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math.AP2022
Instantaneous convexity breaking for the quasi-static droplet model
Albert Chau, Ben Weinkove
We consider a well-known quasi-static model for the shape of a liquid droplet. The solution can be described in terms of time-evolving domains in . We give an example…
math.AP2022★ 1 cited
Concavity of solutions to semilinear equations in dimension two
Albert Chau, Ben Weinkove
We consider the Dirichlet problem for a class of semilinear equations on two dimensional convex domains. We give a sufficient condition for the solution to be concave. Our conditio…