Long time behaviour of solutions of abstract inequalities. Applications to thermohydraulic and magnetohydrodynamic equations

DOI10.1016/0022-0396(86)90121-XzbMath0549.35102MaRDI QIDQ800575

Jean-Michel Ghidaglia

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsasymptotic expansionRiemann manifoldM. H. D. equationsscalar inequalities of parabolic typethermo-hydraulic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Partial differential inequalities and systems of partial differential inequalities (35R45) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (11)

A fois-saut type of expansion for dissipative wave equations ⋮ Linearization and normal form of the Navier-Stokes equations with potential forces ⋮ Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations ⋮ Asymptotic behaviour of strongly damped nonlinear hyperbolic equations ⋮ Some backward uniqueness results ⋮ Long-time behaviour of solutions of superlinear systems of differential equations ⋮ Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method ⋮ Exponential decay of solutions of damped nonlinear hyperbolic equations ⋮ NAVIER AND STOKES MEET POINCARÉAND DULAC ⋮ Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity ⋮ Exact decay estimates for solutions to semilinear parabolic equations

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