Results 111 to 120 of about 9,396 (291)
Estimates for solutions to a class of nonlinear time-delay systems of neutral type
Electronic Journal of Differential Equations, 2015 We consider nonlinear time-delay systems of neutral type with constant coefficients in the linear terms, $$ \frac{d}{dt}\big(y(t) + D y(t-\tau)\big) = A y(t) + B y(t-\tau) + F(t, y(t), y(t-\tau)).
Gennadii V. Demidenko +1 more
doaj
Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source
Abstract and Applied Analysis, 2012 We investigate the blow-up properties of the positive solution of the Cauchy problem for a quasilinear degenerate parabolic equation with strongly nonlinear source ut=div(|∇um|p−2∇ul)+uq, (x,t)∈RN×(0,T), where N≥1, p>2 , and m, l, q>1, and give a ...
Pan Zheng +4 more
doaj +1 more source
Root‐Stimulated Movements in Mimosa Pudica for Biohybrid Robotic Systems
Advanced Robotics Research, EarlyView.This study demonstrates that thermal and electrical stimulation of Mimosa pudica root induces movement of the petiole and pinnules without direct stimulation of the aerial organs, thereby enabling a plant‐based robotic gripper and providing a foundation for the development of intelligent and sustainable systems.
Misao Sato +6 more
wiley +1 more source
Electronic Journal of Differential Equations, 2018 We consider the initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. Constructing a family of potential wells and using the logarithmic Sobolev inequality, we establish the existence of ...
Yang Cao, Conghui Liu
doaj
Superexponential decay of solutions of a semilinear wave equation
, 1979 Consider a smooth solution of utt − Δu + q(x) ¦ u ¦p−1u = 0 x ϵ R3, q ⩾ 0 and is C1, and 1 < p < 5. Assume that the initial data decay sufficiently rapidly at infinity, q(x) ⩽ a exp(−b ¦ x ¦c), a, b > 0, c > 1, and for simplicity, qr ⩽ 0.
Lin, Jeng-Eng
core +1 more source
Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
Advanced Science, EarlyView.The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
wiley +1 more source
Riesz transform on manifolds with quadratic curvature decay.
, 2015 International audienceWe investigate the $L^p$-boundness of the Riesz transform on Riemannian manifolds whose Ricci curvature has quadratic decay. Two criteria for the $L^p$-unboundness of the Riesz transform are given.
Carron, Gilles, Gilles Carron
core +1 more source
Traction Force Microscopy for Viscoelastic Substrates: A Semi‐Analytical Method
Advanced Science, EarlyView.A semi‐analytical viscoelastic traction force microscopy framework is introduced for quantifying time‐resolved cell tractions on flat finite‐thickness substrates. The method generalizes elastic traction force microscopy to Generalized Maxwell materials, identifies when elastic approximations remain valid and, when they do not, shows that inferred ...
Adrià Villacrosa‐Ribas +10 more
wiley +1 more source
Advanced Science, EarlyView.A snap‐top delivery nanosystem based on an azobenzene metal–organic framework achieves targeted release of 6‐mercaptopurine via acid‐stable frameworks and hypoxia/pH dual‐responsive β‐cyclodextrin gates. This multifunctional platform integrates three synergistic mechanisms: precision drug delivery to inflammatory sites, intrinsic antioxidant properties
Xin Li +6 more
wiley +1 more source
The viscosity limit of fluid flows with growth/decay conditions at infinity
We prove that the Navier-Stokes equation is well-posed in function spaces on $\mathbb{R}^d$, $d\ge 2$, that contain vector fields of order $O(|x|^κ)$ as $|x|\to\infty$ with $κ<1/2$. The corresponding solutions depend continuously on the viscosity parameter $ν\ge 0$ and converge to the solutions of the Euler equation as $ν\to 0+$.
McOwen, R., Topalov, P.
openaire +2 more sources