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math.AP2025
Hyperbolic Monge-Ampère Equation on a Cylinder: Well-Posedness and Stability
Maria Deliyianni, Shankar C. Venkataramani
This paper develops a rigorous analytic framework for the hyperbolic Monge-Ampère equation on strip-like domains, which model wrinkled patterns in thin elastic sheets. Our work add…
math.AP2025
Large Deflections of A Flow-Driven Cantilever with Kutta-Joukowski Flow Conditions
Maria Deliyianni, Irena Lasiecka, Justin T. Webster
We consider a canonical flow-structure system modeling airflow over a cantilevered beam. Flow-beam interactions arise in flight systems as well as alternative energy technologies,…