Suitable initial conditions

DOI10.1016/j.jcp.2006.03.033zbMath1106.65091OpenAlexW2084908157MaRDI QIDQ858541

Roger M. Temam

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.03.033

zbMATH Keywords

Navier-Stokes equationsheat equationwave equationinitial value problemscompatibility conditionsconvection equation

Mathematics Subject Classification ID

Heat equation (35K05) Navier-Stokes equations (35Q30) Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Turbulent flow in pipes and channels as cross-stream “inverse cascades” of vorticity ⋮ On the Prandtl boundary layer equations in presence of corner singularities ⋮ EULAG, a computational model for multiscale flows ⋮ On mass conservation and solvability of the discretized variable-density zero-Mach Navier-Stokes equations ⋮ Building Blocks for a Strictly Conservative Generalized Finite Volume Projection Method for Zero Mach Number Two-Phase Flows ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Behaviour at time t=0 of the solutions of semi-linear evolution equations
• Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods
• Accurate numerical resolution of transients in initial-boundary value problems for the heat equation
• The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems
• On pressure boundary conditions for the incompressible Navier-Stokes equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
• Initial-Boundary Value Problems and the Navier-Stokes Equations