Results 51 to 60 of about 841 (144)
On the Computation of Crack Surface Normals in the Phase‐Field Model of Hydraulic Fracture
ABSTRACT Hydraulic fracturing techniques have been used to extract oil from the Earth's crust and to enhance the efficiency of geothermal systems among other applications. Numerical simulation of hydraulic fracturing is essential for predicting the environmental impact of this method, as well as its efficiency in such applications. In the present work,
Anuj Gupte +2 more
wiley +1 more source
Asymptotic freeness in tracial ultraproducts
We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$ , $u_2 \in ...
Cyril Houdayer, Adrian Ioana
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Probing and Graph Coloring Techniques for Trace Estimation in Lattice QCD
ABSTRACT The computation of Tr[D−1]$\mathrm{Tr}[D^{-1}]$, where D$D$ is the Wilson–Dirac matrix of Lattice QCD, is a fundamental and computationally demanding task with applications to disconnected hadronic correlation functions. Since D−1$D^{-1}$ is a dense matrix of prohibitive size, its trace cannot be computed exactly, and one must resort to ...
Mario Papace +5 more
wiley +1 more source
ABSTRACT Regenerative medicine is a promising approach for the treatment of meniscus injuries. In silico experiments provide a valuable framework for optimizing such therapies by improving the understanding of both environmental effects on cell behavior and the interaction between cells and nonwoven scaffolds, which act as porous media supporting cell ...
Ahmad Hussein +3 more
wiley +1 more source
Free W*-Dynamical Systems From p-Adic Number Fields and the Euler Totient Function
In this paper, we study relations between free probability on crossed product W * -algebras with a von Neumann algebra over p-adic number fields
Ilwoo Cho, Palle E. T. Jorgensen
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Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley +1 more source
An application of the Sakai's theorem to the characterization of H*-algebras
The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative H*-algebras via two-sided H*-algebras.
Borut Zalar
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A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method
ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
wiley +1 more source
ABSTRACT Several engineering problems involve the need to model conjugate heat transfer processes considering the temperature‐dependence of the material properties. Consequently, a simulation tool capable of modeling this process is of great interest. In this context, the present work proposes a thermal lattice Boltzmann method (TLBM) for modeling the ...
Julia Akiko Sassa +2 more
wiley +1 more source
The Haagerup property is not invariant under quasi‐isometry
Abstract Using the work of Cornulier–Valette and Whyte (see Appendix A for the latter), we show that neither the Haagerup property nor weak amenability is invariant under quasi‐isometry of finitely generated groups. Appendix B shows, using the same examples, that the same holds for vanishing of the equivariant Lp$L^p$‐compression.
Mathieu Carette +4 more
wiley +1 more source

