Nonlinear stability of strong rarefaction waves for the generalized KdV-Burgers-Kuramoto equation with large initial perturbation
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Publication:708660
DOI10.1016/j.na.2010.07.005zbMath1207.35056OpenAlexW2025807996MaRDI QIDQ708660
Jongsung Kim, Linqiao Xie, Lili Fan, Ran Duan
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.07.005
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)
Related Items (4)
Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law ⋮ Global asymptotic stability of the rarefaction waves to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws ⋮ Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the scalar diffusive dispersive conservation laws
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