Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations
Copyright policy )Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations
The paper gives a comprehensive study of Inertial Manifolds for hyperbolic relaxations of an abstract semilinear parabolic equation in a Hilbert space. A new scheme of constructing Inertial Manifolds for such type of problems is suggested and optimal spectral gap conditions which guarantee their existence are established. Moreover, the dependence of the constructed manifolds on the relaxation parameter in the case of the parabolic singular limit is also studied.
- University of Surrey United Kingdom
Ginzburg-Landau equations, Asymptotic behavior of solutions to PDEs, inertial manifold, 35B40, 35B45, A priori estimates in context of PDEs, Mathematics - Analysis of PDEs, Inertial manifolds, hyperbolic relaxation, FOS: Mathematics, gap property, Semilinear parabolic equations, Analysis of PDEs (math.AP)
Ginzburg-Landau equations, Asymptotic behavior of solutions to PDEs, inertial manifold, 35B40, 35B45, A priori estimates in context of PDEs, Mathematics - Analysis of PDEs, Inertial manifolds, hyperbolic relaxation, FOS: Mathematics, gap property, Semilinear parabolic equations, Analysis of PDEs (math.AP)
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