On the Burgers equation with moving boundary

Gino Biondini; Silvana De Lillo

doi:10.1016/S0375-9601(00)00839-2

On the Burgers equation with moving boundary

Gino Biondini
, Silvana De Lillo

Mathematics

University of Perugia
National Institute for Nuclear Physics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A general method for solving the Dirichlet problem for the Burgers equation with a moving boundary is introduced. The method reduces the initial value problem to a linear integral equation of Volterra type with mildly singular kernel, which admits a unique solution under rather general assumptions. Two explicit cases are considered: a boundary moving with constant velocity and a rapidly oscillating boundary.

Original language	English
Pages (from-to)	194-206
Number of pages	13
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	279
Issue number	3-4
DOIs	https://doi.org/10.1016/S0375-9601(00)00839-2
State	Published - Jan 29 2001

Access to Document

10.1016/S0375-9601(00)00839-2

Cite this

@article{823d67b8fd5943f098fc98feba354f8e,

title = "On the Burgers equation with moving boundary",

abstract = "A general method for solving the Dirichlet problem for the Burgers equation with a moving boundary is introduced. The method reduces the initial value problem to a linear integral equation of Volterra type with mildly singular kernel, which admits a unique solution under rather general assumptions. Two explicit cases are considered: a boundary moving with constant velocity and a rapidly oscillating boundary.",

author = "Gino Biondini and \{De Lillo\}, Silvana",

year = "2001",

month = jan,

day = "29",

doi = "10.1016/S0375-9601(00)00839-2",

language = "English",

volume = "279",

pages = "194--206",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "3-4",

}

TY - JOUR

T1 - On the Burgers equation with moving boundary

AU - Biondini, Gino

AU - De Lillo, Silvana

PY - 2001/1/29

Y1 - 2001/1/29

N2 - A general method for solving the Dirichlet problem for the Burgers equation with a moving boundary is introduced. The method reduces the initial value problem to a linear integral equation of Volterra type with mildly singular kernel, which admits a unique solution under rather general assumptions. Two explicit cases are considered: a boundary moving with constant velocity and a rapidly oscillating boundary.

AB - A general method for solving the Dirichlet problem for the Burgers equation with a moving boundary is introduced. The method reduces the initial value problem to a linear integral equation of Volterra type with mildly singular kernel, which admits a unique solution under rather general assumptions. Two explicit cases are considered: a boundary moving with constant velocity and a rapidly oscillating boundary.

UR - https://www.scopus.com/pages/publications/0035966646

U2 - 10.1016/S0375-9601(00)00839-2

DO - 10.1016/S0375-9601(00)00839-2

M3 - Article

AN - SCOPUS:0035966646

SN - 0375-9601

VL - 279

SP - 194

EP - 206

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

On the Burgers equation with moving boundary

Abstract

Access to Document

Other files and links

Fingerprint

Cite this