Analytical and Numerical Methods for Nonlinear Geofluid Dynamics and Wave Propagation
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 27 May 2027 | Viewed by 29
Editor
Interests: applied mathematics; nonlinear differential equations; mathematical physics; wave propagation; fluid dynamics; lie group analysis; symmetry methods; mathematical modeling; numerical methods
Special Issue Information
Dear Colleagues,
In recent decades, nonlinear phenomena in geofluid dynamics and wave propagation have attracted significant attention from researchers across many scientific fields. The advancement of advanced technological tools and mathematical theories has led to major scientific breakthroughs in modeling complex environmental and geophysical systems. These novel outcomes open new and prospective possibilities for understanding planetary-scale flows, oceanic waves and atmospheric disturbances.
This Special Issue invites papers that focus on recent and novel developments in the analytical and numerical modeling of nonlinear geofluid flows and wave phenomena. We especially welcome contributions that merge precise mathematical analysis with physical modeling—such as the application of Lie groups, symmetry transformations and exact or approximate solutions to the foundational governing equations of fluid mechanics to capture complex regular and irregular patterns in geophysical fluids.
This Special Issue will accept high-quality papers containing original research results and survey articles of exceptional merit in the following fields:
- Analytical methods and exact solutions for nonlinear partial differential equations in fluid dynamics;
- Symmetry analysis, Lie groups and invariant transformations for hydrodynamic systems;
- Advanced numerical schemes and computational fluid dynamics (CFD) for shallow-water frameworks;
- Nonlinear wave propagation, solitary waves and Cauchy–Poisson free boundary problems;
- Stratified flows, rotating fluids, planetary waves and ocean–atmosphere dynamics;
- Hydrodynamic stability theory, Kelvin–Helmholtz instabilities and turbulence modeling;
- Real-world mathematical modeling of natural phenomena in meteorology, oceanography and geophysics.
Dr. Ranis Ibragimov
Guest Editor
Manuscript Submission Information
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Keywords
- nonlinear wave propagation
- geophysical fluid dynamics
- lie symmetry analysis
- exact solutions
- computational fluid dynamics (CFD)
- shallow-water equations
- hydrodynamic stability
- mathematical modeling
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