Large fully nonlinear internal solitary waves: the effect of background current. (English) Zbl 1185.76354
Editorial remark: No review copy delivered.
MSC:
| 76-XX | Fluid mechanics |
References:
| [1] | L. A. Ostrovsky and Yu. A. Stepanyants, ”Do internal solitons exist in the ocean?” Rev. Geophys. REGEEP27, 293 (1989).REGEEP8755-1209 |
| [2] | D. J. Benney, ”Long nonlinear waves in fluid flows,” J. Math. Phys. JMAPAQ45, 52 (1966).JMAPAQ0022-2488 |
| [3] | J. Gear and R. Grimshaw, ”A second-order theory for solitary waves in shallow fluids,” Phys. Fluids PFLDAS26, 14 (1983).PFLDAS0031-9171 · Zbl 0508.76035 |
| [4] | K. G. Lamb and L. Yan, ”The evolution of internal wave undular bores: Comparisons of a fully nonlinear numerical model with weakly nonlinear theory,” J. Phys. Oceanogr. JPYOBT26, 2712 (1996).JPYOBT0022-3670 |
| [5] | R. Grimshaw, ”Internal solitary waves” in Advances in Coastal and Ocean Engineering, edited by P. L-F. Liu (World Scientific, Singapore, 1996), Vol. 3, p. 1. · Zbl 0877.76010 |
| [6] | K. G. Lamb, ”Theoretical descriptions of shallow-water solitary internal waves: Comparisons with fully-nonlinear waves,” The 1998 WHOI\IOS\ONR Internal Solitary Wave Workshop: Contributed Papers, edited by T. F. Duda and D. M. Farmer, WHOI-99-07 (1998). |
| [7] | B. Turkington, A. Eydeland, and S. Wang, ”A computational method for solitary internal waves in a continuously stratified fluid,” Stud. Appl. Math. SAPMB685, 93 (1991).SAPMB60022-2526 · Zbl 0728.76026 |
| [8] | K. G. Lamb and B. Wan, ”Conjugate flows and flat solitary waves for a continuously stratified fluid,” Phys. Fluids PHFLE610, 2061 (1998).PHFLE61070-6631 · Zbl 1185.76913 |
| [9] | T. B. Benjamin, ”Internal waves of finite amplitude and permanent form,” J. Fluid Mech. JFLSA725, 241 (1966).JFLSA70022-1120 |
| [10] | S. Wang, Ph.D. thesis, University of Massachusetts, Amherst (1991). |
| [11] | M. Stastna, Ph.D. thesis, University of Waterloo, Waterloo, Canada (2001). |
| [12] | D. J. Brown and D. R. Christie, ”Fully nonlinear solitary waves in continuously stratified incompressible Boussinesq fluids,” Phys. Fluids PHFLE610, 2569 (1998).PHFLE61070-6631 · Zbl 1185.76909 |
| [13] | K. K. Tung, D. R. S. Ko, and J. J. Chang, ”Weakly nonlinear internal waves in shear,” Stud. Appl. Math. SAPMB665, 189 (1981).SAPMB60022-2526 |
| [14] | C. Yih, Dynamics of Nonhomogeneous Fluids (MacMillan, New York, 1965). · Zbl 0193.55205 |
| [15] | S. A. Maslowe and L. G. Redekopp, ”Long nonlinear waves in stratified shear flows,” J. Fluid Mech. JFLSA7101, 321 (1980).JFLSA70022-1120 · Zbl 0458.76038 |
| [16] | K. G. Lamb, ”A numerical investigation of solitary internal waves with trapped cores formed via shoaling,” J. Fluid Mech. JFLSA7451, 109 (2002).JFLSA70022-1120 · Zbl 1009.76010 |
| [17] | K. G. Lamb, ”Conjugate flows for a three-layer fluid,” Phys. Fluids PHFLE612, 2169 (2000).PHFLE61070-6631 |
| [18] | A. J. Majda and M. G. Schefter, ”Elementary stratified flows with instability at large Richardson number,” J. Fluid Mech. JFLSA7376, 319 (2000).JFLSA70022-1120 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
