Existence and stability of time periodic solution to the compressible Navier-Stokes-Korteweg system on \(\mathbb{R}^3\)

DOI10.1007/s00021-015-0244-3zbMath1381.35122OpenAlexW2262692905MaRDI QIDQ270185

Kazuyuki Tsuda

Publication date: 7 April 2016

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-015-0244-3

zbMATH Keywords

time periodic solutioncompressible Navier-Stokes-Korteweg systemexistence and stability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (14)

Time-periodic and stationary solutions to the compressible Hall-magnetohydrodynamic system ⋮ Strong solutions for the compressible barotropic fluid model of Korteweg type in the bounded domain ⋮ Time periodic motion of temperature driven compressible fluids ⋮ Time-periodic solution to the compressible viscous quantum magnetohydrodynamic model ⋮ The existence of global solutions for the full Navier-Stokes-Korteweg system of van der Waals gas ⋮ Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line ⋮ Taylor–Couette flow with temperature fluctuations: Time periodic solutions ⋮ Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces ⋮ A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces ⋮ Compressible-incompressible two-phase flows with phase transition: model problem ⋮ On the maximal \(L_p-L_q\) regularity for a compressible fluid model of Korteweg type on general domains ⋮ Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data ⋮ Unnamed Item ⋮ Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition

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