On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions

DOI10.1017/prm.2019.11zbMath1454.37074arXiv1805.09666OpenAlexW2963096251WikidataQ128296903 ScholiaQ128296903MaRDI QIDQ3298567

Piotr Zgliczyński, Piotr Kalita

Publication date: 14 July 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09666

zbMATH Keywords

maximum principleenergy methodglobal stabilityBurgers equationasymptotic behaviourpullback attractorexponential attractioneternal solutionnonautonomous forcing

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

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