Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations

Description

This book presents recent results on nonlinear evolutionary fluid equations such as the compressible (radiative) magnetohydrodynamics (MHD) equations, compressible viscous micropolar fluid equations, the full non-Newtonian fluid equations and non-autonomous compressible Navier-Stokes equations. These types of partial differential equations arise in many fields of mathematics, but also in other branches of science such as physics and fluid dynamics. This book will be a valuable resource for graduate students and researchers interested in partial differential equations, and will also benefit practitioners in physics and engineering. Front Matter....Pages i-xi Global Existence and Asymptotic Behavior of Solutions to the Cauchy Problem for the 1D Compressible Magnetohydrodynamic Fluid System....Pages 1-28 Global Existence and Exponential Stability of 1D Compressible and Radiative Magnetohydrodynamic Flows....Pages 29-76 Global Smooth Solutions for 1D Thermally Radiative Magnetohydrodynamics with Self-gravitation....Pages 77-100 Global Smooth Solutions to a 1D Self-gravitating Viscous Radiative and Reactive Gas....Pages 101-111 The Cauchy Problem for a 1D Compressible Viscous Micropolar Fluid Model....Pages 113-141 Global Existence and Exponential Stability for a 1D Compressible Viscous Micropolar Fluid Model....Pages 143-153 Global Existence and Exponential Stability of Solutions to the Equations of 1D Full Non-Newtonian Fluids....Pages 155-173 Exponential Stability of Spherically Symmetric Solutions to Nonlinear Non-autonomous Compressible Navier-Stokes Equations....Pages 175-197 Back Matter....Pages 199-211