DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH FOURIER'S TYPE HEAT CONDUCTION
DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH FOURIER'S TYPE HEAT CONDUCTION
复制标题
DOI：
10.1142/s0219891614500039
复制
发表时间：
2014-03
影响因子：
0.7
通讯作者：
N. Mori;S. Kawashima;P. LeFloch
中科院分区：
文献类型：
--
作者：
N. Mori;S. Kawashima;P. LeFloch
研究了一维(整体)空间中具有傅立叶导热的Timoshenko系统。我们观察到该系统的耗散结构是规则损耗型的，这与Ide-Haramoto-Kawashima早先研究的耗散Timoshenko系统略有不同。此外，我们建立了一般解的最优L2衰减估计。证明是基于解在傅里叶空间中的详细的逐点估计。此外，我们还对Ide-Haramoto-Kawashima对耗散Timoshenko系统所采用的能量方法进行了改进，从而改进了他们的能量方法。
We study the Timoshenko system with Fourier's type heat conduction in the one-dimensional (whole) space. We observe that the dissipative structure of the system is of the regularity-loss type, which is somewhat different from that of the dissipative Timoshenko system studied earlier by Ide–Haramoto–Kawashima. Moreover, we establish optimal L2 decay estimates for general solutions. The proof is based on detailed pointwise estimates of solutions in the Fourier space. Also, we introuce here a refinement of the energy method employed by Ide–Haramoto–Kawashima for the dissipative Timoshenko system, which leads us to an improvement on their energy method.