Results 61 to 70 of about 12,449,820 (291)
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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Blow-up rate for parabolic problems with nonlocal source and boundary flux
Electronic Journal of Differential Equations, 2003 We determine the blow-up rate and the blow-up set for a class of one-dimensional nonlocal parabolic problems with opposite source term and boundary flux.
Arnaud Rougirel
doaj
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
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Journal of Inequalities and Applications, 2020 In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain Ω. Based on the blow-up criterion and uniform estimates, we prove that the strong solution exists globally in ...
Zhaoyang Shang, Fuquan Tang
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Advanced Materials, EarlyView.This study demonstrates the combination of magnetic nanoparticles and functional blowing agents into supraparticles. Upon induction heating, they actuate via rapid gas generation or extensive volume expansion. These supraparticles lift up to 25 000 times their own mass and rapidly open cured epoxy resins, providing a versatile strategy for fast micron ...
Leoni Luthardt +3 more
wiley +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
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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
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
On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration
Boundary Value Problems, 2020 This paper deals with a class of Petrovsky system with nonlinear damping w t t + Δ B 2 w − k 2 Δ B w t + a w t | w t | m − 2 = b w | w | p − 2 $$\begin{aligned} w_{tt}+\Delta _{\mathbb{B}}^{2}w-k_{2} \Delta _{\mathbb{B}}w_{t}+aw_{t} \vert w_{t} \vert ^{m-
Jiali Yu, Yadong Shang, Huafei Di
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Boundary Value Problems, 2023 This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary damping-source interactions in a bounded domain. Under suitable assumptions on the kernel function g, density function, and M, the global existence and ...
Meriem Saker +2 more
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