Rigorous Numerics for Dissipative Partial Differential Equations II. Periodic Orbit for the Kuramoto–Sivashinsky PDE—A Computer-Assisted Proof

Author： Zgliczynski Piotr  

Publisher： Springer Publishing Company

ISSN： 1615-3375

Source： Foundations of Computational Mathematics, Vol.4, Iss.2, 2004-04, pp. : 157-185

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Related content

On a nonlocal analog of the Kuramoto–Sivashinsky equation

By  

Nonlinearity, Vol. 28, Iss. 4, 2015-04 ,pp. : 1103-1133

IOP Publishing

Access to resources Recommend Favorite

Symmetry Breaking Hopf Bifurcations in Equations with O(2) Symmetry with Application to the Kuramoto-Sivashinsky Equation

By Amdjadi F.   Aston P.J.   Plechac P.  

Journal of Computational Physics, Vol. 131, Iss. 1, 1997-02 ,pp. : 181-192

Academic Press

Access to resources Recommend Favorite

The implicit function theorem and multi-bump solutions of periodic partial differential equations

By Magnus Robert  

Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol. 136, Iss. 3, 2006-06 ,pp. : 559-583

Royal Society of Edinburgh

Access to resources Recommend Favorite

On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof

By Gómez-Serrano Javier   Granero-Belinchón Rafael  

Nonlinearity, Vol. 27, Iss. 6, 2014-06 ,pp. : 1471-1498

IOP Publishing

Access to resources Recommend Favorite

Dissipative or Conservative Finite-Difference Schemes for Complex-Valued Nonlinear Partial Differential Equations

By Matsuo T.   Furihata D.  

Journal of Computational Physics, Vol. 171, Iss. 2, 2001-08 ,pp. : 425-447

Academic Press

Access to resources Recommend Favorite