2013/12/05 by Alberto Bressan, Bressan, Alberto, Truyen Nguyen +1
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.1312.1636
15 pages, 5 figures
arxiv created 2013/12/05 · openalex publication_date 2013/12/05 · arxiv updated 2013/12/06 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
The paper is concerned with sticky weak solutions to the equations of pressureless gases in two or more space dimensions. Various initial data are constructed, showing that the Cauchy problem can have (i) two distinct sticky solutions, or (ii) no sticky solution, not even locally in time. In both cases the initial density is smooth with compact support, while the initial velocity field is continuous.