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In this paper, we prove the global existence of strong solutions for the 3D incompressible inhomogeneous viscoelastic system.
Reciprocal relations in irreversible processes. i
L. Onsager · 1931
Earlier work this paper cites.
Reciprocal relations in irreversible processes. ii
L. Onsager · 1931
Earlier work this paper cites.
On elliptic partial differential equations
L. Nirenberg · 1959
Earlier work this paper cites.
Singular Integrals and Differentiability Properties of Functions
E. M. Stein · 1970
Earlier work this paper cites.
Mathematical Problems in Viscoelasticity
M. Renardy, W. J. Hrusa, and J. A. Nohel · 1987
Earlier work this paper cites.
Mathematical Methods of Classical Mechanics
V. I. Arnold · 1989
Earlier work this paper cites.
Mathematical Analysis and Numerical Methods for Science and Technology. Vol. 3
R. Dautray and J. L. Lions · 1990
Earlier work this paper cites.
Fluid Dynamics of Viscoelastic Liquids
D. D. Joseph · 1990
Earlier work this paper cites.
The Structure and Rheology of Complex Fluids
R. G. Larson · 1999
Earlier work this paper cites.
Mathematical Analysis of Viscoelastic Flows
M. Renardy · 2000
Earlier work this paper cites.
About lifespan of regular solutions of equations related to viscoelastic fluids
J. Y. Chemin and N. Masmoudi · 2001
Earlier work this paper cites.
An Eulerian description of fluids containing visco-elastic particles
C. Liu and N. J. Walkington · 2001
Earlier work this paper cites.
Global existence of classical solutions for the two-dimensional Oldroyd model via the incompressible limit
Z. Lei and Y. Zhou · 2005
Earlier work this paper cites.
On hydrodynamics of viscoelastic fluids
F. H. Lin, C. Liu, and P. Zhang · 2005
Earlier work this paper cites.
The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions
Y. M. Chen and P. Zhang · 2006
Earlier work this paper cites.
Global existence for a 2D incompressible viscoelastic model with small strain
Z. Lei, C. Liu, and Y. Zhou · 2007
Earlier work this paper cites.
Global solutions for incompressible viscoelastic fluids
Z. Lei, C. Liu, and Y. Zhou · 2008
Earlier work this paper cites.
On the initial-boundary value problem of the incompressible viscoelastic fluid system
F. H. Lin and P. Zhang · 2008
Earlier work this paper cites.
Global strong solution to the density-dependent incompressible viscoelastic fluids
X. P. Hu and D. H. Wang · 2009
Earlier work this paper cites.
Energy variational analysis of ions in water and channels: Field theory for primitive models of complex ionic fluids
B. Eisenberg, Y. Hyon, and C. Liu · 2010
Earlier work this paper cites.
Global well-posedness for viscoelastic fluid system in bounded domains
L. B. He and L. Xu · 2010
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Local strong solution to the compressible viscoelastic flow with large data
X. P. Hu and D. H. Wang · 2010
Cited alongside, same era.
Global well-posedness for compressible viscoelastic fluids near equilibrium
J. Z. Qian and Z. F. Zhang · 2010
Cited alongside, same era.
Fourier Analysis and Nonlinear Partial Differential Equations
H. Bahouri, J. Y. Chemin, and R. Danchin · 2011
Cited alongside, same era.
An Introduction to the Mathematical Theory of the Navier-Stokes Equations
G. P. Galdi · 2011
Cited alongside, same era.
Global existence for the multi-dimensional compressible viscoelastic flows
X. P. Hu and D. H. Wang · 2011
Cited alongside, same era.
Dispersive effects of the incompressible viscoelastic fluids
D. Y. Fang, T. Zhang, and R. Z. Zi · 2018
Later among the works it cites.
Variational modeling and complex fluids
M. Giga, A. Kirshtein, and C. Liu · 2018
Later among the works it cites.
Equations for viscoelastic fluids
X. P. Hu, F. H. Lin, and C. Liu · 2018
Later among the works it cites.
Ideal density-dependent incompressible viscoelastic flow in the critical Besov spaces
H. Qiu and S. M. Fang · 2018
Later among the works it cites.
Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
Y. Zhu · 2018
Later among the works it cites.
Dispersive effect and global well-posedness of the compressible viscoelastic fluids
B. Han and R. Z. Zi · 2020
Later among the works it cites.
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Strong solutions of the equations for viscoelastic fluids in some classes of large data
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Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations
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Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion
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Global classical solutions of 3D compressible viscoelastic system near equilibrium
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