论文标题
压力跳跃和径向固定溶液的脱位Cahn-Hilliard方程
Pressure jump and radial stationary solutions of the degenerate Cahn-Hilliard equation
论文作者
论文摘要
具有退化迁移率的Cahn-Hilliard方程在包括活组织建模在内的多个区域。在不可压缩流的情况下，我们有兴趣量化界面处的压力跳跃。为此，我们包括外力并考虑固定的径向溶液。这使我们能够计算小分散体制中的压力跳跃。我们还表征了不可压缩的情况下紧凑的固定解决方案，证明了不可压缩的极限并证明了抛物线问题与固定状态的融合。
The Cahn-Hilliard equation with degenerate mobility is used in several areas including the modeling of living tissues. We are interested in quantifying the pressure jump at the interface in the case of incompressible flows. To do so, we include an external force and consider stationary radial solutions. This allows us to compute the pressure jump in the small dispersion regime. We also characterize compactly supported stationary solutions in the incompressible case, prove the incompressible limit and prove convergence of the parabolic problems to stationary states.
