Results 41 to 50 of about 18,450 (294)
The ab-initio aided strain gradient elasticity theory: a new concept for fracture nanomechanics
Fracture and Structural Integrity, 2019 When the width of cracked nanocomponents made of brittle or quasi-brittle materials is less than approximately , the size of the - dominance zone becomes smaller than and comparable to the fracture process zone ( ).
Tom� Profant, Jaroslav Pokluda
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Explicit resolutions of cubic cusp singularities [PDF]
Mathematics of Computation, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinitesimal deformations of cusp singularities
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1984 Let (X,0) be a two-dimensional cusp singularity, i.e. a singularity for which the reduced exceptional divisor C in a minimal resolution \(\tilde X\to X\) is a cycle of - say r - rational curves. It is shown that for \(C\cdot C\leq -5\) the dimension of the Zariski tangent space to the base of the semi-universal deformation equals r-C\(\cdot C\).
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A geometric definition of Gabrielov numbers
, 2013 Gabrielov numbers describe certain Coxeter-Dynkin diagrams of the 14 exceptional unimodal singularities and play a role in Arnold's strange duality. In a previous paper, the authors defined Gabrielov numbers of a cusp singularity with an action of a ...
Ebeling, Wolfgang, Takahashi, Atsushi
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Transformation of caustic structures of the catastrophe type during the propagation of electromagnetic waves in cold plasma [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of the work is to investigate the possibilities of formation of centers of topological caustic singularities of the catastrophe type during probing of a unimodal plasma layer by electromagnetic waves.
Kryukovsky, Andrey Sergeevich +1 more
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The duality of cusp singularities
Mathematische Annalen, 1992 The notion of cusp singularities on Hilbert modular surfaces was generalized in higher dimensions by Tsuchihashi by using the theory of toric varieties. In this paper, a dual relation of the invariants of the cusp singularities which was conjectured by \textit{I. Satake} and \textit{S.
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Cusp Singularities in Boundary-Driven Diffusive Systems [PDF]
Journal of Statistical Physics, 2013 Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be non-differentiable, a phenomenon that is unique to non-equilibrium systems, and discuss the types of models which display such
Bunin, Guy +2 more
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Binary differential equations at parabolic and umbilical points for $2$-parameter families of surfaces [PDF]
, 2017 We determine local topological types of binary differential equations of asymptotic curves at parabolic and flat umbilical points for generic $2$-parameter families of surfaces in $\mathbb P^3$ by comparing our projective classification of Monge forms ...
Kabata, Yutaro +2 more
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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Quantum Stability of (2+1)-Spacetimes with Non-Trivial Topology [PDF]
, 1996 Quantum fields are investigated in the (2+1)-open-universes with non-trivial topologies by the method of images. The universes are locally de Sitter spacetime and anti-de Sitter spacetime.
Banach R +6 more
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