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math.AP2026
On the large-time behavior of strong solutions to the generalized compressible Navier-Stokes-Korteweg system in 2D and 3D for arbitrarily large initial data
Xiangdi Huang, Weili Meng
In this paper, we establish the global existence and large-time behavior of strong solutions for the two- and three-dimensional periodic compressible Navier-Stokes-Korteweg system…
math.AP2026
Global-in-time strong solutions for the 2D and 3D generalized compressible Navier-Stokes-Korteweg system with arbitrarily large initial data
Yongteng Gu, Xiangdi Huang, Weili Meng +1
In 1901, Korteweg formulated a constitutive equation for the Cauchy stress tensor to provide a continuum mechanical model for capillarity within fluids. Dunn and Serrin [Arch. Rati…
math.AP2026
Global regularity of the multi-dimensional compressible Navier-Stokes-Korteweg system with large initial data
Xiangdi Huang, Weili Meng, Xueyao Zhang
In this work, we establish the global existence of strong solutions to the 2D and 3D compressible Navier-Stokes-Korteweg system with arbitrarily large initial data on the torus. Th…