Decay of Kadomtsev - Petviashvili lumps in dissipative media
| Autor: | Simon R Clarke, K. A. Gorshkov, Yury Stepanyants, Roger Grimshaw |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Fluid Dynamics (physics.flu-dyn) FOS: Physical sciences Statistical and Nonlinear Physics Laminar flow Mechanics Physics - Fluid Dynamics Dissipation Condensed Matter Physics Kadomtsev–Petviashvili equation 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Boundary layer Nonlinear Sciences::Exactly Solvable and Integrable Systems 0103 physical sciences Dissipative system Radiative transfer Landau damping Soliton 010306 general physics Nonlinear Sciences::Pattern Formation and Solitons |
| Popis: | The decay of Kadomtsev - Petviashvili lumps is considered for a few typical dissipations - Rayleigh dissipation, Reynolds dissipation, Landau damping, Chezy bottom friction, viscous dissipation in the laminar boundary layer, and radiative losses caused by large-scale dispersion. It is shown that the straight-line motion of lumps is unstable under the influence of dissipation. The lump trajectories are calculated for two most typical models of dissipation - the Rayleigh and Reynolds dissipations. A comparison of analytical results obtained within the framework of asymptotic theory with the direct numerical calculations of the Kadomtsev - Petviashvili equation is presented. Good agreement between the theoretical and numerical results is obtained. 21 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|