Results 101 to 110 of about 66,124 (297)
Type II blow up manifolds for the energy supercritical wave equation
, 2014 We consider the non linear focusing wave equation $\partial_{tt}u-\Delta u-u|u|^{p-1}=0$ in large dimensions and for radially symmetric data, in the energy supercritical zone for p large enough. We construct finite time blow up solutions that concentrate
Collot, Charles
core
Advanced Science, EarlyView.The ER's continuous tubular network is maintained by ER‐shaping proteins whose mutation or dysregulation contributes to neurodegenerative diseases. Here, we show that ER morphology sets the speed of Ca2+ store replenishment between firing events. Disrupting ER continuity slows intra‐ER Ca2+ redistribution from extracellular refill (SOCE) sites, driving
Valentina Davi +13 more
wiley +1 more source
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
doaj +1 more source
Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
, 2003 We study the blow-up behavior (in time and space) of positive solutions of a semilinear parabolic equation with a gradient term. Our main result is a sharp estimate for the spatial blow-up profile of radially decreasing solutions on a ball.
Marek Fila (16071293) +5 more
core
On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions [PDF]
, 1999 summary:We obtain some sufficient conditions under which solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions tend to zero or blow up in a finite time. We also give the asymptotic behavior of solutions which tend
Boni, Théodore K.
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Machine‐Learning Microfluidic Minute‐Scale Microorganism Metrics Monitoring(M6)
Advanced Science, EarlyView.ABSTRACT On‐site monitoring of microorganisms remains challenging because of low concentrations, strong background interference, and dynamic aerosol diffusion, particularly for aerosol‐transmitted pathogens. Here, we report a rapid detection platform that integrates a Puri‐focusing microfluidic chip, electrochemical impedance spectroscopy (EIS), and ...
Ning Yang +14 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
doaj
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
doaj +1 more source
Printable Conductive Hydrogels for Electrochemical Biosensing and Soft Bioelectronic Interfaces
Advanced Science, EarlyView.Flexible, conductive hydrogels that integrate printability, mechanical tunability, biocompatibility, and electronic performance remain challenging to achieve. Here, we develop 3D‐printable poly(ethylene glycol)–poly(pyrrole)‐ hydrogels with tissue‐like mechanics, high cytocompatibility, and robust electrochemical function.
Lukas Hein +6 more
wiley +1 more source
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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