A mathematical introduction to fluid mechanics /
Chorin, Alexandre Joel.
A mathematical introduction to fluid mechanics / Alexandre J. Chorin, Jerrold E. Marsden. - 3rd ed. - New York : Springer, 1998. - ix, 169 p. : ill. ; 24 cm. - Texts in applied mathematics ; 4 .
"Corrected third printing"--T.p. verso.
Includes bibliographical references and index.
Preface.- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations.- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation.- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the clas sical techniques of applied mathematics.
0387979182 (acidfree paper) 3540979182 (Berlin : acidfree paper)
Fluid mechanics.
532 / CHO
A mathematical introduction to fluid mechanics / Alexandre J. Chorin, Jerrold E. Marsden. - 3rd ed. - New York : Springer, 1998. - ix, 169 p. : ill. ; 24 cm. - Texts in applied mathematics ; 4 .
"Corrected third printing"--T.p. verso.
Includes bibliographical references and index.
Preface.- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations.- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation.- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the clas sical techniques of applied mathematics.
0387979182 (acidfree paper) 3540979182 (Berlin : acidfree paper)
Fluid mechanics.
532 / CHO