Local well posedness of the Euler-Korteweg equations on \({{\mathbb{T}}^d} \)

DOI10.1007/s10884-020-09927-3zbMath1477.35141arXiv2007.11275OpenAlexW3138968416WikidataQ115383318 ScholiaQ115383318MaRDI QIDQ2048677

F. Murgante, Massimiliano Berti, Alberto Maspero

Publication date: 23 August 2021

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

Full work available at URL: https://arxiv.org/abs/2007.11275

zbMATH Keywords

energy estimateslocal well-posednesspara-differential calculusEuler-Korteveg equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Long-time stability of the quantum hydrodynamic system on irrational tori ⋮ On the dynamic Rayleigh-Taylor instability in the Euler-Korteweg model ⋮ Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori ⋮ Local well posedness for a system of quasilinear PDEs modelling suspension bridges ⋮ Controllability of quasi-linear Hamiltonian Schrödinger equations on tori ⋮ On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations

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