# Zero-Dissipation Limit for Nonlinear Waves

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 34, Issue: 2, page 275-301
- ISSN: 0764-583X

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topBona, Jerry L., and Wu, Jiahong. "Zero-Dissipation Limit for Nonlinear Waves." ESAIM: Mathematical Modelling and Numerical Analysis 34.2 (2010): 275-301. <http://eudml.org/doc/197459>.

@article{Bona2010,

abstract = {
Evolution equations featuring nonlinearity, dispersion and
dissipation are considered here. For classes of such equations
that include the Korteweg-de Vries-Burgers equation and the
BBM-Burgers equation, the zero dissipation limit is studied.
Uniform bounds independent of the dissipation coefficient are derived
and zero dissipation limit results with
optimal convergence rates are established.
},

author = {Bona, Jerry L., Wu, Jiahong},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Nonlinear; dispersive; dissipative; waves; inviscid limits;
Korteweg-de Vries-Burgers type equations.; evolution equations; dispersion; dissipation; Korteweg-de Vries-Burgers equation; BBM-Burgers equation; zero dissipation limit; optimal convergence rates},

language = {eng},

month = {3},

number = {2},

pages = {275-301},

publisher = {EDP Sciences},

title = {Zero-Dissipation Limit for Nonlinear Waves},

url = {http://eudml.org/doc/197459},

volume = {34},

year = {2010},

}

TY - JOUR

AU - Bona, Jerry L.

AU - Wu, Jiahong

TI - Zero-Dissipation Limit for Nonlinear Waves

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 34

IS - 2

SP - 275

EP - 301

AB -
Evolution equations featuring nonlinearity, dispersion and
dissipation are considered here. For classes of such equations
that include the Korteweg-de Vries-Burgers equation and the
BBM-Burgers equation, the zero dissipation limit is studied.
Uniform bounds independent of the dissipation coefficient are derived
and zero dissipation limit results with
optimal convergence rates are established.

LA - eng

KW - Nonlinear; dispersive; dissipative; waves; inviscid limits;
Korteweg-de Vries-Burgers type equations.; evolution equations; dispersion; dissipation; Korteweg-de Vries-Burgers equation; BBM-Burgers equation; zero dissipation limit; optimal convergence rates

UR - http://eudml.org/doc/197459

ER -

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