-decay of solutions to dissipative-dispersive perturbations of conservation laws
Annales Polonici Mathematici (1997)
- Volume: 67, Issue: 1, page 65-86
- ISSN: 0066-2216
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topGrzegorz Karch. "$L^p$-decay of solutions to dissipative-dispersive perturbations of conservation laws." Annales Polonici Mathematici 67.1 (1997): 65-86. <http://eudml.org/doc/270315>.
@article{GrzegorzKarch1997,
abstract = {We study the decay in time of the spatial $L^p$-norm (1 ≤ p ≤ ∞) of solutions to parabolic conservation laws with dispersive and dissipative terms added
uₜ - uₓₓₜ - νuₓₓ + buₓ = f(u)ₓ or uₜ + uₓₓₓ - νuₓₓ + buₓ = f(u)ₓ,
and we show that under general assumptions about the nonlinearity, solutions of the nonlinear equations have the same long time behavior as their linearizations at the zero solution.},
author = {Grzegorz Karch},
journal = {Annales Polonici Mathematici},
keywords = {asymptotic behavior of solutions; dispersive equations; parabolic conservation laws; oscillatory integrals; long time behavior},
language = {eng},
number = {1},
pages = {65-86},
title = {$L^p$-decay of solutions to dissipative-dispersive perturbations of conservation laws},
url = {http://eudml.org/doc/270315},
volume = {67},
year = {1997},
}
TY - JOUR
AU - Grzegorz Karch
TI - $L^p$-decay of solutions to dissipative-dispersive perturbations of conservation laws
JO - Annales Polonici Mathematici
PY - 1997
VL - 67
IS - 1
SP - 65
EP - 86
AB - We study the decay in time of the spatial $L^p$-norm (1 ≤ p ≤ ∞) of solutions to parabolic conservation laws with dispersive and dissipative terms added
uₜ - uₓₓₜ - νuₓₓ + buₓ = f(u)ₓ or uₜ + uₓₓₓ - νuₓₓ + buₓ = f(u)ₓ,
and we show that under general assumptions about the nonlinearity, solutions of the nonlinear equations have the same long time behavior as their linearizations at the zero solution.
LA - eng
KW - asymptotic behavior of solutions; dispersive equations; parabolic conservation laws; oscillatory integrals; long time behavior
UR - http://eudml.org/doc/270315
ER -
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