Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities

DOI10.1007/s00021-022-00722-2zbMath1496.35279arXiv2112.11154OpenAlexW4289223958MaRDI QIDQ2162753

Alice Marveggio, Sebastian Hensel

Publication date: 9 August 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11154

zbMATH Keywords

two-phase fluid flowweak-strong uniquenessrelative entropy methodvarifold solutionsninety degree contact angle

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Flows related to mean curvature (53E10)

Related Items (3)

Convergence rates for the Allen-Cahn equation with boundary contact energy: the non-perturbative regime ⋮ The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach ⋮ Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of the thresholding scheme for multi-phase mean-curvature flow
• Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
• Dissipative continuous Euler flows
• Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems
• An inviscid flow with compact support in space-time
• The Euler equations as a differential inclusion
• A well-posed model for dynamic contact angles
• A proof of Onsager's conjecture
• Nonuniqueness of weak solutions to the Navier-Stokes equation
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• Weak solutions with decreasing energy of incompressible Euler equations
• Local well-posedness of incompressible viscous fluids in bounded cylinders with \(90^\circ \)-contact angle
• Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
• A kinematic evolution equation for the dynamic contact angle and some consequences
• An existence theorem for Brakke flow with fixed boundary conditions
• Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
• Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension
• On generalized solutions of two-phase flows for viscous incompressible fluids
• Un teorema di unicita per le equazioni di Navier-Stokes
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• Onsager's Conjecture for Admissible Weak Solutions
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Weak-Strong Uniqueness in Fluid Dynamics

This page was built for publication: Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities