Results 71 to 80 of about 4,947,310 (278)
Vanishing viscosity limit for global attractors for the damped Navier--Stokes system with stress free boundary conditions [PDF]
, 2017 We consider the damped and driven Navier--Stokes system with stress free boundary conditions and the damped Euler system in a bounded domain $\Omega\subset\mathbf{R}^2$. We show that the damped Euler system has a (strong) global attractor in~$H^1(\Omega)$.
arxiv +1 more source
Global attractors for a full von Karman beam transmission problem [PDF]
arXiv, 2022 A nonlinear transmisson problem for an elastic full von Karman beam is considered here. We prove that the system possesses a compact global attractor.
arxiv
Global attractors for a class of degenerate diffusion equations
Electronic Journal of Differential Equations, 2003 In this paper we give two existence results for a class of degenerate diffusion equations with p-Laplacian. One is on a unique global strong solution, and the other is on a global attractor.
Shingo Takeuchi, Tomomi Yokota
doaj
Dynamics of a damped quintic wave equation with time-dependent coefficients
AIMS MathematicsWe present a comprehensive investigation of the long-term dynamics generated by a semilinear wave equation with time-dependent coefficients and quintic nonlinearity on a bounded domain subject to Dirichlet boundary conditions.
Feng Zhou +3 more
doaj +1 more source
Global attractor for a class of nonlinear lattices
Journal of Mathematical Analysis and Applications, 2010 AbstractWe consider a class of nonlinear lattices with nonlinear damping(0.1)u¨n(t)+(−1)pΔpun(t)+αun(t)+h(un(t))+g(n,u˙n(t))=fn, where n∈Z, t∈R+, α is a real positive constant, p is any positive integer and Δ is the discrete one-dimensional Laplace operator.
Jáuber C. Oliveira +1 more
openaire +2 more sources
Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
Electronic Journal of Differential Equations, 1998 In this work we study the Cauchy problem for a class of nonlinear dissipative equations of Benjamin-Bona-Mahony's type. We discuss the existence of a global attractor and estimate its Hausdorff and fractal dimensions.
M.A. Astaburuaga +3 more
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Long-time behavior of the three dimensional globally modified Navier-Stokes equations [PDF]
arXiv, 2017 This paper is concerned with the long-time behavior of solutions for the three dimensional globally modified Navier-Stokes equations in a three-dimensional bounded domain. We prove the existence of a global attractor $\mathcal{A}_0$ in $H$ and investigate the regularity of the global attractors by proving that $\mathcal{A}_0=\mathcal{A}$ established in
arxiv
Global attractors for the one dimensional wave equation with displacement dependent damping [PDF]
, 2010 We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor.
arxiv +1 more source
Trajectory and global attractors for generalized processes
Discrete & Continuous Dynamical Systems - B, 2019 In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors are proved. By projecting the trajectory attractor on the phase space, the uniform attractor for the multivalued process associated to the problem
Samprogna, Rodrigo Antonio +3 more
openaire +3 more sources
iScience, 2020 Summary: Cancer metabolism is critical for understanding the mechanism of tumorigenesis, yet the understanding is still challenging. We studied gene-metabolism regulatory interactions and quantified the global driving forces for cancer-metabolism ...
Wenbo Li, Jin Wang
doaj