Computer-assisted proofs in PDE: a survey-Reference-Cited by-同舟云学术

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Computer-assisted proofs in PDE: a survey

Published:2019-02-05 Issue:3 Volume:76 Page:459-484
ISSN:2254-3902
Container-title:SeMA Journal
language:en
Short-container-title:SeMA

Author:

Gómez-Serrano Javier

Funder

Simons Foundation

Division of Mathematical Sciences

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Ministerio de Economíaa, Industria y Competitividad, Gobierno de España

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modelling and Simulation,Numerical Analysis

Link

http://link.springer.com/article/10.1007/s40324-019-00186-x/fulltext.html

Reference141 articles.

1. Ambrose, D.M.: Well-posedness of two-phase Hele–Shaw flow without surface tension. Eur. J. Appl. Math. 15(5), 597–607 (2004)

2. Arioli, G., Koch, H.: Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto–Sivashinski equation. Arch. Ration. Mech. Anal. 197(3), 1033–1051 (2010)

3. Arioli, G., Koch, H.: Integration of dissipative partial differential equations: a case study. SIAM J. Appl. Dyn. Syst. 9(3), 1119–1133 (2010)

4. Arioli, G., Koch, H.: Families of periodic solutions for some Hamiltonian PDEs. SIAM J. Appl. Dyn. Syst. 16(1), 1–15 (2017)

5. Barker, B.: Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow. J. Differ. Equ. 257(8), 2950–2983 (2014)

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