Global dynamics of 2D boussinesq equations

DOI10.1016/S0362-546X(96)00218-0zbMath0927.37058OpenAlexW2024250846MaRDI QIDQ4378895

Yun-Cheng You

Publication date: 13 December 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00218-0

zbMATH Keywords

global attractorasymptotic compactnessdissipative semigroup2D weakly damped Boussinesq equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Long-time behavior for second order lattice dynamical systems

Cites Work

• Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
• Infinite-dimensional dynamical systems in mechanics and physics
• The asymptotic form for long times of the solution of the Boussinesq equation with dissipation
• Boussinesq's equation on the circle
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