Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations

Research output: Contribution to journalArticleScientificpeer-review

Standard

Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations. / Singer, Thomas; Vestberg, Matias.

In: Journal of Differential Equations, Vol. 266, No. 6, 05.03.2019, p. 3014-3033.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

APA

Vancouver

Author

Bibtex - Download

@article{afecc8b8f0da4ac29daec8334956351e,
title = "Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations",
abstract = "In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations ∂tu−∇⋅((u−z)α|∇u|γ−1∇u)=f are locally bounded. Here, u describes the height of the water, z is a given function that represents the land elevation and f is a source term accounting for evaporation, infiltration or rainfall.",
keywords = "Doubly nonlinear parabolic equations, Local boundedness",
author = "Thomas Singer and Matias Vestberg",
year = "2019",
month = "3",
day = "5",
doi = "10.1016/j.jde.2018.08.051",
language = "English",
volume = "266",
pages = "3014--3033",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "6",

}

RIS - Download

TY - JOUR

T1 - Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations

AU - Singer, Thomas

AU - Vestberg, Matias

PY - 2019/3/5

Y1 - 2019/3/5

N2 - In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations ∂tu−∇⋅((u−z)α|∇u|γ−1∇u)=f are locally bounded. Here, u describes the height of the water, z is a given function that represents the land elevation and f is a source term accounting for evaporation, infiltration or rainfall.

AB - In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations ∂tu−∇⋅((u−z)α|∇u|γ−1∇u)=f are locally bounded. Here, u describes the height of the water, z is a given function that represents the land elevation and f is a source term accounting for evaporation, infiltration or rainfall.

KW - Doubly nonlinear parabolic equations

KW - Local boundedness

U2 - 10.1016/j.jde.2018.08.051

DO - 10.1016/j.jde.2018.08.051

M3 - Article

VL - 266

SP - 3014

EP - 3033

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 6

ER -

ID: 31073026