Results 61 to 70 of about 13,013,114 (294)
Blow-Up Rate Estimates for Semilinear Parabolic Systems
Journal of Differential Equations, 2001 Let \(\Omega\) be a smoothly bounded domain in \(\mathbb R^n\), \(p,q>0\), \(pq>1\), \(\alpha:=(p+1)/(pq-1)\), \(\beta:=(q+1)/(pq-1)\). Consider the parabolic system \(u_t=\Delta u+v^p\), \(v_t=\Delta v+u^q\), \(x\in\Omega\), \(t>0\), complemented by the homogeneous Dirichlet boundary conditions and the initial conditions \(u(x,0)=u_0(x)\), \(v(x,0 ...
openaire +1 more source
Advanced Materials Interfaces, EarlyView.Hemagglutinin precomplexation with antibodies (Abs) results in broad valency distributions, though it increases the total avidity from mM to nM to high nM. The valency distribution and the orientation of multivalent HA‐Ab complexes determine the extent of binding to different types of assays, whether the receptors are displayed in 2D or 3D.
Daniel Y. E. L. Tambuwun +8 more
wiley +1 more source
Biodegradable and Edible Milli‐Fluidic Logic Circuits
Advanced Materials Technologies, EarlyView.Fully biodegradable and edible fluidic circuits are developed using gelatin‐based valves that operate at low pressure. Logic gates, a one‐bit memory, and a ring oscillator are demonstrated, showing that biodegradable materials can perform computation and control.
Shuhang Zhang +3 more
wiley +1 more source
Journal of Inequalities and Applications, 2016 In this paper, we study the blow-up and global solutions of the following nonlinear reaction-diffusion equations under Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( a ( u ) b ( x ) ∇ u ) + f ( x , u ) in D × ( 0 , T ) , ∂ u ∂ n = 0 on ∂ D × ( 0 ,
Juntang Ding
doaj +1 more source
Advanced Materials Technologies, EarlyView.Single‐filament material extrusion enables spatial stiffness programming through locally controlled thermal foaming of TPU. A data‐driven G‐code framework tunes porosity from 15.7% to 40.7% and hardness from 90 to 63 Shore A within and across layers. Monolithic hands and soft actuators consequently achieve distinct programmed motions without material ...
Rosanna Rifino +3 more
wiley +1 more source
Advanced Robotics Research, EarlyView.Visual teach‐and‐repeat (VTR) navigation allows robots to learn and follow routes without building a full metric map. We show that navigation accuracy for VTR can be improved by integrating a topological map with error‐drift correction based on stereo vision.
Fuhai Ling, Ze Huang, Tony J. Prescott
wiley +1 more source
Blow-up phenomena for p-Laplacian parabolic problems with Neumann boundary conditions
Boundary Value Problems, 2017 In this paper, we deal with the blow-up and global solutions of the following p-Laplacian parabolic problems with Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) + k ( t ) f ( u ) in Ω × ( 0 , T ) , ∂ u ∂ n = 0 on ∂ Ω × ( 0 , T
Juntang Ding
doaj +1 more source
Advanced Robotics Research, EarlyView.An enhanced universal gripper combining rigid mechanics with self‐adaptable fingers is presented for industrial automation. The novel six‐bar linkage with integrated compliant pad eliminates mechanical interference while enabling passive shape adaptation.
Muhammad Usman Khalid +7 more
wiley +1 more source
Blow-up in reaction-diffusion equations with exponential and power-type nonlinearities [PDF]
, 2011 In this dissertation we study blow-up phenomena in semilinear parabolic equations with both exponential and power-type nonlinearities. We study the behavior of the solutions as the blow-up moment in time and the blow-up point in space are approached ...
Pulkkinen, Aappo
core +1 more source
Journal of Inequalities and Applications, 2018 This paper is devoted to studying the global existence and blow-up results for the following p-Laplacian parabolic problems: {(h(u))t=∇⋅(|∇u|p−2∇u)+f(u)in D×(0,t∗),∂u∂n=g(u)on ∂D×(0,t∗),u(x,0)=u0(x)≥0in D‾.
Juntang Ding
doaj +1 more source