Small energy traveling waves for the Euler–Korteweg system
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Publication:5368875
DOI10.1088/1361-6544/aa7cc2zbMath1375.35357arXiv1612.02302OpenAlexW3099987018MaRDI QIDQ5368875
Publication date: 11 October 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.02302
PDEs in connection with fluid mechanics (35Q35) Variational methods for elliptic systems (35J50) Soliton equations (35Q51) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Traveling wave solutions (35C07) Euler equations (35Q31)
Related Items (9)
Zero Mach number limit of the compressible Euler-Korteweg equations ⋮ On the time of existence of solutions of the Euler-Korteweg system ⋮ The Boussinesq systems on the background of a line solitary wave ⋮ Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d ⋮ On the dynamic Rayleigh-Taylor instability in the Euler-Korteweg model ⋮ On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations ⋮ Asymptotic behavior of solutions to the Euler-Korteweg equations with time-dependent damping ⋮ Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity ⋮ Existence of multi-travelling waves in capillary fluids
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