Results 121 to 130 of about 8,945 (319)

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, M. Cristina Depassier   +1 more
doaj  

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 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

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, Zhengyang Liu, Sunghwan Jung   +2 more
wiley   +1 more source

Failure characteristics and the energy criterion of rock with a through‐going joint under true‐triaxial unloading conditions: Insights from the DEM model

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, Changhui Liang, Sijia Liu, Yongjun Zhang, Luo Wang   +4 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

Generalized Matsuoka–Nakai criterion considering hydrostatic pressure dependence in the brittle–ductile region

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, Junjie Xiao, Dongping Liu, Ying Xu   +3 more
wiley   +1 more source

On the nonlinear elliptic equations with symmetry

Journal of Mathematical Analysis and Applications, 1981
has a smooth solution with norm r in the appropriate function space. This theorem is based on an infinite-dimensional analogue of the following theorem of Borsuk: if D c R” is the unit disc in the euclidean space then for every odd mapping J D + Rk, k 1, then there is no G-equivariant mapf: S(v) + w\(O).
openaire   +2 more sources

Optimal control and admissible relaxation of uncertain nonlinear elliptic systems

, 1996
In this article we study the optimal control of uncertain systems monitored by nonlinear elliptic equations. First under convexity hypotheses, we show that the min–max problem has a solution.
Papageorgiou, NS, Papageorgiou, Nikolaos S.   +1 more
core   +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, Linming Dou, Wu Cai, Mingbo Chi, Guojun Xi, Shuai Chen, Biao Jiao   +6 more
wiley   +1 more source