Global existence of weak solution to compressible Navier-Stokes/Allen-Cahn system in three dimensions
From MaRDI portal
Publication:2315050
DOI10.1016/j.jmaa.2019.05.012zbMath1421.35270OpenAlexW2946063613WikidataQ127892007 ScholiaQ127892007MaRDI QIDQ2315050
Changjiang Zhu, Senming Chen, Huanyao Wen
Publication date: 31 July 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.05.012
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems ⋮ On global classical solutions to one-dimensional compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and vacuum ⋮ Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity ⋮ Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system ⋮ The asymptotic stability of phase separation states for compressible immiscible two-phase flow in 3D ⋮ Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity ⋮ Stability of the phase separation state for compressible Navier-Stokes/Allen-Cahn system ⋮ Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system ⋮ On a non-isothermal incompressible Navier-Stokes-Allen-Cahn system ⋮ Existence of weak solutions to steady Navier-Stokes/Allen-Cahn system ⋮ Global well-posedness and \(L^2\) decay estimate of smooth solutions for 2D incompressible Navier-Stokes-Allen-Cahn system ⋮ Global well-posedness and \(L^2\) decay estimate of smooth solutions for 3-D incompressible two-phase flows ⋮ Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up criterion for an incompressible Navier-Stokes/Allen-Cahn system with different densities
- Decently regular steady solutions to the compressible NSAC system
- Trajectory attractors for binary fluid mixtures in 3D
- Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
- Ordinary differential equations, transport theory and Sobolev spaces
- Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
- Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D
- Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum
- Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system
- Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations
- ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
- On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
- On the existence of globally defined weak solutions to the Navier-Stokes equations