Camassa, R.; D’Onofrio, R.; Falqui, G.; Ortenzi, G.; Pedroni, M. Evolution of interface singularities in shallow water equations with variable bottom topography. (English) Zbl 07776530 Stud. Appl. Math. 148, No. 4, 1439-1476 (2022). MSC: 35Q35 76B15 76L05 35A24 35C06 35C05 35B40 35B44 35L05 41A60 35R35 PDFBibTeX XMLCite \textit{R. Camassa} et al., Stud. Appl. Math. 148, No. 4, 1439--1476 (2022; Zbl 07776530) Full Text: DOI arXiv OA License
Camassa, Roberto; Falqui, Gregorio; Ortenzi, Giovanni; Pedroni, Marco; Pitton, Giuseppe On the “vacuum” dam-break problem: exact solutions and their long time asymptotics. (English) Zbl 1461.35187 SIAM J. Appl. Math. 80, No. 1, 44-70 (2020). MSC: 35Q35 35L67 76B15 35B40 35D30 76L05 PDFBibTeX XMLCite \textit{R. Camassa} et al., SIAM J. Appl. Math. 80, No. 1, 44--70 (2020; Zbl 1461.35187) Full Text: DOI
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.; Pitton, G. Singularity formation as a wetting mechanism in a dispersionless water wave model. (English) Zbl 1431.35121 Nonlinearity 32, No. 10, 4079-4116 (2019). MSC: 35Q35 35L67 76B15 76L05 35B25 65M70 PDFBibTeX XMLCite \textit{R. Camassa} et al., Nonlinearity 32, No. 10, 4079--4116 (2019; Zbl 1431.35121) Full Text: DOI arXiv
Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M. The exact evolution of the scalar variance in pipe and channel flow. (English) Zbl 1220.82098 Commun. Math. Sci. 8, No. 2, 601-626 (2010). Reviewer: Vittorio Romano (Catania) MSC: 82C70 82C31 34E13 76F25 PDFBibTeX XMLCite \textit{R. Camassa} et al., Commun. Math. Sci. 8, No. 2, 601--626 (2010; Zbl 1220.82098) Full Text: DOI Euclid
Camassa, Roberto; Huang, Jingfang; Lee, Long Integral and integrable algorithms for a nonlinear shallow-water wave equation. (English) Zbl 1220.76016 J. Comput. Phys. 216, No. 2, 547-572 (2006). MSC: 76B15 35Q53 37L60 37N10 65M60 PDFBibTeX XMLCite \textit{R. Camassa} et al., J. Comput. Phys. 216, No. 2, 547--572 (2006; Zbl 1220.76016) Full Text: DOI
Camassa, Roberto Characteristics and the initial value problem of a completely integrable shallow water equation. (English) Zbl 1031.37063 Discrete Contin. Dyn. Syst., Ser. B 3, No. 1, 115-139 (2003). MSC: 37K15 37N10 35Q53 76B15 PDFBibTeX XMLCite \textit{R. Camassa}, Discrete Contin. Dyn. Syst., Ser. B 3, No. 1, 115--139 (2003; Zbl 1031.37063) Full Text: DOI
Camassa, R.; Zenchuk, A. I. On the initial value problem for a completely integrable shallow water wave equation. (English) Zbl 1002.76012 Phys. Lett., A 281, No. 1, 26-33 (2001). MSC: 76B15 35Q53 35Q35 PDFBibTeX XMLCite \textit{R. Camassa} and \textit{A. I. Zenchuk}, Phys. Lett., A 281, No. 1, 26--33 (2001; Zbl 1002.76012) Full Text: DOI
Camassa, Roberto Characteristic variables for a completely integrable shallow water equation. (English) Zbl 0964.35131 Boiti, M. (ed.) et al., Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS ’79, Lecce, Italy, July 1-10, 1999. Singapore: World Scientific. 65-74 (2000). MSC: 35Q53 76B15 PDFBibTeX XMLCite \textit{R. Camassa}, in: Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS '79, Lecce, Italy, July 1--10, 1999. Singapore: World Scientific. 65--74 (2000; Zbl 0964.35131)
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P. Nonlinear waves and solitons in physical systems. (English) Zbl 0939.35159 Physica D 123, No. 1-4, 1-20 (1998). MSC: 35Q51 35-02 35Q53 37K10 76B15 PDFBibTeX XMLCite \textit{R. Camassa} et al., Physica D 123, No. 1--4, 1--20 (1998; Zbl 0939.35159) Full Text: DOI
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David Long-time shallow-water equations with a varying bottom. (English) Zbl 0897.76008 J. Fluid Mech. 349, 173-189 (1997). MSC: 76B15 PDFBibTeX XMLCite \textit{R. Camassa} et al., J. Fluid Mech. 349, 173--189 (1997; Zbl 0897.76008) Full Text: DOI
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David Long-time effects of bottom topography in shallow water. (English) Zbl 0899.76081 Physica D 98, No. 2-4, 258-286 (1996). MSC: 76B15 76U05 86A05 37N99 PDFBibTeX XMLCite \textit{R. Camassa} et al., Physica D 98, No. 2--4, 258--286 (1996; Zbl 0899.76081) Full Text: DOI
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E. The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. (English) Zbl 0808.35124 Lett. Math. Phys. 32, No. 2, 137-151 (1994). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 35Q53 37J35 37K10 76B15 PDFBibTeX XMLCite \textit{M. S. Alber} et al., Lett. Math. Phys. 32, No. 2, 137--151 (1994; Zbl 0808.35124) Full Text: DOI
Camassa, Roberto; Holm, Darryl D.; Hyman, James M. A new integrable shallow water equation. (English) Zbl 0808.76011 Adv. Appl. Mech. 31, 1-33 (1994). MSC: 76B15 76B25 35Q51 37N10 PDFBibTeX XMLCite \textit{R. Camassa} et al., in: Advances in Applied Mechanics. Vol. 31. Boston, MA: Academic Press. 1--33 (1994; Zbl 0808.76011)
Camassa, Roberto; Holm, Darryl D. An integrable shallow water equation with peaked solitons. (English) Zbl 0972.35521 Phys. Rev. Lett. 71, No. 11, 1661-1664 (1993). MSC: 35Q51 37K10 76B15 76B25 PDFBibTeX XMLCite \textit{R. Camassa} and \textit{D. D. Holm}, Phys. Rev. Lett. 71, No. 11, 1661--1664 (1993; Zbl 0972.35521) Full Text: DOI arXiv