Attractors of viscous balance laws: Uniform estimates for the dimension

DOI10.1006/jdeq.1997.3342zbMath0897.35041OpenAlexW2094713847MaRDI QIDQ1382704

Jörg Härterich

Publication date: 18 March 1998

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

Full work available at URL: https://semanticscholar.org/paper/ea2dcdc465c854c9a35dad26ec1a9c8ca2bed55c

zbMATH Keywords

phase plane analysisglobal attractorinstable manifolds of the equilibria

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25)

Related Items (5)

Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle ⋮ Heteroclinic orbits between rotating waves in hyperbolic balance laws ⋮ Discontinuous traveling waves for scalar hyperbolic-parabolic balance law ⋮ Travelling wave solutions for a quasilinear model of field dislocation mechanics ⋮ Large-time behavior for conservation laws with source in a bounded domain

Cites Work

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• Connecting orbits in scalar reaction diffusion equations. II: The complete solution
• A Poincaré-Bendixson theorem for scalar reaction diffusion equations
• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• Stable transition layers in a semilinear boundary value problem
• Geometric theory of semilinear parabolic equations
• Geometric singular perturbation theory for ordinary differential equations
• A permutation related to the dynamics of a scalar parabolic PDE
• Convergence of solutions of one-dimensional semilinear parabolic equations
• Large time behaviour of solutions of balance laws with periodic initial data
• Heteroclinic orbits of semilinear parabolic equations
• The Dynamics of Rotating Waves in Scalar Reaction Diffusion Equations
• Global existence for semilinear parabolic systems.
• The zero set of a solution of a parabolic equation.
• Existence and stability of transition layers
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†
• A Poincaré–Bendixson theorem for scalar balance laws
• Orbit equivalence of global attractors of semilinear parabolic differential equations
• On the exponentially slow motion of a viscous shock
• Attractors in Inhomogeneous Conservation Laws and Parabolic Regularizations
• The Onset and End of the Gunn Effect in Extrinsic Semiconductors
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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