Hokkaido Mathematical Journal

Equation system describing the radiation intensity and the air motion with the water phase transition

Meryem BENSSAAD, Hanane BELHIRECHE, and Steave C. SELVADURAY

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Abstract

In this paper we consider the equation system describing the motion of the air and the variation of the radiation intensity and the quantity of water droplets in the air, including also the process of water phase transition. Under a suitable condition we prove the existence and uniqueness of the local solution. By eliminating the approximation by regularization of vapor density and by including the equation of radiation, this result improves previous ones.

Article information

Source
Hokkaido Math. J., Volume 48, Number 1 (2019), 155-193.

Dates
First available in Project Euclid: 18 February 2019

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1550480648

Digital Object Identifier
doi:10.14492/hokmj/1550480648

Mathematical Reviews number (MathSciNet)
MR3914173

Zentralblatt MATH identifier
07055599

Subjects
Primary: 35Q35: PDEs in connection with fluid mechanics 76N10: Existence, uniqueness, and regularity theory [See also 35L60, 35L65, 35Q30] 35Q79

Keywords
Model of the atmosphere phase transitions radiation intensity integral semilinear terms

Citation

BENSSAAD, Meryem; BELHIRECHE, Hanane; SELVADURAY, Steave C. Equation system describing the radiation intensity and the air motion with the water phase transition. Hokkaido Math. J. 48 (2019), no. 1, 155--193. doi:10.14492/hokmj/1550480648. https://projecteuclid.org/euclid.hokmj/1550480648


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