Results 111 to 120 of about 12,449,820 (291)
Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations
Electronic Journal of Differential Equations, 2017 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
Transposable Element–Driven PIEZO Mutation Enhances Locust Flight in Plateau Hypoxia
Advanced Science, EarlyView.Why transposable elements (TEs) persisted or expanded in genomes remains a mystery. Using integrated analysis of TE macro‐ and microevolution in locusts, our results showed that thousands of TE insertions promoted widespread adaptive variation. Subfamilies of candidate adaptive TEs amplified and reshaped species‐level genomic architecture.
Xuanzhao Li +8 more
wiley +1 more source
Coupled versus uncoupled blow-up rates in cooperative n-species Logistic Systems
, 2017 This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN of class C 2+ν, 0 < ν < 1.
López Gómez, Julián, Maire, Luis
core +1 more source
Asymptotic behavior of positive solutions of the nonlinear differential equation t^2u''=u^n
Electronic Journal of Differential Equations, 2013 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
Advanced Science, EarlyView.This study identifies that the PD‐associated TMEM175‐L156P variant disrupts lysosomal ion channel trafficking by causing aberrant endoplasmic reticulum retention. A “chaperone–agonist” bifunctional small molecule restores TMEM175‐L156P lysosomal localization and channel function, thereby alleviating PD‐relevant cellular phenotypes and highlighting a ...
Ting Luo +17 more
wiley +1 more source
On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion
, 2020 We consider the asymptotic behavior of motion of polygonal convex curves by crystalline curvature in the plane. There appear spontaneously two types of singularity: one is single point extinction and the other is degenerate pinching.
Shigetoshi Yazaki, Tetsuya Ishiwata
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Abstract and Applied Analysis, 2012 This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang +2 more
doaj +1 more source
Toward High‐Resolution Polymeric Neural Interfaces: A Practical Guide for Electron Beam Lithography
Advanced Science, EarlyView.Electron beam lithography (EBL) enables sub‐micron patterning of polymer‐based neural implants, overcoming the resolution limits of optical lithography. By addressing challenges such as charging, non‐planarity, and substrate heating, it supports higher channel density, improved miniaturization, and better long‐term tissue integration.
Hanna Karlsson‐Fernberg, Maria Asplund
wiley +1 more source
A Quasilinear Parabolic System with Nonlocal Boundary Condition
Boundary Value Problems, 2011 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
The blow-up rate of solutions of semilinear heat equations
Journal of Differential Equations, 1989 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