Results 121 to 130 of about 3,258,064 (367)
Singular integral equations with Cauchy kernels [PDF]
W. J. Trjitzinsky
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A review of multiscale numerical modeling of rock mechanics and rock engineering
Multiscale numerical methods of rock mechanics and rock engineering are reviewed, and the review results show that more attention should be paid to the development of an advanced constitutive model in addition to numerical techniques themselves. Abstract Rock is geometrically and mechanically multiscale in nature, and the traditional phenomenological ...
Xindong Wei, Zhe Li, Gaofeng Zhao
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Many researchers are interested in topics related to solutions of differential equations with variable coefficients. Here for the first time, we study the nonhomogeneous second-order Euler–Cauchy operator-differential equation.
Abdel Baset I. Ahmed, Mohamed A. Labeeb
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The Cauchy Problem for Laplace's Equation in Three Dimensions [PDF]
L. H. Johnson
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This paper presents an investigation of CO2 injection well damage evolution considering different injection temperatures and the presence of a pre‐existing defect. The main outcome is that the accurate prediction of well leakage risk requires characteristics such as initial defects to be understood and represented in any modeling efforts. Abstract This
Lee J. Hosking, Xiangming Zhou
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We prove a comparison principle for solutions of the Cauchy problem of the nonlinear pseudoparabolic equation $u_t=Delta u_t+ Deltavarphi(u) +h(t,u)$ with nonnegative bounded initial data.
Tatiana Kavitova
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Remarks on hyperstability of the Cauchy functional equation
We present some simple observations on hyperstability for the Cauchy equation on a restricted domain. Namely, we show that (under some weak natural assumptions) functions that satisfy the equation approximately (in some sense), must be actually solutions
J. Brzdȩk
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Study on fracture parameter calibration and failure characteristics of rock with hole and crack
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
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Partial difference equations arising from the Cauchy-Riemann equations
We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a $2$-divisible Abelian group, which is a discrete version of the ...
S. Haruki, S. Nakagiri
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On the Cauchy problem for equations with multiple characteristic roots [PDF]
Tadayoshi Kano
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