Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions

DOI10.1007/s00033-020-01422-5zbMath1475.35362OpenAlexW3094668397WikidataQ114693011 ScholiaQ114693011MaRDI QIDQ2025453

Konstantinas Pileckas, Raimondas Čiegis

Publication date: 14 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01422-5

zbMATH Keywords

heat equationinverse problemnonstationary Navier-Stokes equationscylindrical domainminimal regularitynonstationary Poiseuille-type solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Heat equation (35K05) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Physiological flows (76Z05) Physiological flow (92C35) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)

Related Items (2)

Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity ⋮ Time-periodic Poiseuille-type solution with minimally regular flow rate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. II: General case
• Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder
• Global solvability in \(W^{2,1}_2\)-weighted spaces of the two-dimensional Navier-Stokes problem in domains with strip-like outlets to infinity
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• On the acceleration of viscous fluid through an unbounded channel
• The relation between flow rate and axial pressure gradient for time-periodic Poiseuille flow in a pipe
• Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time
• On the unsteady Poiseuille flow in a pipe
• Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity
• Approximate solutions for Volterra integral equations of the first kind
• Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains-Leray's problem for periodic flows
• Asymptotic analysis of the nonsteady viscous flow with a given flow rate in a thin pipe
• Realizability of a braid monodromy by an algebraic function in a disk
• INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION

This page was built for publication: Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions