HR job title
- Assistant Professor
- Contact Info
- ORCiD
- 0000-0001-7021-8644
Liu, Xin Assistant Professor
Positions
- Assistant Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Teaching
- Contact
- Other
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Overview
Publications
selected publications
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academicarticle
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Liu, X.
A MODEL OF RADIATIONAL GASEOUS STARS. SIAM Journal on Mathematical Analysis.
50(6), 6100-6155.
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Liu, X.
COMPRESSIBLE VISCOUS FLOWS IN A SYMMETRIC DOMAIN WITH COMPLETE SLIP BOUNDARY: THE NONLINEAR STABILITY OF UNIFORMLY ROTATING STATES WITH SMALL ANGULAR VELOCITIES. Communications on Pure and Applied Analysis.
18(2), 751-794.
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Bardos, C., Liu, X., & Titi, E. S.
Derivation of a Generalized Quasi-Geostrophic Approximation for Inviscid Flows in a Channel Domain: The Fast Waves Correction. Communications in Mathematical Physics.
405(7), 164.
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Liu, X., & Titi, E. S.
GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE COMPRESSIBLE PRIMITIVE EQUATIONS OF ATMOSPHERIC DYNAMICS WITH DEGENERATE VISCOSITIES. SIAM Journal on Mathematical Analysis.
51(3), 1913-1964.
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Liu, X.
Global solutions to compressible Navier-Stokes equations with spherical symmetry and free boundary. Nonlinear Analysis: Real World Applications.
42, 220-254.
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Liu, X., & Yuan, Y.
Immediate Blowup of Entropy-Bounded Classical Solutions to the Vacuum Free Boundary Problem of Nonisentropic Compressible NavierStokes Equations. SIAM Journal on Mathematical Analysis.
55(3), 1524-1544.
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Liu, X., & Yuan, Y.
LOCAL EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS TO THE FREE BOUNDARY PROBLEM OF THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THREE DIMENSIONS. SIAM Journal on Mathematical Analysis.
51(2), 748-789.
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Liu, X., & Titi, E. S.
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations. Archive for Rational Mechanics and Analysis.
241(2), 729-764.
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Lin, Q., Liu, X., & Titi, E. S.
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations. Journal of Mathematical Fluid Mechanics.
24(3), 73.
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Liu, X.
On the expanding configurations of viscous radiation gaseous stars: Thermodynamic model. Journal of Differential Equations.
268(6), 2717-2751.
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Liu, X.
On the expanding configurations of viscous radiation gaseous stars: the isentropic model. NONLINEARITY.
32(8), 2975-3011.
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Liu, X.
On the resolvability of the dynamics of one fluid flow via a testing fluid in a two-fluids flow model. Journal of Differential Equations.
343, 579-605.
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Liu, X., & Titi, E. S.
Rigorous justification of the hydrostatic approximation limit of viscous compressible flows. Physica D : Non-linear phenomena.
464, 134195-134195.
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Bresch, D., Klein, R., & Liu, X.
The Soundproof Model of an Acoustic-internal Waves System with Low Stratification. Journal of Mathematical Fluid Mechanics.
24(4), 95.
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Liu, X., & Yuan, Y.
The self-similar solutions to full compressible Navier-Stokes equations without heat conductivity. Mathematical Models and Methods in Applied Sciences.
29(12), 2271-2320.
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Liu, X., Thomas, M., & Titi, E. S.
Well-Posedness of Hibler's Dynamical Sea-Ice Model. Journal of Nonlinear Science.
32(4), 49.
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Liu, X., & Titi, E. S.
Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows. Journal of Mathematical Fluid Mechanics.
22(3), 39.
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Liu, X., Thomas, M., & Titi, E. S.
Well-posedness of Hibler's dynamical sea-ice model
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Liu, X., & Titi, E. S.
Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data. Archive for Rational Mechanics and Analysis.
238(2), 705-747.
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Liu, X., & Titi, E. S.
Zero Mach number limit of the compressible primitive equations: Ill-prepared initial data. Journal of Differential Equations.
356, 1-58.
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Liu, X.
A MODEL OF RADIATIONAL GASEOUS STARS. SIAM Journal on Mathematical Analysis.
50(6), 6100-6155.
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institutional repository document
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Liu, X.
A Model of Radiational Gaseous Stars
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Liu, X., Titi, E. S., & Xin, Z.
Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum
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Liu, X.
Compressible Viscous Flows in a Symmetric Domain with Complete Slip Boundary
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Bardos, C., Liu, X., & Titi, E. S.
Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction
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Liu, X.
Global Solutions to Compressible Navier-Stokes Equations With Spherically Symmetric Motion and Free Boundary
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Liu, X., & Yuan, Y.
Immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of non-isentropic compressible Navier--Stokes equations
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Liu, X., & Yuan, Y.
Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in 3D
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Li, J., Liu, X., & Peschka, D.
Local well-posedness and global stability of one-dimensional shallow water equations with surface tension and constant contact angle
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Doppler, S., Klein, R., Liu, X., & Titi, E.
Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air
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Liu, X.
On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models
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Klein, R., & Liu, X.
On the boundary layer arising from fast internal waves dynamics
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Lin, Q., Liu, X., & Titi, E. S.
On the effect of fast rotation and vertical viscosity on the lifespan of the $3D$ primitive equations
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Liu, X.
On the resolvability of the dynamics of one fluid flow via a testing fluid in a two-fluids flow model
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Liu, X., & Yuan, Y.
On the self-similar solution to full compressible Navier-Stokes equations without heat conductivity
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Liu, X., & Titi, E. S.
Rigorous justification of the hydrostatic approximation limit of viscous compressible flows
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Bresch, D., Klein, R., & Liu, X.
The soundproof model of an acoustic--internal waves system with low stratification
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Liu, X.
Well-posedness of the viscous equations with strong stratification
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Liu, X., & Titi, E. S.
Zero Mach Number Limit of the Compressible Primitive Equations Part I: Well-prepared Initial Data
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Liu, X.
A Model of Radiational Gaseous Stars
Teaching
teaching activities
- MATH308 Differential Equations Instructor
- MATH612 Part Diff Eq Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Contact
first name
- Xin
has last name
- Liu
Other
- xliu23@tamu.edu