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Mathematical theory of compressible fluids on moving domains

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical theory of compressible fluids on moving domains/ by Ondřej Kreml ... [et al.].
other author:	Kreml, Ondřej.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xv, 260 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Fluid mechanics - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-83324-3
ISBN:	9783031833243

Mathematical theory of compressible fluids on moving domains
Mathematical theory of compressible fluids on moving domains[electronic resource] /by Ondřej Kreml ... [et al.]. - Cham :Springer Nature Switzerland :2025. - xv, 260 p. :ill., digital ;24 cm. - Lecture notes in mathematical fluid mechanics,2510-1382. - Lecture notes in mathematical fluid mechanics..

Preface -- Notation, definitions and basic concepts -- Equations of motion -- Barotropic viscous fluid with the Dirichlet boundary conditions -- Barotropic viscous fluid with slip boundary condition -- Weak-strong uniqueness -- Existence of strong solutions via energy methods -- Existence of strong solutions in the Lp - Lq framework -- The full system -- Index -- References.

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed. Chapters build upon the research of Lions and Feireisl with regards to weak solutions to the compressible version of the Navier-Stokes system, and extend it to problems on moving domains. The authors also show the existence of strong solutions to the compressible Navier-Stokes system for either a small time interval or small data. The opening chapters introduce the notation, tools, and problems covered in the rest of the book, emphasizing pedagogy and accessibility throughout. Mathematical Theory of Compressible Fluids on Moving Domains will be suitable for graduate students and researchers interested in mathematical fluid mechanics.

ISBN: 9783031833243

Standard No.: 10.1007/978-3-031-83324-3doiSubjects--Topical Terms:

676222
Fluid mechanics
--Mathematics.

LC Class. No.: QA901

Dewey Class. No.: 620.106

Mathematical theory of compressible fluids on moving domains
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490 1 $a Lecture notes in mathematical fluid mechanics, $x 2510-1382
505 0 $a Preface -- Notation, definitions and basic concepts -- Equations of motion -- Barotropic viscous fluid with the Dirichlet boundary conditions -- Barotropic viscous fluid with slip boundary condition -- Weak-strong uniqueness -- Existence of strong solutions via energy methods -- Existence of strong solutions in the Lp - Lq framework -- The full system -- Index -- References.
520 $a This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed. Chapters build upon the research of Lions and Feireisl with regards to weak solutions to the compressible version of the Navier-Stokes system, and extend it to problems on moving domains. The authors also show the existence of strong solutions to the compressible Navier-Stokes system for either a small time interval or small data. The opening chapters introduce the notation, tools, and problems covered in the rest of the book, emphasizing pedagogy and accessibility throughout. Mathematical Theory of Compressible Fluids on Moving Domains will be suitable for graduate students and researchers interested in mathematical fluid mechanics.
650 0 $a Fluid mechanics $x Mathematics. $3 676222
650 1 4 $a Functional Analysis. $3 672166
650 2 4 $a Differential Equations. $3 681826
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Mathematical Physics. $3 786661
700 1 $a Kreml, Ondřej. $3 1488461
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950 $a Mathematics and Statistics (SpringerNature-11649)