Existence and Lipschitz stability for α-dissipative solutions of the two-component Hunter–Saxton system

DOI10.1142/S0219891618500182zbMath1417.35169arXiv1610.05673MaRDI QIDQ5377560

Katrin Grunert, Anders Nordli

Publication date: 24 May 2019

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

Full work available at URL: https://arxiv.org/abs/1610.05673

zbMATH Keywords

Lipschitz stability\(\alpha\)-dissipative solutionsthe two-component Hunter-Saxton system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items

Uniqueness of conservative solutions for the Hunter-Saxton equation ⋮ A two-component nonlinear variational wave system ⋮ A convergent numerical algorithm for \(\alpha\)-dissipative solutions of the Hunter-Saxton equation ⋮ The Hunter-Saxton equation with noise ⋮ Numerical conservative solutions of the Hunter-Saxton equation ⋮ Lipschitz stability for the Hunter–Saxton equation

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