Feedback stabilization for the phase field equations

Abstract

Feedback stabilization for the system governed by the phase field equations is investigated. For any given solution (ϕ, ū) of the stationary problem and any initial data, a nonlinear feedback control is constructed so that the corresponding state of the system converges to (ϕ, ū) t → ∞

Keywords:

• Phase field equations
• feedback stabilization
• global existence

AMS(MOS)::

• 93D15
• 35K40

^*This work was partially supported by the chinese Nsf under grants 0188416 and 1870418.

^*This work was partially supported by the chinese Nsf under grants 0188416 and 1870418.

Notes

^*This work was partially supported by the chinese Nsf under grants 0188416 and 1870418.