变区域上p-Laplacian型复Ginzburg-Landau方程的拉回吸引子（英文）
发布时间：2021-04-14 03:12
考虑具有p-Laplacian的复Ginzburg-Landau方程?Tu-（λ+iα）Δpu+（κ+iβ）|u|q-2u-γu=f（t）在变区域上的动力学行为问题,其中q≥2满足条件■.在空间区域有界且变化满足单调性条件下,证明了满足能量等式变分解的存在唯一性.进一步,建立了由此类弱解形成的非自治系统的D-拉回吸引子.
【文章来源】：曲阜师范大学学报(自然科学版). 2020,46(04)
【文章页数】：9 页
【文章目录】：
0 Introduction
1 Preliminaries
1.1 Functional spaces and preliminary lemmas
1.2 The uniqueness of variational solution
2 Variational solutions
2.1 Penalty method
2.2 Penalty equation
2.3 Existence and uniqueness of variational solutions
3 Pullback dynamics
3.1 Basic definitions and preliminaries
3.2 Process S（·,·） generated by the weak solutions
3.3 Dλ-pullback absorbing set
3.4 Dλ-pullback attractor
4 Conclusion
本文编号：3136541
【文章来源】：曲阜师范大学学报(自然科学版). 2020,46(04)
【文章页数】：9 页
【文章目录】：
0 Introduction
1 Preliminaries
1.1 Functional spaces and preliminary lemmas
1.2 The uniqueness of variational solution
2 Variational solutions
2.1 Penalty method
2.2 Penalty equation
2.3 Existence and uniqueness of variational solutions
3 Pullback dynamics
3.1 Basic definitions and preliminaries
3.2 Process S（·,·） generated by the weak solutions
3.3 Dλ-pullback absorbing set
3.4 Dλ-pullback attractor
4 Conclusion
本文编号：3136541
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