An attractor for a nonlinear dissipative wave equation of Kirchhoff type

By Mitsuhiro T. Nakao. 2009

53 citations recorded by the source corpus.

Abstract In this paper we prove the existence and some absorbing properties of an attractor in a local sense for the initial–boundary value problem of a quasilinear wave equation of Kirchhoff type with a standard dissipation u t .

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b605a3f69dd4ad5881f68fcbc2566e8f34e2fe2e

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In Computational Theory and Mathematics

1. Igor D. Chueshov
2. Bixiang Wang
3. Irena Lasiecka
4. A. Kh. Khanmamedov

In Control and Systems Engineering

1. Igor D. Chueshov
2. Irena Lasiecka
3. Bixiang Wang
4. A. Kh. Khanmamedov
5. Zhijian Yang

In Mathematical Physics

1. Igor D. Chueshov
2. Irena Lasiecka
3. A. Kh. Khanmamedov
4. Zhijian Yang

Citations in the corpus

• Long-time dynamics of Kirchhoff wave models with strong nonlinear damping (2010, background): “We refer to [4, 28, 41] and to the literature cited in the survey [32], see also [5, 17, 19, 22, 31, 34, 35, 36, 37, 46, 47, 48, 49] and the references therein.”