A reduction principle for coupled nonlinear parabolic-hyperbolic PDE

DOI10.1007/s00028-004-0175-6zbMath1073.37088OpenAlexW2090300847MaRDI QIDQ1773454

Igor D. Chueshov

Publication date: 29 April 2005

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

Full work available at URL: https://doi.org/10.1007/s00028-004-0175-6

zbMATH Keywords

thermoelasticitycoupled systemsparabolic and hyperbolic equationsabstract evolution systeminvariant Lipschitz manifold

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Abstract hyperbolic equations (35L90) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (10)

Invariant manifolds and nonlinear master-slave synchronization in coupled systems ⋮ On the reduction principle for differential equations with piecewise constant argument of generalized type ⋮ The 3-D nonlinear hyperbolic-parabolic problems: invariant manifolds ⋮ Blow up of solutions of systems of nonlinear equations of thermoelasticity ⋮ An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system ⋮ Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system ⋮ Synchronization in coupled stochastic sine-Gordon wave model ⋮ Averaging of Attractors and Inertial Manifolds for Parabolic PDE With Random Coefficients ⋮ Blow-up of solutions of coupled parabolic systems and hyperbolic equations ⋮ Master-slave synchronization and invariant manifolds for coupled stochastic systems

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