Small Viscosity and Boundary Layer Methods : Theory, Stability Analysis, and Applications (Modeling and Simulation in Science, Engineering and Technology)

small viscosity and boundary layer methods : theory, stability analysis, and applications (modeling and simulation in science, engineering and technology)

more information about Small Viscosity and Boundary Layer Methods : Theory, Stability Analysis, and Applications (Modeling and Simulation in Science, Engineering and Technology)

Small Viscosity and Boundary Layer Methods : Theory, Stability Analysis, and Applications (Modeling and Simulation in Science, Engineering and Technology)

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Book Description

This book is an introduction to the stability analysis of noncharacteristic boundary layers, emphasizing selected topics and developing mathematical tools relevant to the study of multidimensional problems. Boundary layers are present in problems from physics, engineering, mechanics, and fluid mechanics and typically appear for problems with small diffusion. Boundary layers also occur in free boundary value problems, particularly in the analysis of shock waves.

The main goal of this presentation is to provide basic tools for the understanding of multidimensional boundary layers for systems. Included are self-contained introductions to different topics such as hyperbolic boundary value problems, parabolic systems, WKB methods, construction of profiles, introduction to the theory of Evans’ functions, and energy methods with Kreiss’ symmetrizers.

 

 

Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications (Modeling and Simulation in Science, Engineering and Technology),Guy Métivier,Birkhäuser Boston,0817633901,Applied,Boundary layer,Engineering - Electrical & Electronic,Engineering - General,Mathematical Physics,Mechanics - Dynamics - General,Science,Science/Mathematics,Technology,Viscous flow,Engineering: general,Mathematics / Differential Equations,Mathematics and Science

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