On the Closed‐Form Solutions of the Wave, Diffusion and Burgers Equations in Fluid Mechanics

DOI10.1002/ZAMM.19950750604zbMath0832.35116OpenAlexW2079719824MaRDI QIDQ4847508

Dimitrios E. Panayotounakos, Dimitris Drikakis

Publication date: 26 February 1996

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950750604

zbMATH Keywords

wave equationdiffusion equationBurgers equationsmooth initial and boundary conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Diffusion (76R50) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General aerodynamics and subsonic flows (76G25) Solutions to PDEs in closed form (35C05)

Related Items (7)

An improvised collocation algorithm with specific end conditions for solving modified Burgers equation ⋮ ColESo: collection of exact solutions for verification of numerical algorithms for simulation of compressible flows ⋮ On the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusion ⋮ On a weakly L‐stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic partial differential equations ⋮ A multiresolution collocation method and its convergence for Burgers' type equations ⋮ New regularity results for the heat equation and application to non-homogeneous Burgers equation ⋮ Robust numerical scheme for nonlinear modified Burgers equation

Cites Work

• Unnamed Item
• Unnamed Item
• Inviscid flux-splitting algorithms for real gases with non-equilibrium chemistry
• A finite time singularity of the boundary layer equations of natural convection
• Perturbation methods in applied mathematics
• A note on a boundary-layer collision on a rotating sphere
• Nonlinear partial differential equations in engineering
• The linearized flow of a dissociating gas
• The Role of Critical Exponents in Blowup Theorems
• A mathematical problem from detonation theory
• On the near-equilibrium and near-frozen regions in an expansion wave in a relaxing gas
• Non-linear dispersive waves
• On a quasi-linear parabolic equation occurring in aerodynamics

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