Global well-posedness for free boundary problem of the Oldroyd-B model fluid flow

DOI10.1002/mma.3634zbMath1342.35264OpenAlexW2126448747MaRDI QIDQ2814082

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3634

zbMATH Keywords

global well-posedness non-Newtonian compressible viscous barotropic fluid flow Oldroyd-B type orthogonal to rigid motion

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (1)

Steady flows of an Oldroyd fluid with threshold slip

Cites Work

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Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
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Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension
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Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids
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ABOUT A CERTAIN CLASS OF PARABOLIC-HYPERBOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS
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Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit
On hydrodynamics of viscoelastic fluids
Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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