Asymptotic stability of equilibrium states for cohesive fluids
Abstract
We investigate asymptotic stability of constant equilibrium states for compressible nonisothermal cohesive fluids also termed capillary fluids or diffuse interface fluids. The density gradient is added as an extra variable and the augmented system of equations is recast into a normal form with symmetric transport first-order terms, symmetric dissipative second-order terms and antisymmetric cohesive second-order terms. Global existence and asymptotic stability of constant equilibrium states are established by using new dissipative conditions for such augmented hyperbolic–parabolic–dispersive systems of equations. Decay estimates are obtained in all spatial dimensions by using the augmented formulation as well as estimates in Fourier spaces.
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Micro and Nano Robotics
Granular flow and fluidized beds
Publication details
- Journal / source
- Mathematical Models and Methods in Applied Sciences
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 36
- Issue
- 10
- Pages
- 2197–2252
- Publication date
- 30 April 2026
- Language
- EN