Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum
DOI10.1007/s00033-023-02089-4zbMath1527.35395arXiv2303.04606OpenAlexW4386779281MaRDI QIDQ6053980
Publication date: 24 October 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.04606
global well-posednessGross-Pitaevskii equationEuler-Korteweg systemMadelung equationsMadelung transformnonzero boundary condition
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Maximal functions, Littlewood-Paley theory (42B25) Partial functional-differential equations (35R10) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Soliton solutions (35C08) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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