Chemin, Jean Yves Evolution of a punctual singularity in an Eulerian flow. (English) Zbl 0765.35035 Microlocal analysis and nonlinear waves, Proc. Workshop, IMA Program Nonlinear Waves, Minneapolis/MN (USA) 1988-89, IMA Vol. Math. Appl. 30, 29-36 (1991). Summary: [For the entire collection see Zbl 0758.00007.]The authors study the regularity of the solution of a compressible Euler system with a Cauchy data which is conormal with respect to the origin. He proves that the light cone issued from the origin is the union of a smooth hypersurface and a smooth curve. MSC: 35Q35 PDEs in connection with fluid mechanics 76N15 Gas dynamics (general theory) 35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs 35B65 Smoothness and regularity of solutions to PDEs Keywords:symbolic calculus; weighted Sobolev spaces; 2-microlocal space; compressible gas dynamics; regularity; compressible Euler system; Cauchy data; light cone Citations:Zbl 0758.00007 PDFBibTeX XMLCite \textit{J. Y. Chemin}, IMA Vol. Math. Appl. 30, 29--36 (1991; Zbl 0765.35035)