During his life in France, Wu Xinmou took an active part in the anti-Japanese patriotic movement led by the China Production Party. As early as 1939, he was the editor of the progressive publication "Anti-Japanese Information of the Motherland" sponsored by the Travel Law Branch of China * * * Production Party. During the war years, the students studying in China were in a difficult situation and had a hard material life. Many people often eat in humble canteens, or exchange a small amount of cigarettes and wine for some bread. In spite of this, Wu Xinmou still tried to support the revolutionary activities of the Travel Law Branch of China's * * * production party. 1945, Wu Xinmou officially joined the China * * * Production Party, and served as a member of the China * * * Travel Branch and secretary-general of the French Overseas Chinese Federation. He successively carried out the Party's work under the leadership of Deng Fa and Liu Ningyi, and earnestly completed the tasks entrusted by the Party organization.
1In August, 945, with the overall victory of the anti-fascist war, Wu Xinmou returned to Paris. 1947 was recommended by adama as an affiliated researcher of French scientific research center. 1949, Wu Xinmou welcomed the establishment of People's Republic of China (PRC). 195 1 year, he resolutely returned to his long-lost motherland with his family and devoted himself enthusiastically to the cause of mathematics in People's Republic of China (PRC). After returning to China, Wu Xinmou worked as a researcher at the Institute of Mathematics of China Academy of Sciences. 1953 took the lead in establishing the differential equation group of Institute of Mathematics. 1956, the group expanded to the differential equation laboratory including ordinary differential equations and partial differential equations. For a quarter of a century, Wu Xinmou has been the director of this laboratory, and once served as a member of the party group of the Institute of Mathematics of China Academy of Sciences.
Wu Xinmou engaged in fluid mechanics research in his early years, focusing on the stability of viscous fluid motion. 1938 published a paper surunthéorèmederlorrayleigh in French Academy of Sciences (on Rayleigh Theorem), which extended the famous Rayleigh Theorem related to the complete fluid periodic motion equation under the condition that only the second derivative of the initial velocity distribution function is continuous. This result is of great significance to overcome the difficulties faced by small motion methods commonly used in classical fluid motion stability theory.
Since the 1940s, the theory of partial differential equations has become the main field of Wu Xinmou's long-term exploration. Firstly, he studied the ill-posed Cauchy problem (analytic continuation of several real variable functions) in the time plane of wave equation. Adama once obtained a set of (3) necessary conditions for Cauchy problem to have a solution in the time plane of wave equation. Wu Xinmou proved by H.A. Schwarz theorem that one of the conditions depends on the other two. This result was quoted by Adama in the collection commemorating R. Courand's 60th birthday in 1948, and it was pointed out that the analytic extension of multiple real variables is a new problem, and the shape of the extension region is no longer arbitrary.
In 1950s, Wu Xinmou's interest focused on the theory of mixed partial differential equations. The first "zero integral" method (which later evolved into abcPQR method in general literature) has been valued and cited by famous scholars such as K.O. Friedrichs, and this article has been designated as a reading document by Courand Institute in the United States.