Freezing similarity solutions in the multi-dimensional Burgers equation

DOI10.1088/1361-6544/aa89d5zbMath1421.35326arXiv1610.04070OpenAlexW2535904790MaRDI QIDQ4600129

Jens Rottmann-Matthes

Publication date: 5 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04070

zbMATH Keywords

Burgers' equationsimilarity solutionsfreezing method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Computation and stability of waves in equivariant evolution equations

Uses Software

• AUTO

Cites Work

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• Self-similar 2d Euler solutions with mixed-sign vorticity
• Stability and freezing of nonlinear waves in first order hyperbolic PDEs
• Large time behaviour of solutions of the porous media equation with absorption
• Semigroups of linear operators and applications to partial differential equations
• Symmetry groups and group invariant solutions of partial differential equations
• Weighted essentially non-oscillatory schemes on triangular meshes
• Bifurcations and dynamics of spiral waves
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Analysis of the self-similar solutions of the nonplanar Burgers equation
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Diffusive N-Waves and Metastability in the Burgers Equation
• Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity
• Self-Similar Solutions of a Convection Diffusion Equation And Related Semilinear Elliptic Problems
• Variational problems related to self-similar solutions of the heat equation
• Weakly Differentiable Functions
• Reduction and reconstruction for self-similar dynamical systems
• A Differentiation Index for Partial Differential-Algebraic Equations
• Freezing Solutions of Equivariant Evolution Equations
• Stability and Computation of Dynamic Patterns in PDEs
• The partial differential equation u_t + uu_x = μ_xx

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