On the ill-posedness for the Navier-Stokes equations in the weakest Besov spaces

DOI10.1007/s00245-024-10177-8MaRDI QIDQ6622690

Yanghai Yu, Jinlu Li

Publication date: 22 October 2024

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Gas dynamics (general theory) (76N15) Ill-posed problems for PDEs (35R25) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Cites Work

• Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
• Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces
• Existence of global strong solutions in critical spaces for barotropic viscous fluids
• A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
• Ill-posedness of the Navier-Stokes equations in a critical space in 3D
• The second iterate for the Navier-Stokes equation
• Global existence in critical spaces for compressible Navier-Stokes equations
• Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas
• Ill-posedness for the compressible Navier-Stokes equations under barotropic condition in limiting Besov spaces
• On the Navier-Stokes initial value problem. I
• On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
• ILL-POSEDNESS FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH THE VELOCITY IN FRAMEWORK
• Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density
• Global existence in critical spaces for flows of compressible viscous and heat-conductive gases

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