# Existence and stability theorems for abstract parabolic equations, and some of their applications

Gerhard Ströhmer; Wojciech Zajączkowski

Banach Center Publications (1996)

- Volume: 33, Issue: 1, page 369-382
- ISSN: 0137-6934

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topStröhmer, Gerhard, and Zajączkowski, Wojciech. "Existence and stability theorems for abstract parabolic equations, and some of their applications." Banach Center Publications 33.1 (1996): 369-382. <http://eudml.org/doc/262753>.

@article{Ströhmer1996,

abstract = {For a class of semi-abstract evolution equations for sections on vector bundles on a three-dimensional compact manifold we prove that for initial values with certain symmetries strong solutions exist for all times. In case these solutions become small after some time, strong solutions exist also for small perturbations of these initial values. Many systems from fluid mechanics are included in this class.},

author = {Ströhmer, Gerhard, Zajączkowski, Wojciech},

journal = {Banach Center Publications},

keywords = {abstract parabolic equations},

language = {eng},

number = {1},

pages = {369-382},

title = {Existence and stability theorems for abstract parabolic equations, and some of their applications},

url = {http://eudml.org/doc/262753},

volume = {33},

year = {1996},

}

TY - JOUR

AU - Ströhmer, Gerhard

AU - Zajączkowski, Wojciech

TI - Existence and stability theorems for abstract parabolic equations, and some of their applications

JO - Banach Center Publications

PY - 1996

VL - 33

IS - 1

SP - 369

EP - 382

AB - For a class of semi-abstract evolution equations for sections on vector bundles on a three-dimensional compact manifold we prove that for initial values with certain symmetries strong solutions exist for all times. In case these solutions become small after some time, strong solutions exist also for small perturbations of these initial values. Many systems from fluid mechanics are included in this class.

LA - eng

KW - abstract parabolic equations

UR - http://eudml.org/doc/262753

ER -

## References

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- [15] G. Ströhmer, An existence result for partially regular weak solutions of certain abstract evolution equations, with an application to magneto-hydrodynamics, ibid. 213 (1993), 373-385.
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