Issue 1

- Existence Theorems for Some Hydrodynamical Free Boundary Problems by and James Serrin, Jr.
- Intrinsic Deformation Theory of Subspaces in a Riemann Space by and Vaiclav Hlavaty
- On the Geometry of Two-Dimensional Elastic Stress Fields by P. Nemenyi, and A. Saienz
- Statistical Hydromechanics and Functional Calculus by and Eberhard Hopf
- The Mechanical Foundations of Elasticity and Fluid Dynamics by and C. Truesdell

- Caratheodory's Temperature Equations by and G. Whaples
- Uniqueness of Axially Symmetric Flows with Free Boundaries by and David Gilbarg
- Spinor Space and Line Geometry II by and Vaiclav Hlavaty

- On the Characteristic Surfaces of the von Mises Plasticity Equations by and T. Thomas
- Extremal Methods in Cavitational Flow by P. Garabedian, and D. Spencer
- The Phragmen-Lindelof Theorem for Elliptic Partial Differential Equations by and David Gilbarg
- Remarks on the Preceding Paper by D. Gilbarg by and Eberhard Hopf
- Steady Rotational Flow of Ideal Gases by and R. Prim, 3rd

- The General Problem of the Transformation of the Equations of Dynamics by Andre Lichnerowicz, and Don Aufenkamp
- Thin Liquid Jets by and Jerald Ericksen
- The Elementary Basic Principles of the Unified Theory of Relativity. A by and Vaiclav Hlavaty
- Two Hydrodynamic Comparison Theorems by and James Serrin
- Uniqueness Theorems for Certain Parabolic Problems by and F. Ficken
- The Eigenvalues of Some Stability Problems Involving Viscosity by and Cathleen Morawetz
- On the Existence of Subsonic Flows of a Compressible Fluid by and Max Shiffman