Referee's report by Augustus Edward Hough Love, on a paper 'On the problem of hydrodynamic stability. I. uniform shearing motion in a viscous fluid' by Richard Vynne Southwell and Letitia Chitty Sectional committee: Mathematics Recommended for publication in Philosophical Transactions, in full. The paper raises points of special interest that may add to current knowledge. It also contains valuable criticisms of previous work on the subject. [Published in Philosophical Transactions A, 1930]. Endorsed on verso as received 4 September 1929. 31 August 1929