Results 41 to 50 of about 1,169 (79)

Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems

Open Mathematics, 2020
The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galërkin’s method.
Fu Yongqiang, Yan Lixu
doaj   +1 more source

Existence and stability of fourth-order nonlinear plate problem

Nonautonomous Dynamical Systems, 2019
In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
doaj   +1 more source

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source

A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization

, 2015
We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in character to a criterion proposed in a previous work by the authors, but it is ...
Larios, Adam, Titi, Edriss S.
core  

Existence of Positive Ground State Solutions for Choquard Systems

Advanced Nonlinear Studies, 2020
We study the existence of positive ground state solution for Choquard systems. In the autonomous case, we prove the existence of at least one positive ground state solution by the Pohozaev manifold method and symmetric-decreasing rearrangement arguments.
Deng Yinbin, Jin Qingfei, Shuai Wei
doaj   +1 more source

Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal. [PDF]

Acta Math Sci, 2022
Yang L, Yang YR, Song X.
europepmc   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Sliding methods for dual fractional nonlinear divergence type parabolic equations and the Gibbons’ conjecture

Advanced Nonlinear Studies
In this paper, we consider the general dual fractional parabolic problem ∂tαu(x,t)+Lu(x,t)=f(t,u(x,t))inRn×R. ${\partial }_{t}^{\alpha }u\left(x,t\right)+\mathcal{L}u\left(x,t\right)=f\left(t,u\left(x,t\right)\right) \text{in} {\mathbb{R}}^{n}{\times ...
Guo Yahong, Ma Lingwei, Zhang Zhenqiu
doaj   +1 more source

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
doaj   +1 more source

Fractional Laplacians and Nilpotent Lie Groups

, 2014
The aim of this short article is to generalize, with a slighthly different point of view, some new results concerning the fractional powers of the Laplace operator to the setting of Nilpotent Lie Groups and to study its relationship with the solutions of
Chamorro, Diego, Jarrin, Oscar
core   +1 more source