Instantaneous Blow-Up for a Generalized Drift Wave Differential Inequality of Sobolev Type

Mohamed Jleli; B. Samet; Praveen Agarwal

doi:10.1002/mma.10985

Instantaneous Blow-Up for a Generalized Drift Wave Differential Inequality of Sobolev Type

Mohamed Jleli
, B. Samet
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

King Saud University
Saveetha Institute of Medical and Technical Sciences (Deemed to be University)
International College of Engineering

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

1 Scopus citations

Abstract

The goal of this paper is to study the nonexistence of local weak solutions to a generalized drift wave differential inequality of Sobolev type posed in infinite parallelepiped, under an inhomogeneous Dirichlet boundary condition. Our approach is based on the construction of suitable test functions.

Original language	English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.10985
State	Accepted/In press - 2025

Keywords

Bessel operator
Sobolev-type differential inequality
critical behavior
instantaneous blow-up
local weak solution

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10.1002/mma.10985

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title = "Instantaneous Blow-Up for a Generalized Drift Wave Differential Inequality of Sobolev Type",

abstract = "The goal of this paper is to study the nonexistence of local weak solutions to a generalized drift wave differential inequality of Sobolev type posed in infinite parallelepiped, under an inhomogeneous Dirichlet boundary condition. Our approach is based on the construction of suitable test functions.",

keywords = "Bessel operator, Sobolev-type differential inequality, critical behavior, instantaneous blow-up, local weak solution",

author = "Mohamed Jleli and B. Samet and Praveen Agarwal",

note = "Publisher Copyright: {\textcopyright} 2025 John Wiley \& Sons Ltd.",

year = "2025",

doi = "10.1002/mma.10985",

language = "English",

journal = "Mathematical Methods in the Applied Sciences",

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T1 - Instantaneous Blow-Up for a Generalized Drift Wave Differential Inequality of Sobolev Type

AU - Jleli, Mohamed

AU - Samet, B.

AU - Agarwal, Praveen

PY - 2025

Y1 - 2025

N2 - The goal of this paper is to study the nonexistence of local weak solutions to a generalized drift wave differential inequality of Sobolev type posed in infinite parallelepiped, under an inhomogeneous Dirichlet boundary condition. Our approach is based on the construction of suitable test functions.

AB - The goal of this paper is to study the nonexistence of local weak solutions to a generalized drift wave differential inequality of Sobolev type posed in infinite parallelepiped, under an inhomogeneous Dirichlet boundary condition. Our approach is based on the construction of suitable test functions.

KW - Bessel operator

KW - Sobolev-type differential inequality

KW - critical behavior

KW - instantaneous blow-up

KW - local weak solution

UR - https://www.scopus.com/pages/publications/105005082513

U2 - 10.1002/mma.10985

DO - 10.1002/mma.10985

M3 - Article

AN - SCOPUS:105005082513

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

Instantaneous Blow-Up for a Generalized Drift Wave Differential Inequality of Sobolev Type

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Keywords

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