Solonnikov, V. A. \(L_p\)-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation. (English) Zbl 1468.35149 St. Petersbg. Math. J. 32, No. 3, 577-604 (2021) and Algebra Anal. 32, No. 3, 254-291 (2020). MSC: 35Q35 35R35 76D27 76D45 76N10 PDFBibTeX XMLCite \textit{V. A. Solonnikov}, St. Petersbg. Math. J. 32, No. 3, 577--604 (2021; Zbl 1468.35149) Full Text: DOI
Shibata, Yoshihiro On the \(\mathcal R\)-bounded solution operator and the maximal \(L_p\)-\(L_q\) regularity of the Stokes equations with free boundary condition. (English) Zbl 1373.35224 Shibata, Yoshihiro (ed.) et al., Mathematical fluid dynamics, present and future. Tokyo, Japan, November 11–14, 2014. Tokyo: Springer (ISBN 978-4-431-56455-3/hbk; 978-4-431-56457-7/ebook). Springer Proceedings in Mathematics & Statistics 183, 203-285 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D03 76D07 35R35 PDFBibTeX XMLCite \textit{Y. Shibata}, Springer Proc. Math. Stat. 183, 203--285 (2016; Zbl 1373.35224) Full Text: DOI
Maryani, Sri On the free boundary problem for the Oldroyd-B model in the maximal \(L_p-L_q\) regularity class. (English) Zbl 1338.35373 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 141, 109-129 (2016). MSC: 35Q35 76N10 PDFBibTeX XMLCite \textit{S. Maryani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 141, 109--129 (2016; Zbl 1338.35373) Full Text: DOI
Solonnikov, V. A. \(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container. (English. Russian original) Zbl 1309.35093 J. Math. Sci., New York 198, No. 6, 761-827 (2014); translation from Probl. Mat. Anal. 75, 93-152 (2014). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q35 76D45 PDFBibTeX XMLCite \textit{V. A. Solonnikov}, J. Math. Sci., New York 198, No. 6, 761--827 (2014; Zbl 1309.35093); translation from Probl. Mat. Anal. 75, 93--152 (2014) Full Text: DOI
Solonnikov, V. A. \(L_p\)-theory of free boundary problems of magnetohydrodynamics in multi-connected domains. (English) Zbl 1304.35572 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 263-288 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 35R35 76W05 PDFBibTeX XMLCite \textit{V. A. Solonnikov}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 263--288 (2014; Zbl 1304.35572) Full Text: DOI