What is the physical meaning of coefficints in logarithmic Boussinesq Equation?
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The coefficients in the logarithmic Boussinesq Equation have significant physical implications. This equation describes a Bose liquid with unique properties, such as self-sustainability and the formation of Gaussian-type droplets without external trapping potentials . In the context of fluid dynamics, the Boussinesq equations, which are a modification of long wave equations, are crucial for describing the transformation of nonlinear waves in shallow water, with improved linear dispersion characteristics . Additionally, the Boussinesq system of hydrodynamics equations arises from the coupling between Navier-Stokes equations and thermodynamic equations, highlighting the conversion of gravitational potential energy into motion through buoyant forces due to density gradients in fluids .
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30 Citations | The coefficients in the logarithmic Boussinesq Equation represent the conversion of gravitational potential energy into motion via buoyant forces due to density gradients in a fluid. |
| Not addressed in the paper. | |
| The coefficients in the logarithmic Boussinesq Equation represent the interaction of waveguides with the external environment, energy exchange through the outer surface of waveguides, and deformation dispersion of waves in a viscous environment. | |
| The coefficients in the logarithmic Boussinesq Equation determine the emergence of self-sustainability, spatial extent, and diverse excitation types in quantum Bose liquids, reflecting long-range correlations and multi-body interactions. | |
01 Dec 2020 | Not addressed in the paper. |
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