Burgers equation with no-flux boundary conditions and its application for complete fluid separation

DOI10.1016/j.physd.2016.05.004zbMath1364.35201OpenAlexW2396732333MaRDI QIDQ2357728

Sohei Matsumoto, Shinya Watanabe, Naoki Ono, Tomohiro Higurashi

Publication date: 14 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2016.05.004

zbMATH Keywords

exactly solvable modelfluid separationno-flux boundary conditiontwo-dimensional networkcoupled quadratic mapshock collision

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Unnamed Item
• Convergence to steady state of solutions of Burgers' equation
• Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity
• Asymptotic-Numerical Study of Supersensitivity for Generalized Burgers' Equations
• Shock Layer Movement for Burgers’ equation
• On the exponentially slow motion of a viscous shock
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics