Results 111 to 120 of about 13,013,114 (294)
The blow-up rate for a loglog non-scaling invariant semilinear wave equation
We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given by the solution of the associated ODE which has the same blow-up time.
Zaag, Hatem, Roy, Tristan
core
Adaptive Cellular Responsiveness to Electrical Stimulation at the Skin‐Electrode Interface
This study presents an adaptive bioelectronic response in which sustained electrical stimulation (ES) upregulates voltage‐gated calcium channels (VGCCs) and enhances cellular sensitivity to subsequent ES at the skin‐device interface. VGCC‐associated adaptive sensitization promotes regenerative wound‐healing responses in vivo, including accelerated ...
Yeon Jae Chang +11 more
wiley +1 more source
Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations
Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [38] which gives the natural blow-up
Kazumasa Fujiwara +2 more
doaj
Organic permeable base transistors are shown to benefit from balanced control of the semiconductor layers above and below the permeable base. Simulations and experiments indicate that the top semiconductor layer affects charge injection and lateral transfer length, while the bottom layer modulates the collector‐induced short‐channel effects.
Sun‐Woo Jo +4 more
wiley +1 more source
Asymptotic behavior of positive solutions of the nonlinear differential equation t^2u''=u^n
In this article we study properties of positive solutions of the ordinary differential equation $t^2u''=u^n$ for ...
Meng-Rong Li, Hsin-Yu Yao, Yu-Tso Li
doaj
The blow-up rate of solutions of semilinear heat equations
This paper deals with the asymptotic behavior of the solution of the semilinear equation \[ u_ t-\Delta u=e^ u\quad in\quad \Omega \times (0,T),\quad u=-K\leq 0\quad on\quad \partial \Omega \times (0,T), \] \[ u(x,0)=\phi (x)\geq -K\quad for\quad x\in \Omega \subset {\mathbb{R}}^ n, \] near the blow up points as \(t\to T\). The main result (Theorem 5.4)
openaire +1 more source
ABSTRACT In emerging economies where smallholder farming dominates agricultural production, agribusinesses serve as critical intermediaries linking smallholders to broader markets, and their resilience directly affects agricultural sustainability. Short‐term‐oriented capital is reluctant to adequately finance highly uncertain and cyclical agricultural ...
Siyuan Lyu +5 more
wiley +1 more source
Blow-up rates for the general curve shortening flow
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Lumped modeling of bubbling fluidized beds for high‐temperature processes
Abstract Bubbling fluidized beds (BFBs) have been a source of study for multiple decades. Among other applications, they can be used as scalable reactors for the conversion of biomass and waste resources to fuels. Several experimental and computational studies have been devoted to correlating the interplay of hydrodynamics and heat and mass transfer in
Ravi Ramesh +3 more
wiley +1 more source
A Quasilinear Parabolic System with Nonlocal Boundary Condition
We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal ...
Mu Chunlai, Chen Botao, Mi Yongsheng
doaj

