On the solvability of a nonlinear pseudoparabolic problem

S. Mesloub; T. Hayat

doi:10.1007/s13226-013-0017-8

On the solvability of a nonlinear pseudoparabolic problem

S. Mesloub
, T. Hayat

King Saud University
Quaid-I-Azam University

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

Abstract

This paper is concerned with the study of an initial boundary value problem for a nonlinear second order pseudoparabolic equation arising in the unidirectional flow of a thermodynamic compatible third grade fluid. We establish some a priori bounds for the solution and prove its existence.

Original language	English
Pages (from-to)	343-354
Number of pages	12
Journal	Indian Journal of Pure and Applied Mathematics
Volume	44
Issue number	3
DOIs	https://doi.org/10.1007/s13226-013-0017-8
State	Published - Jun 2013
Externally published	Yes

Keywords

Nonlinear flow
a priori estimate
existence of solution
nonlocal condition

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10.1007/s13226-013-0017-8

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title = "On the solvability of a nonlinear pseudoparabolic problem",

abstract = "This paper is concerned with the study of an initial boundary value problem for a nonlinear second order pseudoparabolic equation arising in the unidirectional flow of a thermodynamic compatible third grade fluid. We establish some a priori bounds for the solution and prove its existence.",

keywords = "Nonlinear flow, a priori estimate, existence of solution, nonlocal condition",

author = "S. Mesloub and T. Hayat",

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doi = "10.1007/s13226-013-0017-8",

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AU - Hayat, T.

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AB - This paper is concerned with the study of an initial boundary value problem for a nonlinear second order pseudoparabolic equation arising in the unidirectional flow of a thermodynamic compatible third grade fluid. We establish some a priori bounds for the solution and prove its existence.

KW - Nonlinear flow

KW - a priori estimate

KW - existence of solution

KW - nonlocal condition

UR - https://www.scopus.com/pages/publications/84880083765

U2 - 10.1007/s13226-013-0017-8

DO - 10.1007/s13226-013-0017-8

M3 - Article

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VL - 44

SP - 343

EP - 354

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 3

ER -

On the solvability of a nonlinear pseudoparabolic problem

Abstract

Keywords

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