Results 81 to 90 of about 2,437,712 (232)

Global existence for the MHD system in critical spaces [PDF]

, 2008
Hammadi Abidi, Marius Paicu
openalex   +1 more source

A coupled chemotaxis-fluid model: Global existence

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011
We consider a model arising from biology, consisting of chemotaxis equations coupled to viscous incompressible fluid equations through transport and external forcing. Global existence of solutions to the Cauchy problem is investigated under certain conditions.
Liu, Jian-Guo, Lorz, Alexander
openaire   +2 more sources

Local and Global Solvability for Advection-Diffusion Equation on an Evolving Surface with a Boundary

, 2019
This paper considers the existence of local and global-in-time strong solutions to the advection-diffusion equation with variable coefficients on an evolving surface with a boundary.
Koba, Hajime
core  

Asymptotic behavior of a viscoelastic wave equation with a delay in internal fractional feedback [PDF]

Archives of Control Sciences
We consider the viscoelastic wave equation with a time delay term in internal fractional feedback. By employing the energy method along with the Faedo-Galerkin procedure, we establish the global existence of solutions, subject to certain conditions ...
Radhouane Aounallah, Adbelbaki Choucha, Salah Boulaaras, Abderrahmane Zarai   +3 more
doaj   +1 more source

Global existence and non-existence of stochastic parabolic equations

, 2019
22
Lv, Guangying, Wei, Jinlong
openaire   +2 more sources

Boundedness and stabilization in a quasilinear chemotaxis model with nonlocal growth term and indirect signal production

Communications in Analysis and Mechanics
In this paper, we study the following fully parabolic chemotaxis system with nonlocal growth and indirect signal production: \begin{document}$ \begin{equation*} \left\{ \begin{array}{@{}l@{\quad}l} u_{t} = \nabla\cdot( D(u)\nabla u)-\nabla\cdot(u ...
Min Jiang, Dandan Liu, Rengang Huang
doaj   +1 more source

Research on the Properties of Solutions to Fourth-Order Pseudo-Parabolic Equations with Nonlocal Sources

Mathematics
This paper investigates the initial-boundary value problem for a fourth-order pseudo-parabolic equation with a nonlocal source: ut+Δ2u−Δut=uq−1u−1Ω∫Ωuq−1udx.
Chunxiao Yang, Wanqing Li
doaj   +1 more source

Global existence for the 2D incompressible isotropic elastodynamics for small initial data [PDF]

, 2014
Xuecheng Wang
openalex   +1 more source

Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations [PDF]

, 1998
Toyohiko Aiki, Hitoshi Imai
openalex   +1 more source

Global Existence, General Decay, and Blow Up of the Solution to the Coupled p-Biharmonic Equation of Hyperbolic Type with Degenerate Damping Terms

Mathematics
In this work, we study a nonlinear system of p-Biharmonic hyperbolic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the initial data and the damping terms, we establish the global existence of ...
Nouri Boumaza, Billel Gheraibia, Hongwei Zhang, Zayd Hajjej   +3 more
doaj   +1 more source