Results 41 to 50 of about 38,605 (282)
Solvability of Degenerating Hyperbolic Differential Equations with Unbounded Operator Coefficients [PDF]
Differential Equations, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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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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Principal Symbol of Euler-Lagrange Operators
, 2016 We shall introduce the principal symbol for Euler-Lagrange operators and use them to charac- terise well-posed initial value problems. We shall clarify how constraints can arise in Lagrangian covariant theories by extending the standard treatment in GR ...
Fatibene, Lorenzo, Garruto, Simon
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Stability of $L^\infty$ solutions for hyperbolic systems with coinciding shocks and rarefactions [PDF]
, 2000 We consider a hyperbolic system of conservation laws u_t + f(u)_x = 0 and u(0,\cdot) = u_0, where each characteristic field is either linearly degenerate or genuinely nonlinear.
Baiti Paolo +7 more
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Mixed problems for degenerate hyperbolic equations
Kyoto Journal of Mathematics, 1983 The author defines boundary conditions satisfying uniform Lopatinski conditions for a degenerate hyperbolic mixed problem to be an \(H^{\infty}\)-well posed mixed problem. The method is based on energy inequalities for such mixed problems, which are analogous to those in the non-degenerate case, except for having some degenerate orders. Main difference
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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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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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ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION
Journal of Optimization, Differential Equations and Their Applications, 2019 Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
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