Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models

Figure 1

Domains Ω_𝑖(𝑖=1,2,…,8), characteristics:   OPM:𝑥=𝑥₂(𝑡), APF: 𝑥=𝑥₁(𝑡), CQN: 𝑥=𝑥₁(𝑡), BQE: 𝑥=𝑥₂(𝑡),straight  line:𝑃𝑄.