Results 21 to 30 of about 43,348 (288)
Global attractors for nonlinear viscoelastic equations with memory [PDF]
, 2013 We study the asymptotic properties of the semigroup S(t) arising from a nonlinear viscoelastic equation with hereditary memory on a bounded three-dimensional domain written in the past history framework of Dafermos.
Conti, Monica +2 more
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Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
Journal of Applied Mathematics, 2014 Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor ...
Fang-hong Zhang
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Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations [PDF]
, 2010 A nonlinear parabolic equation of the fourth order is analyzed. The equation is characterized by a mobility coefficient that degenerates at 0. Existence of at least one weak solution is proved by using a regularization procedure and deducing suitable a ...
Schimperna, Giulio, Zelik, Sergey
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Global Attractor for Sectorial Evolutionary Equation
Journal of Differential Equations, 1996 Let \(A\) be a sectorial operator with compact resolvent in an appropriate Banach space and consider the evolution equation \(\dot u + Au = F(u)\), \(t > 0\), \(u(0) = u_0\). The authors show that this problem generates a dissipative semigroup whenever an appropriate introductory estimate for solutions is known.
Cholewa, Jan W., Dlotko, Tomasz
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Global attractors for p-Laplacian equation
Journal of Mathematical Analysis and Applications, 2007 The existence of a global attractor for the following \(p\)-Laplacian equation: \[ u_t-\text{div}\bigl(|\nabla u|^{p-2}\nabla u\bigr)+f(u)=g \quad\text{in } \Omega\times\mathbb{R}^+,\tag{1} \] with the Dirichlet boundary condition \[ u |_{\partial\Omega}=0\tag{2} \] and initial condition \[ u(x,0)=u_0(x)\tag{3} \] is proved in \(W_0^{1,p}(\Omega)\) and
Yang, Meihua +2 more
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Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions.
Alexei V. Kapustian, José Valero
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Mathematics, 2021 A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced
Lev Ryashko +2 more
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Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations [PDF]
, 2018 In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed ...
Caraballo Garrido, Tomás +2 more
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Қарағанды университетінің хабаршысы. Математика сериясыWe consider the reaction–diffusion system of equations with rapidly oscillating terms in the equation and in boundary conditions in a domain with locally periodic oscillating boundary.
G.F. Azhmoldaev +3 more
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On finite-dimensional global attractors of homeomorphisms [PDF]
Bulletin of the London Mathematical Society, 2016 Let E be a normed linear space and suppose that A is the global attractor of either (i) a homeomorphism F : E → E or (ii) a semigroup S(·) on E that is injective on A. In both cases, A has trivial shape, and the dynamics on A can be described by a homeomorphism F: A → A (in the second case we set F = S(t) for some t > 0).
Robinson, James C. +1 more
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