Results 41 to 50 of about 1,214 (284)
An energy analysis of degenerate hyperbolic partial differential equations. [PDF]
Applications of Mathematics, 1984 From author's summary: An energy analysis is carried out for the usual semi-discrete Galerkin method for the semilinear equation in the region \(\Omega\) : \((tu_ t)_ t=\sum_{i,j=1}(a_{ij}(x)u_{x_ i})x_ i- a_ 0(x)u+f(u),\) subject to the initial and boundary conditions, \(u=0\) on \(\partial \Omega\) and \(u(x,0)=u_ 0\).
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Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
FEBS Letters, EarlyView.Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
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Mixed Problems for Singular and Degenerate Hyperbolic Equations
Publications of the Research Institute for Mathematical Sciences, 1987 The author considers a mixed problem for a degenerate hyperbolic equation with principal symbol \(\prod^ m_{j=1}(\tau-t^ k\Lambda_ j(t,x,y;\xi,\eta))\), where \(k\) is a real number, \(k>0\), the variables \((\xi,\eta)\) are dual to \((x,y)\), and the \(\Lambda^ j(t,x,y;\xi,\eta)\) are real and distinct. For this problem the author proves existence and
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Advanced Nonlinear StudiesWe study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for ...
Hu Yanbo, Sugiyama Yuusuke
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Внутреннекраевые задачи со смещением для смешанно-волнового уравнения
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 В работе исследованы краевые задачи с внутреннекраевым смещением для модельного смешанно-волнового уравнения, которые являются обобщениями задачи Гурса и задач с данными на противоположных характеристиках.
Балкизов, Ж.А. +1 more
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Strong traces for degenerate parabolic-hyperbolic equations and applications [PDF]
, 2007 textWe consider bounded weak solutions u of a degenerate parabolic-hyperbolic equation defined in a subset [mathematical symbols]. We define strong notion of trace at the boundary [mathematical symbols] reached by L¹ convergence for a large class of ...
Kwon, Young Sam
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
The Scientific World Journal, 2014 This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method.
Dianchen Lu, Tingting Chen, Baojian Hong
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FEBS Open Bio, EarlyView.Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane +11 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 In the article, we investigate a boundary-value problem with a third-order inhomogeneous parabolic-hyperbolic equation with a wave operator in a hyperbolicity domain.
Zhiraslan Anatolievich Balkizov
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