Wave Processes in Fluids with Symmetric Density Stratification
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (30 November 2022) | Viewed by 18158
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Special Issue Editor
Special Issue Information
Dear Colleagues,
Internal gravity waves are one of the most important components of wave motions in stratified media. They arise and propagate at the interfaces of layers of different densities in a stratified fluid. The dynamics of internal waves has been studied quite well for two-layer stratification, and a large number of research articles have recently appeared devoted to studies of wave dynamics in a three-layer fluid, where more complex and interesting dynamic regimes can be observed.
A special issue is devoted to the description of wave processes in stratified fluids with a symmetric in vertical (with respect to mid-depth) distribution of density and / or shear flow, both layered and with continuous laws of density and flow velocity variations in depth. Such fluid configurations are specific because when described within approximate asymptotic models, symmetry leads to degeneration of nonlinearities in certain orders of expansion, and, as a consequence, to the necessity of taking into account additional higher-order terms, and, therefore, to new effects in wave dynamics which are not present in the absence of symmetry. In particular, the simplest evolutionary equation here is the modified Korteweg-de Vries equation, not the more common classical Korteweg-de Vries equation.
Сontributions are invited covering a broad range of topics including: analytical methods for deriving nonlinear evolutionary models, numerical modeling, nonlinear wave dynamics, localized non-radiating solutions (solitons and breathers), stationary solutions, wave interactions, shear instability, Lagrangian transport, accounting the influence of additional factors (capillary effects, rotation, etc.) in the context of wave phenomena in inhomogeneous symmetric fluids.
Prof. Dr. Oxana E. Kurkina
Guest Editor
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Keywords
- internal waves
- stratified flows
- symmetric density stratification
- layered fluid
- solitary waves
- breathers
- nonlinear evolution equations
- numerical modeling
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