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The Complex Function Method Roadway Section Design of the Soft Coal Seam
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 As for the sophisticated advanced support technique of vertical wall semicircle arch roadway in the three‐soft coal seam, a design of flat top U‐shape roadway section was put forward. Based on the complex function method, the surrounding rock displacement and stress distribution laws both of vertical wall semicircle arch roadway and of flat top U‐shape
Shihao Tu +5 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9469-9475, August 2024.We reconstruct the initial functions from the trace of the solution of an initial value problem for the wave equation on the light cone. A method to recover the initial function from the solution of the wave equation on the light cone is already known for odd spatial dimensions.
Dabin Park, Sunghwan Moon
wiley +1 more source
Solution of a Goursat Problem in Optimal Domains [PDF]
gmj, 2007 Abstract In case a non-linear differential equation is reduced to a fixed-point problem, one has to apply a fixed-point theorem to a suitably chosen subset of the underlying function space. Generally speaking, in view of the non-linearity of the differential equation the restrictions for the data of the problem will be the more extensive
openaire +2 more sources
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 1, June 2024.Abstract We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth‐order linear equations with constant complex coefficients in the plane bounded domain.
Kateryna Buryachenko
wiley +1 more source
Nilpotent Bases for a Class of Non-Integrable Distributions with Applications to Trajectory Generation for Nonholonomic Systems [PDF]
, 1992 This paper develops a constructive method for finding a nilpotent basis for a special class of smooth nonholonomic distributions. The main tool is the use of the Goursat normal form theorem which arises in the study of exterior differential systems.
Murray, Richard M.
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Totally deranged elements of almost simple groups and invariable generating sets
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract By a classical theorem of Jordan, every faithful transitive action of a non‐trivial finite group has a derangement (an element with no fixed points). The existence of derangements with additional properties has attracted much attention, especially for faithful primitive actions of almost simple groups.
Scott Harper
wiley +1 more source
Minimal surfaces with symmetries
Proceedings of the London Mathematical Society, Volume 128, Issue 3, March 2024.Abstract Let G$G$ be a finite group acting on a connected open Riemann surface X$X$ by holomorphic automorphisms and acting on a Euclidean space Rn$\mathbb {R}^n$ (n⩾3)$(n\geqslant 3)$ by orthogonal transformations. We identify a necessary and sufficient condition for the existence of a G$G$‐equivariant conformal minimal immersion F:X→Rn$F:X\rightarrow
Franc Forstnerič
wiley +1 more source
Initial value problems for wave equations on manifolds
, 2014 We study the global theory of linear wave equations for sections of vector bundles over globally hyperbolic Lorentz manifolds. We introduce spaces of finite energy sections and show well-posedness of the Cauchy problem in those spaces.
Baer, Christian, Wafo, Roger Tagne
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Word maps with constants on symmetric groups
Mathematische Nachrichten, Volume 297, Issue 1, Page 165-173, January 2024.Abstract We study word maps with constants on symmetric groups. Even though there are non‐trivial mixed identities of bounded length that are valid for all symmetric groups, we show that no such identities can hold in the limit in a metric sense. Moreover, we prove that word maps with constants and non‐trivial content, that are short enough, have an ...
Jakob Schneider, Andreas Thom
wiley +1 more source
Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
, 2020 We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach.
Xuan, Pham Truong
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