Yes Thms. 1.1 & 1.2 |
No Thm. 1.1 & Obs. 4.1 |
Yes Thm. 1.2(ⅰ) |
Not known | No Thm. 1.2(ⅱ) |
In this paper we study the process of phase separation from directional quenching, considered as an externally triggered variation in parameters that changes the system from monostable to bistable across an interface (quenching front); in our case the interface moves with speed $c$ in such a way that the bistable region grows. According to results from [
Citation: |
Figure 4. Sketch of an unbalanced pattern with a contact angle; see Def. 1.3 or [9]
Table 1.
A grasshoppers guide to the existence and nonexistence of patterns
Yes Thms. 1.1 & 1.2 |
No Thm. 1.1 & Obs. 4.1 |
Yes Thm. 1.2(ⅰ) |
Not known | No Thm. 1.2(ⅱ) |
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Sketches of solutions for pure phase selection
Sketches of solutions for horizontal patterns;
Existence diagram for parameters
Sketch of an unbalanced pattern with a contact angle; see Def. 1.3 or [9]
Sketch of solutions to