# Asymptotic behaviour of strongly damped nonlinear hyperbolic equations

- Volume: 23, Issue: 3, page 379-384
- ISSN: 0764-583X

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topBiler, Piotr. "Asymptotic behaviour of strongly damped nonlinear hyperbolic equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.3 (1989): 379-384. <http://eudml.org/doc/193566>.

@article{Biler1989,

author = {Biler, Piotr},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {evolution equation; asymptotic behaviour of solutions; evolution equations; damped vibrations; Klein-Gordon equations},

language = {eng},

number = {3},

pages = {379-384},

publisher = {Dunod},

title = {Asymptotic behaviour of strongly damped nonlinear hyperbolic equations},

url = {http://eudml.org/doc/193566},

volume = {23},

year = {1989},

}

TY - JOUR

AU - Biler, Piotr

TI - Asymptotic behaviour of strongly damped nonlinear hyperbolic equations

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 1989

PB - Dunod

VL - 23

IS - 3

SP - 379

EP - 384

LA - eng

KW - evolution equation; asymptotic behaviour of solutions; evolution equations; damped vibrations; Klein-Gordon equations

UR - http://eudml.org/doc/193566

ER -

## References

top- [1] P. AVILES, J. SANDEFUR, Nonlinear second order equations with applications to partial differential equations, J. Diff. Eq., 58 (1985) 404-427. Zbl0572.34004MR797319
- [2] J. D. AVRIN, Convergence properties of the strongly damped nonlinear Klein-Gordon equation, J. Diff. Eq., 67 (1987) 243-255. Zbl0625.35058MR879695
- [3] P. BILER, Large time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type, Bull. Pol. Ac. Sc. Math., 32 (1984) 401-405. Zbl0561.35065MR782755
- [4] P. BILER, Exponential decay of solutions of damped nonlinear hyperbolic equations, Nonlinear Analysis, 11 (1987) 841-849. Zbl0656.35091MR898578
- [5] P. BILER, A singular perturbation problem for nonlinear damped hyperbolic equations, Proc. Roy Soc. Edinburgh A, to appear. Zbl0701.35013MR985986
- [6] C. FOIAS, J.-C. SAUT, Asymptotic behavior, as t → + ∞, of solutions of Navier Stokes equations and nonlinear spectral manifolds, Indiana Univ. Math. J., 33 (1984) 459-477. Zbl0565.35087MR740960
- [7] J.-M. GHIDAGLIA, Long time behaviour of solutions of abstract inequalities applications to thermo-hydraulic and magnetohydrodynamic equations, J. Diff. Eq., 61 (1986) 268-294. Zbl0549.35102MR823404

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