Study on the Law of Multi‐Fracture Propagation in Different Fracturing Fluid Viscosity
Energy Science &Engineering, EarlyView.Samples and equipment Sample preparation Test equipment Analysis of test results Fracture propagation morphology Influence of fracturing fluid viscosity on crack initiation time/(fracture initiation pressure) Evolution law of injection pressure Cumulative relation curve of pressure–time–acoustic ABSTRACT Using the TCHFSM‐I large‐scale accurate triaxial
Zhixing Zhang +4 more
wiley +1 more source
FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions
Abstract and Applied Analysis, 2012 A numerical method is proposed for solving nonlocal boundary value problem for the multidimensional elliptic partial differential equation with the Bitsadze-Samarskii-Dirichlet condition.
Allaberen Ashyralyev +1 more
doaj +1 more source
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]
Bound Value Probl, 2023 Li C.
europepmc +1 more source
New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle [PDF]
, 2021 Dovlet M. Dovletov
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On Nonlinear Parabolic Equations with Nonlocal Boundary Condition
Journal of Mathematical Analysis and Applications, 1994 Let \(\emptyset \neq \Omega \subset \mathbb{R}^ n\) be a bounded domain with \(C^ 2\)-boundary and \(T > 0\). Of concern is the semilinear second order initial-boundary value problem \[ \begin{alignedat}{2} \partial_ tu(t,x) - A(t)u(t,x) & = f \bigl( t,x,u(t,x) \bigr), &\qquad (t,x) &\in (0,T) \times \Omega, \\ u(t,x) & = \int_ \Omega \Phi (x,y) u(t,y)
openaire +1 more source
Hydrogen Halide Gas Sensors: Active Materials, Operation Principles, and Emerging Technologies
Interdisciplinary Materials, EarlyView.This review considers hydrogen halide (HX) gas sensors across functional materials and principles: acoustic, chemical, optical and nanophotonic. The strong acidity and reactivity of HX gases are discussed as constraints for stability and selectivity of these devices.
Xiuzhen Liu +12 more
wiley +1 more source
Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
europepmc +1 more source
Photo‐Excitations in Halide Perovskites: Where Do Simulations and Experiments Meet?
Laser &Photonics Reviews, EarlyView.Aiming to bridge the gap between simulations and measurements of light–matter couplings and photo‐excitations in new functional materials, this perspective highlights insights and bottlenecks of state‐of‐the‐art experimental and theoretical methods (2D electronic spectroscopy vs.
Muhammad Sufyan Ramzan +5 more
wiley +1 more source
On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations
Abstract and Applied Analysis, 2012 We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established.
Allaberen Ashyralyev, Okan Gercek
doaj +1 more source
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems
, 2003 For a Dirac-type operator D with a spectral boundary condition, the associated heat operator trace has an expansion in powers and log-powers of t. Some of the log-coefficients vanish in the Atiyah-Patodi-Singer product case.
Grubb, Gerd
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