Results 121 to 130 of about 581,251 (325)
Bounds for nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2001 We develop a technique for obtaining bounds on bifurcation curves of nonlinear boundary-value problems defined through nonlinear elliptic partial differential equations.
Rafael D. Benguria +1 more
doaj
Acoustic‐driven surface cleaning with millimeter‐sized bubbles at translational resonance
Droplet, EarlyView.Time‐lapse visualization comparing bubble trajectories. The top panel (0 Hz) shows a bubble's linear path under no acoustic forcing, while the bottom panel (50 Hz) demonstrates the oscillatory motion induced by acoustic waves at a resonance mode. This mechanism holds promising potential for applications such as surface cleaning.
Yan Jun Lin +2 more
wiley +1 more source
Deep Underground Science and Engineering, EarlyView.The rock failure mode is significantly influenced by the contributing factors, such as the joint inclination, the initial confining pressure, and the unloading point. We found six typical rock failure modes after a large number of numerical tests. Abstract Excavation unloading damages rock masses, with preferential failure along geological defects in ...
Fei Liu +4 more
wiley +1 more source
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions.
R. Bader, W. Merz
doaj +1 more source
Deep Underground Science and Engineering, EarlyView.Three sets of strength data were selected, including hydrostatic pressure independent within the brittle region (HPI‐B), hydrostatic pressure dependent within the brittle region (HPD‐B), and hydrostatic pressure dependent within the brittle–ductile region (HPD‐BD). For HPI type, the failure envelope within the deviatoric plane remains constant.
Jiacun Liu +3 more
wiley +1 more source
Semilinear problems with bounded nonlinear term
Boundary Value Problems, 2005 We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term.
Martin Schechter
doaj +1 more source
An optimizing microseismic method for rock burst early warning based on mining production process
Deep Underground Science and Engineering, EarlyView.A classification early warning method of rock burst based on hourly microseismic data is proposed, which can be combined with the on‐site production process to provide more timely warning. Abstract Microseismic (MS) events have been reported in nearly every coal mining country, which could well lead to rock burst in underground coal mines.
Zepeng Han +6 more
wiley +1 more source
Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
wiley +1 more source
Electronic Journal of Differential Equations, 2005 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj
Deep Underground Science and Engineering, EarlyView.The tensile strength of granite, a proposed host for nuclear waste, degrades severely above 400°C. We link this to specific microcracking patterns captured by acoustic emission, establishing a scientific basis for assessing repository safety under thermal load.
Wei Zeng +7 more
wiley +1 more source