Results 51 to 60 of about 8,028,955 (283)
Blow-Up Solution of a Porous Medium Equation with Nonlocal Boundary Conditions
Complexity, 2020 In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence
Huimin Tian, Lingling Zhang
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Advanced Materials, EarlyView.The mechanical performance of nanocellular polyetherimide cannot be explained by nanoporosity alone. It is shown that CO2 saturation and desorption leave a distinct mechanical signature in the glassy matrix before foaming. This matrix contribution provides a new route to understand and optimize the brittle to ductile transition in nanocellular polymers.
Félix Lizalde‐Arroyo +7 more
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Blow-up analysis for parabolic equations and systems via an auxiliary functional approach
Advances in Nonlinear AnalysisThis paper considers the finite-time blow-up of solutions to semilinear parabolic equations and systems. Using a direct functional method, we first study single equations with source terms f(u) = u p and f(u) = u p + u q.
Chen Shaohua, Lawless Marcus, Lian Wei
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Advanced Materials, EarlyView.Water harvesting, radiative cooling, and interfacial solar evaporation are fundamentally governed by coupled heat, mass, and light transport processes. These processes are mediated by pore architecture, including pore size, connectivity, and hierarchical organization.
Dejan J. Trajkovski +5 more
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Blow-up of solutions for a system of nonlinear parabolic equations
Electronic Journal of Differential Equations, 2013 The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-
Shun-Tang Wu Wu
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Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient
, 2011 100學年度研究獎補助論文We study the initial boundary value problem and Cauchy problem for the semilinear heat equation with power nonlinearity and spatially dependent coefficient.
Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko +1 more
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Programmable Pneumatic Actuator System for a Bioinspired Artificial Colon
Advanced Materials Technologies, EarlyView.A modular soft robotic colon simulator driven by programmable pneumatic actuation is developed to mimic physiological and pathological‐like motility patterns of the large intestine. Finite element–guided design and distributed control enable anatomically realistic deformation for peristalsis, segmentation, and mass movements, supporting capsule ...
Andrew Bickerdike +6 more
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Abstract and Applied Analysis, 2013 Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the generalized Zakharov equations utt-cs2uxx=β(|E|2)xx, iEt+αExx-δ1uE+δ2|E|2E+δ3|E|4E=0, where α,β,δ1,δ2,δ3, and cs are real parameters, E=E(x,t) is a complex ...
Shaoyong Li, Rui Liu
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Advanced Optical Materials, EarlyView.A back‐end‐of‐line‐compatible microheater platform enables localized synthesis and reversible switching of high‐quality VO2 directly on silicon photonic chips. The approach overcomes conventional thermal‐budget and patterning constraints while delivering device performance comparable to high‐temperature‐grown films, providing a scalable pathway for ...
Khoi Phuong Dao +7 more
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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
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