Clamond, D. and Stepanyants, Y. (2012) Stationary gravity waves with the zero mean vorticity in stratified fluid. Studies in Applied Mathematics, 128 (1). pp. 59-85. ISSN 0022-2526
|HTML Citation||EndNote||Dublin Core||Reference Manager|
Full text not available from this archive.
Identification Number or DOI: doi: 10.1111/j.1467-9590.2011.00530.x
A new approach to the description of stationary plane waves in ideal density stratified incompressible fluid is considered without application of the Boussinesq approximation. The approach is based on the Dubreil-Jacotin–Long equation with the additional assumption that the mean vorticity of the flow is zero. It is shown that in the linear approximation the spectrum of eigenmodes and corresponding dispersion equations can be found in closed analytical forms for many particular relationships between the fluid density and stream function. Examples are presented for waves of infinitesimal amplitude. Exact expression for the velocity of solitary wave of any amplitude is derived.
|Item Type:||Article (Commonwealth Reporting Category C)|
|Additional Information:||Article first published online: 16 DEC 2011. Permanent restricted access to published version due to publisher copyright policy. The definitive version is available at www3.interscience.wiley.com|
|Uncontrolled Keywords:||gravity waves; internal waves; vorticity; stratified fluid; dispersion relation; linear approximation; stationary waves|
|Fields of Research (FOR2008):||02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics|
02 Physical Sciences > 0201 Astronomical and Space Sciences > 020105 General Relativity and Gravitational Waves
01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
|Socio-Economic Objective (SEO2008):||E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences|
|Deposited On:||05 May 2012 11:50|
|Last Modified:||06 May 2013 11:02|
Archive Staff Only: edit this record