Exponential attractors for singularly perturbed damped wave equations: A simple construction
Exponential attractors for singularly perturbed damped wave equations: A simple construction
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发表时间：
2007
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通讯作者：
A. Miranville;V. Pata;S. Zelik
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作者：
A. Miranville;V. Pata;S. Zelik
本文讨论依赖于小参数e的阻尼波动方程e2 ttu + ttu − Δu + f（u）= g，以及在奇异极限e → 0下得到的相应的抛物方程ttu − Δu + f（u）= g.证明了存在一族关于e为保持器连续的指数吸引子Me。
This note is concerned with the damped wave equation e 2 ∂ttu + ∂tu − Δu + f (u) = g depending on a small parameter e and with the corresponding parabolic equation ∂tu − Δu + f (u) = g obtained in the singular limit e → 0. The existence of a family Me of exponential attractors which is Holder continuous with respect to e is proved.