Convergence to steady state of solutions of Burgers' equation

From MaRDI portal
Publication:1094846

DOI10.1016/0168-9274(86)90026-7zbMath0631.65121OpenAlexW2065676431MaRDI QIDQ1094846

Gunilla Kreiss, Heinz-Otto Kreiss

Publication date: 1986

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2060/19860009593




Related Items (29)

Burgers equation with no-flux boundary conditions and its application for complete fluid separationThe impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equationsA multigrid upwind strategy for accelerating steady‐state computations of waves propagating with curvature‐dependent speedsSplitting scheme for the stability of strong shock profileMetastability for scalar conservation laws in a bounded domainOn the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value ProblemsMetastability for nonlinear convection-diffusion equationsOn exponential ill-conditioning and internal layer behaviorViscous Shock Motion for Advection‐Diffusion EquationsOn the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusionExistence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditionsOn partial differential equations related to Lorenz systemStability of viscous shocks on finite intervalsTransition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problemTransition to turbulence, small disturbances, and sensitivity analysis. II: The Navier-Stokes equationsA numerical study of stationary solution of viscous Burgers’ equation using waveletSmall time global null controllability for a viscous Burgers' equation despite the presence of a boundary layerStationary solutions for a boundary controlled Burgers' equationTime-discretization schema for a semilinear pseudo-parabolic equation with integral conditionsSlow dynamics in reaction–diffusion systemsConvergence of a homotopy finite element method for computing steady states of Burgers’ equationMultiple steady states for characteristic initial value problemsAsymptotic behavior for the viscous Burgers equation with a stationary sourceSlow motion of internal shock layers for the Jin-Xin system in one space dimensionOn the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' EquationsTime-Delayed Instabilities in Complex Burgers EquationsResolving weak internal layer interactions for the Ginzburg–Landau equationWave patterns, stability, and slow motions in inviscid and viscous hyperbolic equations with stiff reaction termsRobust numerical scheme for nonlinear modified Burgers equation



Cites Work


This page was built for publication: Convergence to steady state of solutions of Burgers' equation