Results 61 to 70 of about 754,834 (272)
Attractors for processes on time-dependent spaces. Applications to wave equations [PDF]
, 2012 For a process U(t,s) acting on a one-parameter family of normed spaces, we present a notion of time-dependent attractor based only on the minimality with respect to the pullback attraction property. Such an attractor is shown to be invariant whenever the
Conti, Monica +2 more
core +1 more source
Pullback attractors for a singularly nonautonomous plate equation
Electronic Journal of Differential Equations, 2010 We consider the family of singularly nonautonomous plate equation with structural damping \[ u_{tt} + a(t,x)u_{t} + (- ) u_{t} + (- )^{2} u + u = f(u), \] in a bounded domain $ \subset \R^n$, with Navier boundary conditions. When the nonlinearity $f$ is dissipative we show that this problem is globally well posed in $H^2_0( ) \times L^2( )$ and
Carbone, Vera Lucia +3 more
openaire +5 more sources
On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators
International Journal of Mathematics and Mathematical Sciences, 2011 We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback D-attractor in (L2(Ω))m for the corresponding process in ...
Anh Cung The, Toi Vu Manh
doaj +1 more source
Pullback attractor and invariant measures for the three-dimensional regularized MHD equations
, 2018 This article studies the three-dimensional regularized Magnetohydrodynamics (MHD) equations. Using the approach of energy equations, the authors prove that the associated process possesses a pullback attractor. Then they establish the unique existence of
Zeqi Zhu, Caidi Zhao
semanticscholar +1 more source
Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains
Electronic Research Archive, 2023 This paper is concerned with the asymptotic behavior of the stochastic three dimensional Brinkman-Forchheimer equations in some unbounded domains. We first define a continuous random dynamical system for the equations. Then by J.
Shu Wang, Mengmeng Si , Rong Yang
doaj +1 more source
Pullback attractor for a dynamic boundary non-autonomous problem with Infinite delay [PDF]
, 2018 In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are ...
Caraballo Garrido, Tomás +1 more
core
Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay [PDF]
, 2017 We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method.
Caraballo Garrido, Tomás +2 more
core +1 more source
Management of Lost Atherectomy Devices in the Coronary Arteries
Catheterization and Cardiovascular Interventions, EarlyView.ABSTRACT Rotational and orbital atherectomy are important tools to treat calcific coronary disease. Entrapment of an atherectomy device, that is, rotational atherectomy burr or orbital atherectomy crown, is a serious complication during atherectomy. Loss of an atherectomy device is a more challenging complication that usually follows device entrapment.
Gregor Leibundgut +8 more
wiley +1 more source
Pullback Attractors for Stochastic Young Differential Delay Equations [PDF]
Journal of Dynamics and Differential Equations, 2020 We study the asymptotic dynamics of stochastic Young differential delay equations under the regular assumptions on Lipschitz continuity of the coefficient functions. Our main results show that, if there is a linear part in the drift term which has no delay factor and has eigenvalues of negative real parts, then the generated random dynamical system ...
Nguyen Dinh Cong +3 more
openaire +3 more sources
Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source