Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838868 | Nonlinear Analysis: Real World Applications | 2009 | 27 Pages |
Abstract
We study the incompressible limit of the full Navier–Stokes–Fourier system on condition that the boundary of the spatial domain oscillates with the amplitude and wave length proportional to the Mach number. Assuming the fluid satisfies the complete slip boundary conditions on the oscillating boundary, we identify the asymptotic limit, and, in particular, establish strong (pointwise) convergence of the velocities towards a solenoidal vector field.
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Authors
Dorin Bucur, Eduard Feireisl,