, Article ID 133686, 19 p. (2023). MSC: 35K58 35C05 35K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weideman, J. A. C. Dynamics of complex singularities of nonlinear PDEs. (English) Zbl 1532.35299 Chacón Rebollo, Tomás (ed.) et al., Recent advances in industrial and applied mathematics. Selected papers based on the presentations at the 9th international congress of industrial and applied mathematics, València, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 1, 227-247 (2022). MSC: 35L60 × Cite Format Result Cite Review PDF Full Text: DOI
Caflisch, R. E.; Gargano, F.; Sammartino, M.; Sciacca, V. Complex singularity analysis for vortex layer flows. (English) Zbl 1507.76048 J. Fluid Mech. 932, Paper No. A21, 37 p. (2022). MSC: 76D17 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Coclite, Giuseppe Maria; Gargano, Francesco; Sciacca, Vincenzo Up-wind difference approximation and singularity formation for a slow erosion model. (English) Zbl 1434.76083 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 465-492 (2020). MSC: 76M20 76T25 65M12 35A20 35L65 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Gargano, F.; Sammartino, M.; Sciacca, V. Numerical study of the primitive equations in the small viscosity regime. (English) Zbl 1431.35125 Ric. Mat. 68, No. 2, 383-397 (2019). MSC: 35Q35 76F40 35A21 65M70 86A05 86A10 35Q86 76V05 76D05 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Murray, Brendan P.; Bustamante, Miguel D. Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation. (English) Zbl 1415.76251 J. Fluid Mech. 850, 624-645 (2018). MSC: 76F02 76L05 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Černá, Dana; Finĕk, Václav Sparse wavelet representation of differential operators with piecewise polynomial coefficients. (English) Zbl 1422.65470 Axioms 6, No. 1, Paper No. 4, 21 p. (2017). MSC: 65T60 42C20 91G60 × Cite Format Result Cite Review PDF Full Text: DOI
Caflisch, R. E.; Gargano, F.; Sammartino, M.; Sciacca, V. Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets. (English) Zbl 1367.35113 Boll. Unione Mat. Ital. 10, No. 1, 113-141 (2017). MSC: 35Q31 35B65 76B47 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong A well-posedness theory for the Prandtl equations in three space variables. (English) Zbl 1360.35182 Adv. Math. 308, 1074-1126 (2017). MSC: 35Q35 35M13 76D10 76D03 76N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kukavica, Igor; Vicol, Vlad; Wang, Fei The van Dommelen and Shen singularity in the Prandtl equations. (English) Zbl 1357.35058 Adv. Math. 307, 288-311 (2017). MSC: 35B44 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gargano, F.; Ponetti, G.; Sammartino, M.; Sciacca, V. Complex singularities in KdV solutions. (English) Zbl 1356.35201 Ric. Mat. 65, No. 2, 479-490 (2016). MSC: 35Q53 35A20 65M70 35B40 × Cite Format Result Cite Review PDF Full Text: DOI