Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity
DOI10.1016/j.cnsns.2021.106188zbMath1483.35119arXiv2109.00159OpenAlexW3196835591MaRDI QIDQ2074191
Jean-Philippe Lessard, Akitoshi Takayasu, Jonathan Jaquette
Publication date: 4 February 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.00159
periodic boundary conditionsone space dimensioncomputer-assisted proofheteroclinic connectionsglobal existence of solutionrigorous numericscomplex-valued nonlinear heat equationlong term behavior of trajectories on the unstable manifold
Initial-boundary value problems for second-order parabolic equations (35K20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
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