A note on a degenerate elliptic equation with applications for lakes and seas.
The Cauchy problem and decay rates for strong solutions of a Boussinesq system.
A review on the improved regularity for the primitive equations
In this work we will study some types of regularity properties of solutions for the geophysical model of hydrostatic Navier-Stokes equations, the so-called Primitive Equations (PE). Also, we will present some results about uniqueness and asymptotic behavior in time.
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
We analyze two numerical schemes of Euler type in time and finite-element type with -approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly non-linear parabolic system with three unknowns: phase-field, solute concentration and temperature, where the diffusion for the temperature and solute concentration may degenerate. The first scheme is nonlinear, unconditionally stable and convergent. The other scheme...
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