Results 61 to 70 of about 22,806,811 (229)

Advancing Plant Microbiome Research Through Host DNA Depletion Techniques

Plant Biotechnology Journal, EarlyView.
The plant microbiome plays an essential role in promoting plant growth, enhancing stress tolerance and maintaining overall plant health. Metagenomic technologies have significantly expanded our ability to investigate plant–microbe interactions at high taxonomic and functional resolutions.
Yao Wang, Junbo Yang, Huiyu Hou, Luyang Song, Xu Cheng, Yong‐Xin Liu   +5 more
wiley   +1 more source

Lagrangian vector field and Lagrangian formulation of partial differential equations

Condensed Matter Physics, 2005
In this paper we consider the Lagrangian formulation of a system of second order quasilinear partial differential equations. Specifically we construct a Lagrangian vector field such that the flows of the vector field satisfy the original system of ...
M.Chen
doaj   +1 more source

Global boundedness in a quasilinear fully parabolic chemotaxis system with indirect signal production

, 2017
In this paper we develop a new and convenient technique, with fractional Gagliardo-Nirenberg type inequalities inter alia involved, to treat the quasilinear fully parabolic chemotaxis system with indirect signal production: \begin{document}$ u_t = \nabla\
Mengyao Ding, Wei Wang
semanticscholar   +1 more source

Global solutions for quasilinear parabolic systems

Journal of Differential Equations, 2004
An approach is presented for proving the global existence of classical solutions of the quasilinear parabolic systems like \[ u_t-\text{ div}(a(t,x,u,v)\nabla u)=f(t,u,v,\nabla u), \quad t>0, \] \[ v_t-\alpha\,\text{ div}(b(t,x,v)\nabla v)=g(t,u,v,\alpha\nabla v), \quad t>0, \] with homogeneous Dirichlet boundary condition in bounded domain with smooth
Constantin, Adrian, Escher, Joachim, Yin, Zhaoyang   +2 more
openaire   +1 more source

Trade costs, infrastructure, and dynamics in a global economy

International Journal of Economic Theory, Volume 22, Issue 1, Page 40-62, March 2026.
Abstract This study develops a dynamic two‐country model with trade costs linked to international infrastructure stock. With variable markups and firm heterogeneity, the welfare impact of trade costs depends on firms' cost distribution. Governments engage in a dynamic public investment game, leading to multiple steady states. The dynamic equilibrium of
Akihiko Yanase
wiley   +1 more source

Lyapunov-type inequalities for n-dimensional quasilinear systems

Electronic Journal of Differential Equations, 2013
In this article, inspired by the paper of Yang et al [12], we establish new versions of Lyapunov-type inequalities for a certain class of Dirichlet quasilinear systems.
Mustafa Fahri Aktas
doaj  

An Eigenvalue Problem for Quasilinear Systems

Rocky Mountain Journal of Mathematics, 2007
This paper deals with the existence of positive solutions for the \(n\)-dimensional quasilinear system \[ ({\mathbf \Phi}({\mathbf u}'))' + \lambda {\mathbf h}(t) {\mathbf f}({\mathbf u}) = 0, \quad 0 < t < 1 \] with the boundary condition \({\mathbf u}(0)={\mathbf u}(1)=0\), where \({\mathbf u}=(u_1,\dots,u_n)\), \({\mathbf \Phi}({\mathbf u ...
Henderson, Johnny, Wang, Haiyan
openaire   +2 more sources

Ion‐Scale Wave Emission and Absorption for Non‐Maxwellian Velocity Distributions in the Inner Heliosphere

Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Hot and tenuous plasmas have velocity distribution functions (VDFs) significantly different from Maxwellian distributions. Characterizing how these differences impact wave damping and emission necessitates sophisticated methods for determining the associated dielectric plasma response.
K. G. Klein, D. Larson, R. Livi, M. M. Martinović, A. Rahmati, N. Shankarappa, M. Stevens, D. Verscharen, P. Whittlesey   +8 more
wiley   +1 more source

Multiple Positive Solutions for a Quasilinear Elliptic System Involving Concave-Convex Nonlinearities and Sign-Changing Weight Functions

International Journal of Mathematics and Mathematical Sciences, 2012
Let Ω∋0 be an-open bounded domain in ℝ𝑁(𝑁≥3) and 𝑝∗=(𝑝𝑁/(𝑁−𝑝)). We consider the following quasilinear elliptic system of two equations in 𝑊01,𝑝(Ω)×𝑊01,𝑝(Ω): −Δ𝑝𝑢=𝜆𝑓(𝑥)|𝑢|𝑞−2𝑢+(𝛼/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼−2𝑢|𝑣|𝛽,−Δ𝑝𝑣=𝜇𝑔(𝑥)|𝑣|𝑞−2𝑣+(𝛽/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼|𝑣|𝛽−2𝑣, where 𝜆,𝜇 ...
Tsing-San Hsu
doaj   +1 more source

The Dominant Role of the Electron Isotropy Boundary in Controlling Earth's Outer Radiation Belt Electron Lifetimes

Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Field‐line curvature scattering (FLCS) is believed to be the primary mechanism forming electron isotropy boundaries (IB) and can rapidly scatter relativistic electrons from the outer radiation belt. However, its direct and quantitative impact on controlling outer belt electron lifetimes has never been directly assessed.
Man Hua, Xiaofei Shi, Jacob Bortnik, Anton Artemyev, Vassilis Angelopoulos, Yoshizumi Miyoshi, Takefumi Mitani, James L. Burch, Takeshi Takashima, Tomoaki Hori, Ayako Matsuoka, Mariko Teramoto, Kazuhiro Yamamoto, Yoshiya Kasahara, Fuminori Tsuchiya, Atsushi Kumamoto, Atsuki Shinbori, Iku Shinohara   +17 more
wiley   +1 more source