Results 71 to 80 of about 11,046,071 (291)
Existence and non-existence of global solutions for a semilinear heat equation on a general domain
Electronic Journal of Differential Equations, 2014 We consider the parabolic problem $u_t-\Delta u=h(t) f(u)$ in $\Omega \times (0,T)$ with a Dirichlet condition on the boundary and $f, h \in C[0,\infty)$. The initial data is assumed in the space $\{ u_0 \in C_0(\Omega); u_0\geq 0\}$, where $\Omega$
Miguel Loayza, Crislene S. da Paixao
doaj
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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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
Electronic Journal of Differential Equations, 1995 Dirichlet problem of the form $${ m div,} (A(|Du|)Du)=f(u) { m in } Omega $$ $$ u = 0 { m on } partialOmega $$ is studied by using blow-up techniques. It is proven here that by choosing the functions $sA(s)$ and $f(s)$ among a certain class called {em ...
M. Garcia-Huidobro +2 more
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Boundary Value Problems, 2019 In this paper, we consider the blow-up result of solution for a quasilinear viscoelastic wave equation with strong damping and boundary nonlinear damping.
Mi Jin Lee, Jum-Ran Kang, Sun-Hye Park
doaj +1 more source
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
wiley +1 more source
The boundary blow-up rate of large solutions
Journal of Differential Equations, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
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
wiley +1 more source
The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations
Journal of Applied Mathematics, 2013 We investigate the traveling wave solutions and their bifurcations for the BBM-like B(m,n) equations ut+αux+β(um)x−γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems.
Shaoyong Li, Zhengrong Liu
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Minimal mass blow up solutions for a double power nonlinear Schrödinger equation [PDF]
, 2016 International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, where one power is focusing and mass critical and the other mass sub-critical. Classical variational arguments ensure that initial data with mass less than
Le Coz, Stefan +2 more
core +1 more source