Global large solutions and incompressible limit for the compressible Navier–Stokes system with capillarity
Journal of Mathematical Analysis and Applications(2023)
摘要
Consider the Cauchy problem for the barotropic compressible Navier–Stokes–Korteweg equations in the whole space Rd (d≥2), supplemented with large initial velocity v0 and almost constant initial density ϱ0. In the two-dimensional case, the global solutions are shown in the critical Besov spaces framework without any restrictions on the size of the initial velocity, provided that the pressure admits a stability condition and the volume viscosity is sufficiently large. The result still holds for the higher dimensional case d≥3 under the additional assumption that the classical incompressible Navier-Stokes equations, supplemented with the initial velocity as the Helmholtz projection of v0, admits a global strong solution.
更多查看译文
关键词
Navier–Stokes–Korteweg system,Incompressible limit,Large solutions,Besov spaces
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要