Results 71 to 80 of about 12,650 (261)
Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
wiley +1 more source
The Dirichlet Problem for the Equation Δu−k2u=0 in the Exterior of Nonclosed Lipschitz Surfaces
International Journal of Mathematics and Mathematical Sciences, 2013 We study the Dirichlet problem for the equation Δu−k2u=0 in the exterior of nonclosed Lipschitz surfaces in R3. The Dirichlet problem for the Laplace equation is a particular case of our problem. Theorems on existence and uniqueness of a weak solution of
P. A. Krutitskii
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Multiple solutions of nonlinear boundary value problems with oscillatory solutions
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Entropy (Basel), 2021 Mawhin J +2 more
europepmc +1 more source
Finite Element Analysis for Li Batteries at the Mesoscale
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Finite element analysis (FEA), through multi‐physics coupling, has been widely employed to calculate mesoscale structures in LIBs that exhibit inherent randomness and disorder (Figure a). It has been extensively applied to the investigation of critical phenomena such as Li dendrite evolution, Li+ concentration gradients, SEI film growth, particle ...
Guanwu Li +3 more
wiley +1 more source
Synonym‐based multi‐keyword ranked search with secure k‐NN in 6G network
IET Networks, EarlyView., 2022 Abstract Sixth Generation (6G) integrates the next generation communication systems such as maritime, terrestrial, and aerial to offer robust network and massive device connectivity with ultra‐low latency requirement. The cutting edge technologies such as artificial intelligence, quantum machine learning, and millimetre enable hyper‐connectivity to ...
Deebak Bakkiam David, Fadi Al‐Turjman
wiley +1 more source
Journal of Inequalities and Applications, 2008 We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the Dirichlet-Neumann mixed boundary value problem.
Bin Wu
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows
International Journal for Numerical Methods in Fluids, EarlyView.In this study, we evaluated the implicit large‐eddy simulation capabilities of the mass‐conserving mixed stress method for transitional turbulent flows and proposed an efficient solution method for large‐scale applications. The results presented in this work show promising outcomes for incompressible aerodynamic flow problems, which can be further ...
Philip L. Lederer +2 more
wiley +1 more source
The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains
Advances in Mathematical Physics, 2018 We propose a new method for constructing an approximate solution of the two-dimensional Laplace equation in an arbitrary doubly connected domain with smooth boundaries for Dirichlet boundary conditions.
Atallah El-shenawy, Elena A. Shirokova
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