9 citations · 9 across the 4 of their papers we have counts for
6 papers
A Temperature-Coupled Cahn-Hilliard-Stokes-Heat Model for Thermally Driven Phase Separation
Maria Deliyianni, Boris Muha, Andrej Novak
We study a diffuse-interface model for thermally driven phase separation in viscous incompressible mixtures. The system couples a convective Cahn-Hilliard equation for the order pa…
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…
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,…
Dynamic Equations of Motion for Inextensible Beams and Plates
Maria Deliyianni, Kevin McHugh, Justin T. Webster +1
The large deflections of cantilevered beams and plates are modeled and discussed. Traditional nonlinear elastic models (e.g., that of von Karman) employ elastic restoring forces ba…
Theory of Solutions for An Inextensible Cantilever
Maria Deliyianni, Justin T. Webster
Recent equations of motion for the large deflections of a cantilevered elastic beam are analyzed. In the traditional theory of beam (and plate) large deflections, nonlinear restori…
Large Deflections of Inextensible Cantilevers: Modeling, Theory, and Simulation
Maria Deliyianni, Varun Gudibanda, Jason Howell +1
A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam's inextensibility---local arc length preservation---rather than trad…