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Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations


Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations


Frontiers in Mathematics

von: Yuming Qin, Xin Liu, Taige Wang

90,94 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 11.02.2015
ISBN/EAN: 9783034805940
Sprache: englisch

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Beschreibungen

<p>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.</p><p>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.</p>
Preface.- 1 Global Existence and Asymptotic Behavior for the Cauchy Problem of the 1D Magnetohydrodynamic Fluid System.- 2 Global Existence and Exponential Stability for a 1D Compressible and Radiative MHD Flow.- 3 Global Smooth Solutions for 1D Thermally Radiative Magnetohydrodynamics with Selfgravitation.- 4 Global Smooth Solutions to A 1D Self-gravitating Viscous Radiative and Reactive Gas.- 5 The Cauchy Problem for A 1D Compressible Viscous Micropolar Fluid Model.- 6 Global Existence and Exponential Stability for A 1D Compressible Viscous Micropolar Fluid Model.- 7 Global Existence and Exponential Stability of Solutions to the 1D Full non-Newtonian Fluids.- 8 Exponential Stability of Spherically Symmetric Solutions to Nonlinear Non-autonomous Compressible Navier-Stokes Equations.- Bibliography.- Index.​
 
<p>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.</p><p>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.</p>
Presents recent as well as unpublished results Each chapter closes with bibliographic comments Acquaints the reader with the main ideas of the basic theories and methods

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