Results 221 to 230 of about 2,047 (259)
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Exponential Attractors in Generalized Relativistic Billiards
Communications in Mathematical Physics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deryabin, M. V., Pustyl'nikov, L. D.
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Finite‐dimensional attractors and exponential attractors for degenerate doubly nonlinear equations
Mathematical Methods in the Applied Sciences, 2009AbstractWe consider the following doubly nonlinear parabolic equation in a bounded domain Ω⊂ℝ3:where the nonlinearityfis allowed to have a degeneracy with respect to ∂tuof the form ∂tu|∂tu|pat some pointsx∈Ω.Under some natural assumptions on the nonlinearitiesfandg, we prove the existence and uniqueness of a solution of that problem and establish the ...
Efendiev, M, Zelik, S
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Exponential Attractors for the Generalized Ginzburg-Landau Equation
Acta Mathematica Sinica, 2000Global fast dynamics of the generalized Ginzburg-Landau equation is considered in two spatial dimensions, squeezing property and the existence of finite-dimensional exponential attractors for that equation are presented.
Guo, Boling, Wang, Bixiang
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Exponential attractors for the strongly damped wave equation
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ke Li, Zhijian Yang
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Exponential attractors for a partially dissipative reaction system
Asymptotic Analysis, 1996After having established the existence of smooth absorbing sets, thanks to suitable a priori estimates, we obtain for a class of partially dissipative reaction systems a property known as squeezing property. This last leads to the existence of exponential attractors for which the fractal dimension is finite.
Fabrie, P., Galusinski, C.
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Exponential Attractor for a Nonlinear Boussinesq Equation
Acta Mathematicae Applicatae Sinica, English Series, 2006This paper is devoted to prove the existence of an exponential attractor for the semiflow generated by a nonlinear Boussinesq equation. We formulate the Boussinesq equation as an abstract equation in the Hilbert space \(H^2_0(0,1)\times L^2(0,1)\). The main step in this research is to show that there exists an absorbing set for the solution semiflow in
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Exponential Attractor for a Class of Nonclassical Diusion Equation
Journal of Partial Differential Equations, 2003In this paper, the following initial boundary value problem of the nonclassical diffusion equation \[ u_t-\nu\Delta u_t- \lambda\Delta u+ g(u)= f(x),\quad (x,t)\in \Omega\times \mathbb{R}^+,\tag{1} \] \[ u(x,0)= u_0(x),\quad x\in\Omega, \] \[ u(x,t)= 0,\quad (x,t)\in \partial\Omega\times \mathbb{R}^+ \] is considered, where \(\lambda\) is a positive ...
Shang, Yadong, Guo, Boling
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SIAM Journal on Mathematical Analysis, 2003
Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
David Hoff, Mohammed B. Ziane
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Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
David Hoff, Mohammed B. Ziane
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Exponential Attractors in Contact Problems
2016In this chapter we consider two examples of contact problems. First, we study the problem of time asymptotics for a class of two-dimensional turbulent boundary driven flows subject to the Tresca friction law which naturally appears in lubrication theory.
Grzegorz Łukaszewicz, Piotr Kalita
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Exponential attractors for semiconductor equations
2006This paper studies the asymptotic behaviour of solutions to the classical semiconductor equations due to Shockley. We will construct not only global solutions but also exponential attractors for the dynamical system determined from the Cauchy problem.
FAVINI, ANGELO, A. . LORENZI, A. YAGI
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