The National Science Foundation (NSF) has awarded a $266,696 Project Grant to the University of Pittsburgh under the Mathematical and Physical Sciences (CFDA 47.049) program. The 3-year grant supports the investigator's research projects combining mathematical analysis, differential geometry, materials science, and engineering design. Key components include: (i) developing mechanical theories of thin multi-dimensional films with stored energy due to shape-formation processes; (ii) investigating regularity of solutions to partial differential equations arising from prestrained film deformation; and (iii) describing properties of "kirigamized" sheets - thin films with cut geometries. The grant funds analytical projects on dimension reduction, rigidity estimates, and flexibility in regularity for partial differential systems, as well as investigating geodesic structure in kirigamized sheets. This award reflects NSF's mission to advance scientific knowledge and address national research priorities in the mathematical and physical sciences.
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