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math.AP2026
Admissibility criteria for convex integration fan solutions and contact discontinuities in the Euler equation
Heiko Gimperlein
For piecewise constant fan subsolutions to the isentropic Euler equations, the entropy and action rates of any associated convex integration solution, relative to a common referenc…
math.AP2026
Analysis of a Model for Electrical Discharge in MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
We study the local well-posedness of the solution to a coupled nonlinear elliptic-parabolic system which models electrical discharge in a Micro-Electro-Mechanical System (MEMS). A…