Results 91 to 100 of about 173,470 (308)
Journal of Applied Mathematics, 2012 We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
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Global and blow up solutions to cross diffusion systems on 3D domains [PDF]
, 2016 Dung Le, Vu T. Nguyen
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Advanced Functional Materials, EarlyView.An epi‐intraneural interface is developed through in silico optimization and a novel tridimensional microfabrication pipeline. The device integrates penetrating and epineural contacts on a flexible substrate. Mechanical, electrochemical, and in vivo testing in rat and pig reveal robust implantation, low‐threshold activation, and site‐dependent ...
Federico Ciotti +14 more
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Simultaneous and non-simultaneous blow-up and uniform blow-up profiles for reaction-diffusion system
Electronic Journal of Differential Equations, 2012 This article concerns the blow-up solutions of a reaction-diffusion system with nonlocal sources, subject to the homogeneous Dirichlet boundary conditions.
Zhengqiu Ling, Zejia Wang
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Differential Equations and Nonlinear Mechanics, 2007 This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of ...
Zhoujin Cui, Zuodong Yang
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Total blow-up versus single point blow-up
Journal of Differential Equations, 1988 The authors study blow-up of non negative solutions to a quasilinear parabolic equation describing the temperature perturbation during the ignition process of a reactive gas in a spherical container. The equation is of the form \(u_ t-\Delta u=f(u)+g(t),\) and is supplemented with zero Dirichlet boundary conditions and with a non negative initial datum
Bebernes, J, Bressan, A, Lacey, A
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Switchable Thermal Mid‐IR Conducting Polymer Antenna Arrays
Advanced Functional Materials, EarlyView.This study presents switchable mid‐infrared plasmonic resonances in PEDOT antenna arrays. Their optical extinction peaks can be reversibly switched ‘OFF’ and ‘ON’ by tuning the polaronic charge carrier concentration via the polymer's redox state, offering modulation of optical responses in the thermal mid‐infrared range including around 10 µm ...
Pravallika Bandaru +5 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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Advanced Healthcare Materials, EarlyView.This work presents a “tooth‐on‐chip” device that mimics dental pulp tissue. By co‐culturing key cell types, it recreates vascular networks, stem cell niches, the odontoblast/dentine interface, and trigeminal innervation. This innovative platform provides a unique model of dental pulp structure and physiology, with significant potential for accelerating
Alessandro Cordiale +6 more
wiley +1 more source