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89 papers · 1 filter
On Invertibility of Sobolev Mappings
Leonid V. Kovalev, Jani Onninen
We prove local and global invertibility of Sobolev solutions of certain differential inclusions which prevent the differential matrix from having negative eigenvalues. Our results…
Soft random solids and their heterogeneous elasticity
Xiaoming Mao, Paul M. Goldbart, Xiangjun Xing +1
Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the \emph{structure} of soft random solids…
Microwave response of vortices in superconducting thin films of Re and Al
C. Song, T. W. Heitmann, M. P. DeFeo +5
Vortices in superconductors driven at microwave frequencies exhibit a response related to the interplay between the vortex viscosity, pinning strength, and flux creep effects. At t…
Two-Dimensional Matter: Order, Curvature and Defects
Mark J. Bowick, Luca Giomi
Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of…
S-waves and the Measurement of CP Violating Phases in Bs Decays
Sheldon Stone, Liming Zhang
Heavy, as yet undiscovered particles, can affect measurements of CP violation in the B system. Measuring CP violation in the Bs system provides an excellent place to observe such e…
Dynamics of quasiconformal fields
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
A uniqueness theorem is established for autonomous systems of ODEs, , where is a Sobolev vector field with additional geometric structure, such as delta-monoticit…