Daniel Sevcovic
Thesis, May 1993, Bratislava
Advisor: Prof. Pavol BRUNOVSKY
Bratislava 1993
Contents
References
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Part I.
Spurt phenomenon for a non-Newtonian model
of shearing motions including diffusion
2. Non-Newtonian model of shearing motions including diffusion
3. Existence of solutions, asymptotic behavior
and properties of steady states
3.1 Existence of solutions
3.2 Asymptotic behavior of solutions
3.3 Steady states
4. Spurt
5. Hysteresis
6. Numerical simulations
7. Discussion
Part II.
Singular limit dynamics of invariant manifolds and vector fields
8. Foreword
9. Preliminaries
9.2 Existence of solutions of a family of abstract equations
9.3 Banach spaces with exponentially weighted norms
10. Invariant manifolds
11. Applications
11.1 The limiting behavior of invariant manifolds and global attractors
for a model of shearing motions
11.2 Applications to elastic systems with structural damping