Multifractal based topological characterization of perovskite crystal and predictive analysis on its physical properties. [PDF]
Yogalakshmi K, Easwaramoorthy D.
europepmc +1 more source
Abstract Silicon carbide (SiC) is a promising material for hypersonic thermal protection systems, but its complex oxidation behavior—marked by transitions between passive, active, and interfacial bubbling regimes—can lead to catastrophic failure. Existing SiC models typically focus exclusively on either passive or active oxidation.
Théo A. Rulko, Raúl A. Radovitzky
wiley +1 more source
Predicting Extreme Environmental Values with Hybrid Models: A Perspective Across Air Quality, Wind Energy, and Sensor Networks. [PDF]
Efthimiou G.
europepmc +1 more source
Surface Wave Solutions in 1D and 2D for the Broer–Kaup–Boussinesq–Kupershmidt System
ABSTRACT The Broer–Kaup–Boussinesq–Kupershmidt (BKBK) system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter κ$\kappa$.
Darryl D. Holm, Ruiao Hu, Hanchun Wang
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Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
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"Tirer d'eux leurs secrets": Leibniz on Artisanal Knowledge and "Secret" Geometry. [PDF]
Beirach Y, Friedman M.
europepmc +1 more source
The GJMS operators in geometry, analysis and physics
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
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Lie symmetry approach to the dynamical behavior and conservation laws of actin filament electrical models. [PDF]
Beenish, Samreen M, Alshammari FS.
europepmc +1 more source
Brave New Algebraic Geometry and global derived moduli spaces of ring spectra
Bertrand Toën, Gabriele Vezzosi
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The legacy of the Cartwright–Littlewood collaboration
Abstract Mary L. Cartwright and John E. Littlewood published a short “preliminary survey” in 1945 describing results of their investigation of the forced van der Pol equation ÿ−k(1−y2)ẏ+y=bλkcos(λt+a)$$\begin{equation*} \ddot{y}-k(1-y^2)\dot{y}+y = b \lambda k \cos (\lambda t+a) \end{equation*}$$in which b,λ,k,a$b,\lambda,k,a$ are parameters with k$k$
John Guckenheimer
wiley +1 more source

