Non-existence of classical solutions with finite energy to the Cauchy problem of the Navier–Stokes–Korteweg equations

DOI10.1063/5.0083048OpenAlexW4224212397MaRDI QIDQ5884306

Tong Tang

Publication date: 20 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0083048

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

On the blow‐up phenomena of the compressible Navier‐Stokes‐Korteweg system with degenerate viscosity ⋮ On Well-Posedness of Quantum Fluid Systems in the Class of Dissipative Solutions

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