Bechtold, Florian; Hofmanová, Martina Weak solutions for singular multiplicative SDEs via regularization by noise. (English) Zbl 1515.60176 Stochastic Processes Appl. 157, 413-435 (2023). MSC: 60H10 60G22 60H50 60L20 PDFBibTeX XMLCite \textit{F. Bechtold} and \textit{M. Hofmanová}, Stochastic Processes Appl. 157, 413--435 (2023; Zbl 1515.60176) Full Text: DOI arXiv
Cardona, Jorge; Hofmanová, Martina; Nilssen, Torstein; Rana, Nimit Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise. (English) Zbl 1498.35382 Electron. J. Probab. 27, Paper No. 88, 27 p. (2022). MSC: 35Q30 37H10 60L20 60L50 76D05 35D30 35R60 PDFBibTeX XMLCite \textit{J. Cardona} et al., Electron. J. Probab. 27, Paper No. 88, 27 p. (2022; Zbl 1498.35382) Full Text: DOI arXiv Link
Hofmanová, Martina; Leahy, James-Michael; Nilssen, Torstein On a rough perturbation of the Navier-Stokes system and its vorticity formulation. (English) Zbl 1477.35122 Ann. Appl. Probab. 31, No. 2, 736-777 (2021). MSC: 35Q30 35A15 35B20 35B45 35D35 35A01 35A02 47J30 60H05 60H15 76D05 PDFBibTeX XMLCite \textit{M. Hofmanová} et al., Ann. Appl. Probab. 31, No. 2, 736--777 (2021; Zbl 1477.35122) Full Text: DOI arXiv Link
Hofmanová, Martina; Leahy, James-Michael; Nilssen, Torstein On the Navier-Stokes equation perturbed by rough transport noise. (English) Zbl 1427.60125 J. Evol. Equ. 19, No. 1, 203-247 (2019). MSC: 60H15 76D05 47J30 60H05 35A15 60L20 PDFBibTeX XMLCite \textit{M. Hofmanová} et al., J. Evol. Equ. 19, No. 1, 203--247 (2019; Zbl 1427.60125) Full Text: DOI arXiv
Deya, Aurélien; Gubinelli, Massimiliano; Hofmanová, Martina; Tindel, Samy A priori estimates for rough PDEs with application to rough conservation laws. (English) Zbl 1411.60094 J. Funct. Anal. 276, No. 12, 3577-3645 (2019). MSC: 60H15 35R60 35L65 PDFBibTeX XMLCite \textit{A. Deya} et al., J. Funct. Anal. 276, No. 12, 3577--3645 (2019; Zbl 1411.60094) Full Text: DOI arXiv Link
Hocquet, Antoine; Hofmanová, Martina An energy method for rough partial differential equations. (English) Zbl 1513.60128 J. Differ. Equations 265, No. 4, 1407-1466 (2018). MSC: 60L50 35R60 PDFBibTeX XMLCite \textit{A. Hocquet} and \textit{M. Hofmanová}, J. Differ. Equations 265, No. 4, 1407--1466 (2018; Zbl 1513.60128) Full Text: DOI arXiv
Hofmanová, Martina On the rough Gronwall lemma and its applications. (English) Zbl 1405.60093 Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 333-344 (2018). MSC: 60H15 35R60 35L65 PDFBibTeX XMLCite \textit{M. Hofmanová}, Springer Proc. Math. Stat. 229, 333--344 (2018; Zbl 1405.60093) Full Text: DOI arXiv
Hofmanová, Martina Scalar conservation laws with rough flux and stochastic forcing. (English) Zbl 1351.60080 Stoch. Partial Differ. Equ., Anal. Comput. 4, No. 3, 635-690 (2016). MSC: 60H15 60H05 60J65 35R60 35L65 PDFBibTeX XMLCite \textit{M. Hofmanová}, Stoch. Partial Differ. Equ., Anal. Comput. 4, No. 3, 635--690 (2016; Zbl 1351.60080) Full Text: DOI arXiv