Results 111 to 120 of about 366,215 (335)
A review of multiscale numerical modeling of rock mechanics and rock engineering
Deep Underground Science and Engineering, EarlyView.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
wiley +1 more source
New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation
Journal of Applied Mathematics, 2014 The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave ...
Peng Guo, Xiang Wu, Liangbi Wang
doaj +1 more source
nonlinear elliptic equations with singular reaction
Osaka Journal of Mathematics, 2016 We study a nonlinear elliptic equation with a singular term and a continuous perturbation. We look for positive solutions. We prove three multiplicity theorems producing at least two positive solutions. The first multiplicity theorem concerns equations driven by a nonhomogeneous in general differential operator.
Papageorgiou, Nikolaos S +1 more
openaire +4 more sources
A remark on the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities [PDF]
arXiv, 2008 We consider the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities. We deduce the uniqueness from the argument in the classical paper by Peletier and Serrin, thereby recovering a part of the uniqueness result of Ouyang and Shi.
arxiv
ELECTROPHORESIS, EarlyView.ABSTRACT In diabetes management, oral formulation of insulin (INS) has the potential to improve safety, convenience, and patient‐centered care compared to subcutaneous injections. However, its bioavailability remains limited, necessitating improved delivery strategies.
Chang Sun +3 more
wiley +1 more source
Nonlinear elliptic functional equations in nonreflexive Banach spaces [PDF]
, 1966 Felix E. Browder
openalex +1 more source
Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions [PDF]
Communications on Pure and Applied Mathematics 66 (2013),
1653-1662, 2012 We prove that there is no nontrivial homogeneous order 2 solutions of fully nonlinear uniformly elliptic equations in dimension 4.
arxiv
Safe passage of American Eels through a novel hydropower turbine
Transactions of the American Fisheries Society, Volume 151, Issue 6, Page 711-724, November 2022., 2022 Abstract Objective Study the effects of downstream passage through a novel turbine designed for fish safety, the Restoration Hydro Turbine (RHT), on American Eels Anguilla rostrata in a recirculating turbine test facility. Methods A 55‐cm‐diameter RHT was operated under 10 m of hydraulic head and 667 revolutions/min.
Sterling Watson +7 more
wiley +1 more source
Journal of Applied Mathematics, 2014 The solving processes of the homogeneous balance method, Jacobi elliptic function expansion method, fixed point method, and modified mapping method are introduced in this paper.
Shi Jing, Yan Xin-li
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