Results 61 to 70 of about 29,271 (183)

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

The uniqueness of a nonlinear diffusion equation related to the p-Laplacian. [PDF]

J Inequal Appl, 2018
Zhan H.
europepmc   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

On the evolutionary p-Laplacian equation with a partial boundary value condition. [PDF]

J Inequal Appl, 2018
Zhan H.
europepmc   +1 more source

Advancing Quantitative Susceptibility Mapping With 2.5D Diffusion Models for Rapid Intracranial Hemorrhage Quantification

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong, Yang Gao, Feng Liu, Derek Emery, Ken Butcher, Alan H. Wilman, Hongfu Sun   +6 more
wiley   +1 more source

Complete quenching phenomenon for a parabolic p-Laplacian equation with a weighted absorption. [PDF]

J Inequal Appl, 2018
Zhu L.
europepmc   +1 more source

Characteristics of diabatically influenced cyclones with high wind damage potential in Europe

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Diabatic processes contribute, on average, 26% to the intensification of European winter storms, with diabatically driven cyclones exhibiting steeper deepening rates, stronger wind gusts, and increased precipitation. These storms are linked to enhanced warm conveyor belt (WCB) activity and develop in a warmer environment with elevated lower ...
Svenja Christ, Julian Quinting, Joaquim G. Pinto   +2 more
wiley   +1 more source

Remark on the Cauchy problem for the evolution p-Laplacian equation. [PDF]

J Inequal Appl, 2017
Wang L, Yin J, Cao J.
europepmc   +1 more source

Mesoscale and microphysical processes leading to extreme hourly rainfall prior to the merger of two mesoscale convective systems in Central China

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Short‐term extreme rainfall can be produced by the variation of low‐level warm moist airflow during mesoscale convective systems (MCSs) approaching another. The cold outflow of the rapidly moving MCS intensifies the warm moist airflow in front, enhancing the convergence and ascending motion in the quasi‐stationary MCS.
Xiaoyu Gao, Yali Luo, Jinfang Yin, Chong Wu   +3 more
wiley   +1 more source