Index Catalog // ScholarsArchive@OSU

Creator:: Showalter, R. E.
Abstract:: We develop the theory of degenerate and nonlinear evolution systems in mixed formulation. It will be shown that many of the well-known results for the stationary problem extend to the nonlinear case and that the dynamics of a degenerate Cauchy problem is governed by a nonlinear semigroup. The results are...
Resource Type:: Article

Creator:: Finch, David and Hickmann, Kyle S.
Abstract:: The spectrum of the interior transmission problem is related to the unique determination of the acoustic properties of a body in thermoacoustic imaging. Under a non-trapping hypothesis, we show that sparsity of the interior transmission spectrum implies a range separation condition for the thermoacoustic operator. In odd dimensions greater than...
Resource Type:: Article

Creator:: Farwig, Reinhard, Guenther, Ronald B., Thomann, Enrique A., and Necasova, Sarka
Abstract:: We derive the fundamental solution of the linearized problem of the motion of a viscous uid around a rotating body when the axis of rotation of the body is not parallel to the velocity of the uid at infinity.
Resource Type:: Article

Creator:: Calta, Kariane and Schmidt, Thomas A.
Abstract:: We give explicit pseudo-Anosov homeomorphisms with vanishing Sah–Arnoux–Fathi invariant. Any translation surface whose Veech group is commensurable to any of a large class of triangle groups is shown to have an affine pseudo-Anosov homeomorphism of this type. We also apply a reduction to finite triangle groups and thereby show the...
Resource Type:: Article

Creator:: Dray, Tevian
Abstract:: We provide several examples of the use of geometric reasoning with three-dimensional spacetime diagrams, rather than algebraic manipulations using three-dimensional Lorentz transformations, to analyze problems in special relativity.
Resource Type:: Article

Creator:: Babichev, Audrey, Burton, Robert M., and Fieldsteel, Adam
Abstract:: Abstract: We prove that for all ergodic extensions S-1 of a transformation by a locally compact second countable group G, and for all G-extensions S₂ of an aperiodic transformation, there is a relative speedup of S₁ that is relatively isomorphic to S₂. We apply this result to give necessary and...
Resource Type:: Article

Creator:: Peszynska, Malgorzata and Trykozko, Anna
Abstract:: We consider computational modeling of flow with small and large velocities at porescale and at corescale, and we address various challenges in simulation, upscaling, and modeling. While our focus is on voxel-based data sets from real porous media imaging, our methodology is verified first on synthetic geometries, and we analyze...
Resource Type:: Article

Creator:: Hernley, Aaron, Albrecht, Andreas, and Dray, Tevian
Abstract:: We investigate a number of simple toy models to explore interesting relationships between dynamics and typicality. We start with an infinite model that has been proposed as an illustration of how nonergodic dynamics can produce interesting features that are suggestive for cosmological applications. We consider various attempts to define the...
Resource Type:: Article

Creator:: Guo, Ren
Abstract:: The P1 discretization of the Laplace operator on a triangulated polyhedral surface is related to geometric properties of the surface. This paper studies extremum problems for eigenvalues of the P1 discretization of the Laplace operator. Among all triangles, an equilateral triangle has the maximal first positive eigenvalue. Among all cyclic...
Resource Type:: Article

Creator:: Calta, Kariane and Schmidt, Thomas A.
Abstract:: We give continued fraction algorithms for each conjugacy class of triangle Fuchsian group of signature (3, n, ∞), with n ≥ 4. In particular, we give an explicit form of the group that is a subgroup of the Hilbert modular group of its trace field and provide an interval map...
Resource Type:: Article

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