Nikitina, L. V.; Campbell, L. J. Dynamics of vortex Rossby waves in tropical cyclones, part 2: nonlinear time-dependent asymptotic analysis on a \(\beta\)-plane. (English) Zbl 1327.76046 Stud. Appl. Math. 135, No. 4, 422-446 (2015). MSC: 76B65 76U05 86A05 76M45 PDFBibTeX XMLCite \textit{L. V. Nikitina} and \textit{L. J. Campbell}, Stud. Appl. Math. 135, No. 4, 422--446 (2015; Zbl 1327.76046) Full Text: DOI
Nikitina, L. V.; Campbell, L. J. Dynamics of vortex Rossby waves in tropical cyclones. I: Linear time-dependent evolution on an \(f\)-plane. (English) Zbl 1327.76045 Stud. Appl. Math. 135, No. 4, 377-421 (2015). MSC: 76B65 76U05 44A10 35L05 86A05 86A10 35Q35 35Q86 PDFBibTeX XMLCite \textit{L. V. Nikitina} and \textit{L. J. Campbell}, Stud. Appl. Math. 135, No. 4, 377--421 (2015; Zbl 1327.76045) Full Text: DOI
Derzho, Oleg G.; de Young, Brad Rotating nonlinear vortical patterns on a gamma plane. (English) Zbl 1210.35188 Stud. Appl. Math. 126, No. 2, 187-201 (2011). MSC: 35Q35 76B65 76E07 86A05 PDFBibTeX XMLCite \textit{O. G. Derzho} and \textit{B. de Young}, Stud. Appl. Math. 126, No. 2, 187--201 (2011; Zbl 1210.35188) Full Text: DOI
Caillol, P.; Grimshaw, R. H. Rossby elevation waves in the presence of a critical layer. (English) Zbl 1386.76049 Stud. Appl. Math. 120, No. 1, 35-64 (2008). MSC: 76B65 86A05 PDFBibTeX XMLCite \textit{P. Caillol} and \textit{R. H. Grimshaw}, Stud. Appl. Math. 120, No. 1, 35--64 (2008; Zbl 1386.76049) Full Text: DOI Link
Derzho, Oleg G.; Grimshaw, Roger Rossby waves on a shear flow with recirculation cores. (English) Zbl 1145.76339 Stud. Appl. Math. 115, No. 4, 387-403 (2005). MSC: 76B65 86A05 PDFBibTeX XMLCite \textit{O. G. Derzho} and \textit{R. Grimshaw}, Stud. Appl. Math. 115, No. 4, 387--403 (2005; Zbl 1145.76339) Full Text: DOI Link
Biello, Joseph A.; Majda, Andrew J. The effect of meridional and vertical shear on the interaction of equatorial baroclinic and barotropic Rossby waves. (English) Zbl 1141.86304 Stud. Appl. Math. 112, No. 4, 341-390 (2004). MSC: 86A10 76B60 76B65 PDFBibTeX XMLCite \textit{J. A. Biello} and \textit{A. J. Majda}, Stud. Appl. Math. 112, No. 4, 341--390 (2004; Zbl 1141.86304) Full Text: DOI
Campbell, L. J. Wave-mean-flow interactions in a forced Rossby wave packet critical layer. (English) Zbl 1141.76468 Stud. Appl. Math. 112, No. 1, 39-85 (2004). MSC: 76U05 76B15 76B65 86A05 86A10 PDFBibTeX XMLCite \textit{L. J. Campbell}, Stud. Appl. Math. 112, No. 1, 39--85 (2004; Zbl 1141.76468) Full Text: DOI
Tan, Benkui; Boyd, John P. Envelope solitary waves and periodic waves in the AB equations. (English) Zbl 1114.76315 Stud. Appl. Math. 109, No. 2, 67-87 (2002). MSC: 76B65 35B10 35Q51 35Q53 86A05 86A10 PDFBibTeX XMLCite \textit{B. Tan} and \textit{J. P. Boyd}, Stud. Appl. Math. 109, No. 2, 67--87 (2002; Zbl 1114.76315) Full Text: DOI
Maslowe, S. A.; Clarke, S. R. Subcritical Rossby waves in zonal shear flows with nonlinear critical layers. (English) Zbl 1152.76348 Stud. Appl. Math. 108, No. 1, 89-103 (2002). MSC: 76B65 76E05 76U05 PDFBibTeX XMLCite \textit{S. A. Maslowe} and \textit{S. R. Clarke}, Stud. Appl. Math. 108, No. 1, 89--103 (2002; Zbl 1152.76348) Full Text: DOI
Boyd, John P.; Natarov, Andrei A Sturm-Liouville eigenproblem of the fourth kind: a critical latitude with equatorial trapping. (English) Zbl 1020.34080 Stud. Appl. Math. 101, No. 4, 433-455 (1998). MSC: 34L40 34B24 34E05 76B65 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{A. Natarov}, Stud. Appl. Math. 101, No. 4, 433--455 (1998; Zbl 1020.34080) Full Text: DOI
Vanden-Broeck, J.-M.; Agnon, Y. A model equation for water waves. (English) Zbl 0873.35073 Stud. Appl. Math. 98, No. 1, 1-18 (1997). Reviewer: V.A.Sava (Iaşi) MSC: 35Q35 76B65 PDFBibTeX XMLCite \textit{J. M. Vanden-Broeck} and \textit{Y. Agnon}, Stud. Appl. Math. 98, No. 1, 1--18 (1997; Zbl 0873.35073) Full Text: DOI
Knessl, Charles; Keller, Joseph B. Rossby waves. (English) Zbl 0833.76014 Stud. Appl. Math. 94, No. 4, 359-376 (1995). MSC: 76B65 PDFBibTeX XMLCite \textit{C. Knessl} and \textit{J. B. Keller}, Stud. Appl. Math. 94, No. 4, 359--376 (1995; Zbl 0833.76014) Full Text: DOI
Ierley, Glenn R.; Ruehr, Otto G. Analytic and numerical solutions of a nonlinear boundary-layer problem. (English) Zbl 0625.76052 Stud. Appl. Math. 75, 1-36 (1986). MSC: 76E20 76U05 76V05 76B65 76M99 86A05 PDFBibTeX XMLCite \textit{G. R. Ierley} and \textit{O. G. Ruehr}, Stud. Appl. Math. 75, 1--36 (1986; Zbl 0625.76052) Full Text: DOI
Grimshaw, R. Evolution equations for weakly nonlinear, long internal waves in a rotating fluid. (English) Zbl 0572.76102 Stud. Appl. Math. 73, 1-33 (1985). MSC: 76U05 76B55 86A05 76B25 PDFBibTeX XMLCite \textit{R. Grimshaw}, Stud. Appl. Math. 73, 1--33 (1985; Zbl 0572.76102) Full Text: DOI
Warn, T. The evolution of finite amplitude solitary Rossby waves on a weak shear. (English) Zbl 0538.76029 Stud. Appl. Math. 69, 127-133 (1983). Reviewer: P.Secchi MSC: 76B65 PDFBibTeX XMLCite \textit{T. Warn}, Stud. Appl. Math. 69, 127--133 (1983; Zbl 0538.76029) Full Text: DOI
Benney, D. J. Large amplitude Rossby waves. (English) Zbl 0428.76025 Stud. Appl. Math. 61, 1-10 (1979). MSC: 76B65 35Q99 PDFBibTeX XMLCite \textit{D. J. Benney}, Stud. Appl. Math. 61, 1--10 (1979; Zbl 0428.76025) Full Text: DOI
Warn, T.; Warn, H. The evolution of a nonlinear critical level. (English) Zbl 0415.76020 Stud. Appl. Math. 59, 37-71 (1978). MSC: 76B65 35C20 35C99 PDFBibTeX XMLCite \textit{T. Warn} and \textit{H. Warn}, Stud. Appl. Math. 59, 37--71 (1978; Zbl 0415.76020) Full Text: DOI
Ma, Yan-Chow The complete solution of the long-wave-short-wave resonance equations. (English) Zbl 0399.76028 Studies Appl. Math. 59, 201-221 (1978). MSC: 76B25 76B65 35Q99 35R35 35P25 82D10 PDFBibTeX XMLCite \textit{Y.-C. Ma}, Stud. Appl. Math. 59, 201--221 (1978; Zbl 0399.76028) Full Text: DOI