Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.

Contents:

• Mathematical Description of Fluids
• Linear Waves
• Model Equations for Weakly Nonlinear Waves
• Analytical Methods for Solving the Classical Model Wave Equations
• Numerical Methods for a Scalar Hyperbolic Equations
• Review of Numerical Methods for Model Wave Equations
• Numerical Schemes for a System of One-Dimensional Hyperbolic Equations
• A Hyperbolic System of Two-Dimensional Equations
• Numerical Methods for the MHD Equations
• Numerical Experiments

"This book tries to fill the gap in the literature by considering together analytical and numerical approaches. The main attention is paid to the wave solutions of the quasi-hyperbolic systems appearing in fluids, plasma, and astrophysics, taking into account the nonlinearity, dispersion, dissipation and randomness of media ... It can be useful for students studying the modeling of the wave processes in fluids, plasma and astrophysics."

"The book will be of interest to readers intending to enter this field, and it contains an extensive bibliography that will be useful for readers wishing to widen their study of these topics."

"I found the book to be very thorough in its description of methods, and the difficulties faced in solving hyperbolic problems ... overall I was impressed with this book, and I recommend it as an excellent review source."