On the global existence and uniqueness of solutions to the nonstationary boundary-layer system

DOI10.1007/S11425-006-0932-9zbMath1111.76014OpenAlexW2054208923MaRDI QIDQ867764

Jian-Wen Zhang, Jun Ning Zhao

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0932-9

zbMATH Keywords

stabilityglobal weak solutionsBV space

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (6)

Solutions for the problem of boundary layer formation in a pseudo-plastic fluid: the case of gradual acceleration ⋮ Well-posedness for a class of nonlinear parabolic equations with strong degeneracy ⋮ BV entropy solutions of two-dimensional nonstationary Prandtl boundary layer system ⋮ Study of the stability to an anisotropic reaction-diffusion equation ⋮ On the global existence and uniqueness of solutions to Prandtl's system ⋮ The solutions of a hyperbolic-parabolic mixed type equation on half-space domain

Cites Work

• On the global existence of solutions to the Prandtl's system.
• Blowup of solutions of the unsteady Prandtl's equation
• On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid
• Unnamed Item
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