Karabut, P. E.; Ostapenko, V. V. Problem of the decay of a small-amplitude discontinuity in two-layer shallow water: first approximation. (English. Russian original) Zbl 1272.76057 J. Appl. Mech. Tech. Phys. 52, No. 5, 698-708 (2011); translation from Prikl. Mekh. Tekh. Fiz. 52, No. 5, 27-38 (2011). MSC: 76B15 76L05 PDFBibTeX XMLCite \textit{P. E. Karabut} and \textit{V. V. Ostapenko}, J. Appl. Mech. Tech. Phys. 52, No. 5, 698--708 (2011; Zbl 1272.76057); translation from Prikl. Mekh. Tekh. Fiz. 52, No. 5, 27--38 (2011) Full Text: DOI
Karabut, P. E.; Ostapenko, V. V. Method of successive approximations for the Riemann problem with a small-amplitude discontinuity. (English. Russian original) Zbl 1232.65136 Dokl. Math. 83, No. 2, 143-148 (2011); translation from Dokl. Akad. Nauk 437, No. 1, 9-15 (2011). MSC: 65M99 35L05 76B15 76M25 PDFBibTeX XMLCite \textit{P. E. Karabut} and \textit{V. V. Ostapenko}, Dokl. Math. 83, No. 2, 143--148 (2011; Zbl 1232.65136); translation from Dokl. Akad. Nauk 437, No. 1, 9--15 (2011) Full Text: DOI
Karabut, P. E.; Ostapenko, V. V. A problem on dam failure in a two-layer shallow water (linear approximation). (Russian, English) Zbl 1183.76849 Prikl. Mat. Mekh. 72, No. 6, 958-970 (2008); translation in J. Appl. Math. Mech. 72, No. 6, 694-703 (2008). Reviewer: A. Ja. Olejnik (Kyïv) MSC: 76N99 PDFBibTeX XMLCite \textit{P. E. Karabut} and \textit{V. V. Ostapenko}, Prikl. Mat. Mekh. 72, No. 6, 958--970 (2008; Zbl 1183.76849); translation in J. Appl. Math. Mech. 72, No. 6, 694--703 (2008)