Results 81 to 90 of about 125,341 (125)

Self‐Similar Blowup for the Cubic Schrödinger Equation

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

On the maximal Aa -index of graphs with a prescribed number of edges

open access: yesSpecial Matrices
For any real number α∈[0,1]\alpha \in \left[\mathrm{0,1}], by the Aα{A}_{\alpha }-matrix of a graph GG, we mean the matrix Aα(G)=αD(G)+(1−α)A(G){A}_{\alpha }\left(G)=\alpha D\left(G)+\left(1-\alpha )A\left(G), where A(G)A\left(G) and D(G)D\left(G) are ...
Chang Ting-Chung, Tam Bit-Shun
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias   +2 more
wiley   +1 more source

Resonance‐induced restoration of rock permeability degraded by heavy components of crude oil

open access: yesDeep Underground Science and Engineering, EarlyView.
Resonance‐induced changes occur in filtration properties of sedimentary rocks in crude paraffin oil flow under acoustic vibrations. Experimental data on (a) pressure drop; (b) permeability; (c) pressure at the rock inlet; and (d) pressure at the rock outlet are presented.
Evgenii Riabokon   +6 more
wiley   +1 more source

Review and prospects of shear test of bolted rock joints

open access: yesDeep Underground Science and Engineering, EarlyView.
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren   +4 more
wiley   +1 more source

Boundary Layer Meshing and Wall Functions Selection for Numerical Simulation of Solid–Liquid Two‐Phase Flow

open access: yesEnergy Science &Engineering, EarlyView.
This figure illustrates the optimal near‐wall treatment schemes (first‐layer height and wall function type) for solid–liquid two‐phase CFD of suspended sediment, which are correlated with particle size and flow velocity. ABSTRACT Near‐wall treatment (boundary‐layer meshing and wall functions) is a major uncertainty in solid–liquid two‐phase CFD of ...
Zichao Zhang   +4 more
wiley   +1 more source

Imploring interior GE-filters in GE-algebras

open access: gold, 2021
Sun Shin Ahn   +2 more
openalex   +1 more source

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