Pseudoparabolic equations with convection

Mariya Ptashnyk

doi:10.1093/imamat/hxm053

Pseudoparabolic equations with convection

Mariya Ptashnyk^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

The existence of solutions of pseudoparabolic equations with convection by using discretization along characteristics is shown. The uniqueness of the solution of a pseudoparabolic equation is proved for a linear elliptic part and for a space dimension N ≤ 4.

Original language	English
Pages (from-to)	912-922
Number of pages	11
Journal	IMA Journal of Applied Mathematics
Volume	72
Issue number	6
DOIs	https://doi.org/10.1093/imamat/hxm053
Publication status	Published - 1 Dec 2007

Keywords

Convection-diffusion
Method of characteristics
Pseudoparabolic equations
Rothe method

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1093/imamat/hxm053

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title = "Pseudoparabolic equations with convection",

abstract = "The existence of solutions of pseudoparabolic equations with convection by using discretization along characteristics is shown. The uniqueness of the solution of a pseudoparabolic equation is proved for a linear elliptic part and for a space dimension N ≤ 4.",

keywords = "Convection-diffusion, Method of characteristics, Pseudoparabolic equations, Rothe method",

author = "Mariya Ptashnyk",

year = "2007",

month = dec,

day = "1",

doi = "10.1093/imamat/hxm053",

language = "English",

volume = "72",

pages = "912--922",

journal = "IMA Journal of Applied Mathematics",

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publisher = "Oxford University Press",

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AU - Ptashnyk, Mariya

PY - 2007/12/1

Y1 - 2007/12/1

N2 - The existence of solutions of pseudoparabolic equations with convection by using discretization along characteristics is shown. The uniqueness of the solution of a pseudoparabolic equation is proved for a linear elliptic part and for a space dimension N ≤ 4.

AB - The existence of solutions of pseudoparabolic equations with convection by using discretization along characteristics is shown. The uniqueness of the solution of a pseudoparabolic equation is proved for a linear elliptic part and for a space dimension N ≤ 4.

KW - Convection-diffusion

KW - Method of characteristics

KW - Pseudoparabolic equations

KW - Rothe method

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U2 - 10.1093/imamat/hxm053

DO - 10.1093/imamat/hxm053

M3 - Article

AN - SCOPUS:36549021179

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VL - 72

SP - 912

EP - 922

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

IS - 6

ER -

Pseudoparabolic equations with convection

Abstract

Keywords

ASJC Scopus subject areas

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