## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- Electronic Research Announcements
- Conference Publications
- AIMS Mathematics

DCDS-S

We consider unsteady flows of compressible Navier-Stokes-Fourier
equations in domains with bottoms that are not flat and where the
fluid fulfils Navier's slip boundary conditions. Dealing with weak
solutions whose long-time and large data existence has been recently
established, we
investigate their behavior for vanishing Mach number (the square of
this small parameter appears also in the Navier slip condition),
and prove their convergence towards the weak solution of the
so-called Boussinesq approximation with the no-slip boundary
condition. The fact that we treat the Navier boundary condition
brings several interesting features in the analysis of acoustic
waves, in particular the strong convergence of the velocity field.

DCDS-B

We study the low Mach number limit for the compressible
Navier-Stokes system supplemented with Navier's boundary condition
on an unbounded domain with compact boundary. Our main result
asserts that the velocities converge pointwise to a solenoidal
vector field - a weak solution of the incompressible Navier-Stokes
system - while the fluid density becomes constant. The proof is
based on a variant of local energy decay property for the underlying
acoustic equation established by Kato.

## Year of publication

## Related Authors

## Related Keywords

[Back to Top]