Global Well-Posedness for Some Fluid Models / Yuming Qin and Jianlin Zhang.

Format:

Book

Author/Creator:

Qin, Yuming, author.

Zhang, Jianlin, author.

Series:

Current Natural Sciences Series

Language:

English

Subjects (All):

Fluid dynamics.

Newtonian fluids.

Navier-Stokes equations.

Differential equations.

Physical Description:

1 online resource (292 p.)

Edition:

First edition.

Place of Publication:

Les Ulis, France : EDP Sciences, [2023]

Language Note:

In English.

Summary:

This book presents recent results on global well-posedness including asymptotic behavior of global solutions to some fluid models, such as combustion model of radiative gas, radiation hydrodynamics model, Navier-Stokes equations with capillary and p-th power Newtonian fluid model. These models have the similar structures, which consist of Navier-Stokes equations coupled with other equation or with other effects. Results collected in this book are established by the authors and their collaborators in recent years.

Contents:

Frontmatter

Contents

Foreword

Chapter 1 Preliminary

Chapter 2 Global Existence and Exponential Stability of Spherically Symmetric Solutions to a Compressible Combustion Radiative and Reactive Gas

Chapter 3 Global Existence, Uniqueness and Exponential Stability of Solutions for the One-Dimensional Navier–Stokes Equations with Capillarity

Chapter 4 Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data

Chapter 5 Global Existence and Asymptotic Behavior of Spherically Symmetric Solutions for the Multi-Dimensional Infrarelativistic Model

Chapter 6 Global Existence and Asymptotic Behavior of Cylindrically Symmetric Solutions for the 3D Infrarelativistic Model with Radiation

Bibliography

Notes:

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Aug 2023)

Description based on print version record.

ISBN:

9782759829064

2759829065

OCLC:

1370392566