Results 81 to 90 of about 59,272 (301)
Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential [PDF]
, 2023 Razvan Gabriel Iagar +2 more
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Advanced Materials Technologies, EarlyView.Additive manufacturing revolutionizes production by enabling on‐demand, customized, and sustainable manufacturing with streamlined supply chains. While metal and polymer AM are well‐established, advanced ceramic AM is rapidly emerging, overcoming traditional material challenges.
Kateryna Oleksandrivna Shvydyuk +2 more
wiley +1 more source
Blow up and quenching for a problem with nonlinear boundary conditions
Electronic Journal of Differential Equations, 2015 In this article, we study the blow up behavior of the heat equation $ u_t=u_{xx}$ with $u_x(0,t)=u^{p}(0,t)$, $u_x(a,t)=u^q(a,t)$. We also study the quenching behavior of the nonlinear parabolic equation $v_t=v_{xx}+2v_x^{2}/(1-v)$ with $v_x(0,t)=(1-v(
Nuri Ozalp, Burhan Selcuk
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MATEC Web of Conferences, 2018 After the construction of an ultra-thin concrete pavement, ambient temperatures may induce an axial force within the pavement due to thermal expansion that can lead to the formation of a blow-up failure.
Mentz Johannes, Hartman Anton
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Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation [PDF]
, 2010 Pablo Álvarez‐Caudevilla +1 more
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Advanced Materials Technologies, EarlyView.The patch mimics the dual physicochemical adhesion mechanisms of gecko toe micropillars and spider silk proteins, enabling strong interfacial bonding via partially cured micropillars. Its facile fabrication allows customization for precision medicine, while its motion responsiveness offers potential for real‐time wound monitoring.
Chengxin Luan +4 more
wiley +1 more source
Resistive Heating for Inducing Localized Crystal Growth in Organic Thin Film Devices
Advanced Materials Technologies, EarlyView.Rubrene thin films are promising for organic optoelectronics due to high hole mobility. However, uncontrolled crystallization and grain boundaries from standard thermal processing hinder lateral device scalability. This work presents femtosecond‐laser micromachining and patterned resistive heating to induce localized, deterministic crystallization ...
Anna‐Lena Hofmann +9 more
wiley +1 more source
International Journal of Analysis and Applications, 2014 This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of nonnegative solutions are determined.
Iftikhar Ahmed, Chunlai Mu, Pan Zheng
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Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions
Journal of Function Spaces, 2016 This paper deals with blow-up and global solutions of the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: g(u)t=∇·au∇u+fu in Ω×0,T, ∂u/∂n=bx,u,t on ∂Ω×(0,T), u(x,0)=u0(x)>0, in Ω¯, where Ω⊂RN (N≥2) is a ...
Juntang Ding
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