| Year |
Citation |
Score |
| 2018 |
Liu T, Yu S. Multi-dimensional Wave Propagation Over a Burgers Shock Profile Archive For Rational Mechanics and Analysis. 229: 231-337. DOI: 10.1007/S00205-018-1217-5 |
0.424 |
|
| 2016 |
Chen IK, Funagane H, Liu TP, Takata S. Singularity of the Velocity Distribution Function in Molecular Velocity Space Communications in Mathematical Physics. 341: 105-134. DOI: 10.1007/S00220-015-2476-8 |
0.452 |
|
| 2015 |
Liu T, Noh SE. Wave propagation for the compressible Navier–Stokes equations Journal of Hyperbolic Differential Equations. 12: 385-445. DOI: 10.1142/S0219891615500113 |
0.445 |
|
| 2014 |
Liu T, Yu S. Boundary Wave Propagator for Compressible Navier---Stokes Equations Foundations of Computational Mathematics. 14: 1287-1335. DOI: 10.1007/S10208-013-9180-X |
0.343 |
|
| 2014 |
Chen I, Liu T, Takata S. Boundary Singularity for Thermal Transpiration Problem of the Linearized Boltzmann Equation Archive For Rational Mechanics and Analysis. 212: 575-595. DOI: 10.1007/S00205-013-0714-9 |
0.396 |
|
| 2013 |
Liu TP. Aspects of dissipation for compressible fluids and kinetic theory. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 371: 20120347. PMID 24249774 DOI: 10.1098/Rsta.2012.0347 |
0.32 |
|
| 2013 |
Liu T, Yu S. Invariant Manifolds for Steady Boltzmann Flows and Applications Archive For Rational Mechanics and Analysis. 209: 869-997. DOI: 10.1007/S00205-013-0640-X |
0.481 |
|
| 2009 |
Liu T, Yu S. Boltzmann equation, boundary effects Discrete and Continuous Dynamical Systems. 24: 145-157. DOI: 10.3934/Dcds.2009.24.145 |
0.405 |
|
| 2009 |
Liu T, Zeng Y. On Green＇S Function For Hyperbolic-Parabolic Systems Acta Mathematica Scientia. 29: 1556-1572. DOI: 10.1016/S0252-9602(10)60003-3 |
0.424 |
|
| 2009 |
Liu T, Zeng Y. Time-Asymptotic Behavior of Wave Propagation Around a Viscous Shock Profile Communications in Mathematical Physics. 290: 23-82. DOI: 10.1007/S00220-009-0820-6 |
0.439 |
|
| 2007 |
Liu T, Yu S. Initial‐boundary value problem for one‐dimensional wave solutions of the Boltzmann equation Communications On Pure and Applied Mathematics. 60: 295-356. DOI: 10.1002/Cpa.20172 |
0.465 |
|
| 2007 |
Chen C, Chen I, Liu T, Sone Y. Thermal transpiration for the linearized Boltzmann equation Communications On Pure and Applied Mathematics. 60: 147-163. DOI: 10.1002/Cpa.20167 |
0.475 |
|
| 2006 |
Lee M, Liu T, Yu S. Large-Time Behavior of Solutions for the Boltzmann Equation with Hard potentials Communications in Mathematical Physics. 269: 17-37. DOI: 10.1007/S00220-006-0108-Z |
0.431 |
|
| 2006 |
Liu T, Yang T, Yu S, Zhao H. Nonlinear Stability of Rarefaction Waves for the Boltzmann Equation Archive For Rational Mechanics and Analysis. 181: 333-371. DOI: 10.1007/S00205-005-0414-1 |
0.444 |
|
| 2005 |
Elling V, Liu T. The Ellipticity Principle For Self-Similar Potential Flows Journal of Hyperbolic Differential Equations. 2: 909-917. DOI: 10.1142/S0219891605000646 |
0.513 |
|
| 2004 |
Chen C, Liu T, Yang T. Existence of boundary layer solutions to the Boltzmann equation Analysis and Applications. 2: 337-363. DOI: 10.1142/S0219530504000400 |
0.437 |
|
| 2004 |
Liu T, Yang T, Yu S. Energy method for Boltzmann equation Physica D: Nonlinear Phenomena. 188: 178-192. DOI: 10.1016/J.Physd.2003.07.011 |
0.366 |
|
| 2004 |
Liu T, Yu S. Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles Communications in Mathematical Physics. 246: 133-179. DOI: 10.1007/S00220-003-1030-2 |
0.426 |
|
| 2004 |
Liu T, Yu S. The Green's Function and Large-Time Behavior of Solutions for the One-Dimensional Boltzmann Equation Communications On Pure and Applied Mathematics. 57: 1543-1608. DOI: 10.1002/Cpa.20011 |
0.458 |
|
| 2003 |
Liu T, Ruggeri T. Entropy Production and Admissibility of Shocks Acta Mathematicae Applicatae Sinica. 19: 1-12. DOI: 10.1007/S10255-003-0074-6 |
0.371 |
|
| 2002 |
Liu T, Yang T. Weak Solutions of General Systems of Hyperbolic Conservation Laws Communications in Mathematical Physics. 230: 289-327. DOI: 10.1007/S00220-002-0705-4 |
0.485 |
|
| 2002 |
Deng Y, Liu T, Yang T, Yao Z. Solutions of Euler-Poisson Equations¶for Gaseous Stars Archive For Rational Mechanics and Analysis. 164: 261-285. DOI: 10.1007/S00205-002-0209-6 |
0.497 |
|
| 2001 |
Yang T, Zheng Y, Liu T. Some Nonlinear Functionals for Scalar Conservation Laws Methods and Applications of Analysis. 8: 609-622. DOI: 10.4310/Maa.2001.V8.N4.A11 |
0.34 |
|
| 2000 |
Liu T. On Shock Wave Theory Taiwanese Journal of Mathematics. 4: 9-20. DOI: 10.11650/Twjm/1500407194 |
0.338 |
|
| 1999 |
Liu T, Yu S. Nonlinear Stability of Weak Detonation Waves¶for a Combustion Model Communications in Mathematical Physics. 204: 551-586. DOI: 10.1007/S002200050657 |
0.425 |
|
| 1999 |
Bressan A, Liu T, Yang T. L-1 stability estimates for n x n conservation laws Archive For Rational Mechanics and Analysis. 149: 1-22. DOI: 10.1007/S002050050165 |
0.372 |
|
| 1999 |
Liu T, Zeng Y. Compressible Navier–Stokes Equations with Zero Heat Conductivity Journal of Differential Equations. 153: 225-291. DOI: 10.1006/Jdeq.1998.3554 |
0.426 |
|
| 1999 |
Liu T, Yang T. Well‐posedness theory for hyperbolic conservation laws Communications On Pure and Applied Mathematics. 52: 1553-1586. DOI: 10.1002/(Sici)1097-0312(199912)52:12<1553::Aid-Cpa3>3.0.Co;2-S |
0.486 |
|
| 1999 |
Liu T, Yang T. A New Entropy Functional For A Scalar Conservation Law Communications On Pure and Applied Mathematics. 52: 1427-1442. DOI: 10.1002/(Sici)1097-0312(199911)52:11<1427::Aid-Cpa2>3.0.Co;2-R |
0.457 |
|
| 1999 |
Liu T, Yu S. Continuum Shock Profiles For Discrete Conservation Laws Ii: Stability Communications On Pure and Applied Mathematics. 52: 1047-1073. DOI: 10.1002/(Sici)1097-0312(199909)52:9<1047::Aid-Cpa1>3.0.Co;2-4 |
0.318 |
|
| 1999 |
Liu T, Yu S. Continuum shock profiles for discrete conservation laws I: Construction Communications On Pure and Applied Mathematics. 52: 85-127. DOI: 10.1002/(Sici)1097-0312(199901)52:1<85::Aid-Cpa4>3.0.Co;2-U |
0.361 |
|
| 1998 |
Liu T. Zero dissipation and stability of shocks Methods and Applications of Analysis. 5: 81-94. DOI: 10.4310/Maa.1998.V5.N1.A4 |
0.323 |
|
| 1998 |
Liu T, Matsumura A, Nishihara K. Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves Siam Journal On Mathematical Analysis. 29: 293-308. DOI: 10.1137/S0036141096306005 |
0.432 |
|
| 1998 |
Liu T, Wang W. The Pointwise Estimates of Diffusion Wave for the Navier–Stokes Systems in Odd Multi-Dimensions Communications in Mathematical Physics. 196: 145-173. DOI: 10.1007/S002200050418 |
0.459 |
|
| 1997 |
Liu T, Xin Z. Pointwise decay to contact discontinuities for systems of viscous conservation laws Asian Journal of Mathematics. 1: 34-84. DOI: 10.4310/Ajm.1997.V1.N1.A3 |
0.504 |
|
| 1997 |
Liu T, Xin Z, Yang T. Vacuum states for compressible flow Discrete and Continuous Dynamical Systems. 4: 1-32. DOI: 10.3934/Dcds.1998.4.1 |
0.619 |
|
| 1997 |
Liu T, Yu S. Propagation of a Stationary Shock Layer in the Presence of a Boundary Archive For Rational Mechanics and Analysis. 139: 57-82. DOI: 10.1007/S002050050047 |
0.379 |
|
| 1997 |
Liu T, Yang T. Compressible Euler Equations with Vacuum Journal of Differential Equations. 140: 223-237. DOI: 10.1006/Jdeq.1997.3281 |
0.416 |
|
| 1997 |
Liu T. Pointwise convergence to shock waves for viscous conservation laws Communications On Pure and Applied Mathematics. 50: 1113-1182. DOI: 10.1002/(Sici)1097-0312(199711)50:11<1113::Aid-Cpa3>3.0.Co;2-D |
0.429 |
|
| 1996 |
Li D, Liu T, Tan D. Stability of Strong Detonation Travelling Waves to Combustion Model Journal of Mathematical Analysis and Applications. 201: 516-531. DOI: 10.1006/Jmaa.1996.0271 |
0.356 |
|
| 1995 |
Liu TP, Zumbrun K. On nonlinear stability of general undercompressive viscous shock waves Communications in Mathematical Physics. 174: 319-345. DOI: 10.1007/Bf02099605 |
0.646 |
|
| 1995 |
Liu TP, Zumbrun K. Nonlinear stability of an undercompressive shock for complex Burgers equation Communications in Mathematical Physics. 168: 163-186. DOI: 10.1007/Bf02099587 |
0.654 |
|
| 1994 |
Chen G, Levermore CD, Liu T. Hyperbolic conservation laws with stiff relaxation terms and entropy Communications On Pure and Applied Mathematics. 47: 787-830. DOI: 10.1002/Cpa.3160470602 |
0.362 |
|
| 1993 |
Floch PL, Liu T. Existence theory for nonlinear hyperbolic systems in nonconservative form Forum Mathematicum. 5: 261-280. DOI: 10.1515/Form.1993.5.261 |
0.319 |
|
| 1993 |
Freistühler H, Liu T. Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscous conservation laws Communications in Mathematical Physics. 153: 147-158. DOI: 10.1007/Bf02099043 |
0.443 |
|
| 1993 |
Chen G, Liu T. Zero relaxation and dissipation limits for hyperbolic conservation laws Communications On Pure and Applied Mathematics. 46: 755-781. DOI: 10.1002/Cpa.3160460504 |
0.41 |
|
| 1992 |
Hsiao L, Liu T. Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping Communications in Mathematical Physics. 143: 599-605. DOI: 10.1007/Bf02099268 |
0.495 |
|
| 1991 |
Liu T, Zhang T. A scalar combustion model Archive For Rational Mechanics and Analysis. 114: 297-312. DOI: 10.1007/Bf00376136 |
0.43 |
|
| 1988 |
Liu T. Nonlinear waves for viscoelasticity with fading memory Journal of Differential Equations. 76: 26-46. DOI: 10.1016/0022-0396(88)90062-9 |
0.371 |
|
| 1988 |
Liu T, Xin ZP. Nonlinear stability of rarefaction waves for compressible Navier Stokes equations Communications in Mathematical Physics. 118: 451-465. DOI: 10.1007/Bf01466726 |
0.44 |
|
| 1988 |
Caflisch RE, Liu T. Stability of shock waves for the Broadwell equations Communications in Mathematical Physics. 114: 103-130. DOI: 10.1007/Bf01218291 |
0.473 |
|
| 1987 |
Liu T. Nonlinear resonance for quasilinear hyperbolic equation Journal of Mathematical Physics. 28: 2593-2602. DOI: 10.1063/1.527751 |
0.443 |
|
| 1987 |
Chern I-, Liu T. Convergence to diffusion waves of solutions for viscous conservation laws Communications in Mathematical Physics. 120: 525-527. DOI: 10.1007/Bf01212425 |
0.483 |
|
| 1987 |
Liu T. Hyperbolic conservation laws with relaxation Communications in Mathematical Physics. 108: 153-175. DOI: 10.1007/Bf01210707 |
0.434 |
|
| 1986 |
Liu T. Shock waves for compressible navier‐stokes equations are stable Communications On Pure and Applied Mathematics. 39: 565-594. DOI: 10.1002/Cpa.3160390502 |
0.423 |
|
| 1985 |
Liu T. Nonlinear stability of shock waves for viscous conservation laws Memoirs of the American Mathematical Society. 56: 0-0. DOI: 10.1090/Memo/0328 |
0.428 |
|
| 1985 |
Liu T, Wang C. On a nonstrictly hyperbolic system of conservation laws Journal of Differential Equations. 57: 1-14. DOI: 10.1016/0022-0396(85)90068-3 |
0.507 |
|
| 1984 |
Glaz HM, Liu TP. The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow Advances in Applied Mathematics. 5: 111-146. DOI: 10.1016/0196-8858(84)90006-X |
0.461 |
|
| 1983 |
Li C, Liu T. Asymptotic states for hyperbolic conservation laws with a moving source Advances in Applied Mathematics. 4: 353-379. DOI: 10.1016/0196-8858(83)90015-5 |
0.481 |
|
| 1982 |
Liu T. Resonance for quasilinear hyperbolic equation Bulletin of the American Mathematical Society. 6: 463-465. DOI: 10.1090/S0273-0979-1982-15018-2 |
0.301 |
|
| 1982 |
Liu T. Transonic gas flow in a duct of varying area Archive For Rational Mechanics and Analysis. 80: 1-18. DOI: 10.1007/Bf00251521 |
0.465 |
|
| 1979 |
Liu T. Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations Journal of Differential Equations. 33: 92-111. DOI: 10.1016/0022-0396(79)90082-2 |
0.428 |
|
| 1977 |
Liu T. Initial-boundary value problems for gas dynamics Archive For Rational Mechanics and Analysis. 64: 137-168. DOI: 10.1007/Bf00280095 |
0.304 |
|
| 1977 |
Liu T. Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws Communications On Pure and Applied Mathematics. 30: 767-796. DOI: 10.1002/Cpa.3160300605 |
0.416 |
|
| 1977 |
Liu T. Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws Communications On Pure and Applied Mathematics. 30: 585-610. DOI: 10.1002/Cpa.3160300505 |
0.45 |
|
| 1976 |
Liu T. The entropy condition and the admissibility of shocks Journal of Mathematical Analysis and Applications. 53: 78-88. DOI: 10.1016/0022-247X(76)90146-3 |
0.441 |
|
| 1976 |
Liu T. Uniqueness of weak solutions of the Cauchy problem for general 2 × 2 conservation laws Journal of Differential Equations. 20: 369-388. DOI: 10.1016/0022-0396(76)90114-5 |
0.537 |
|
| 1976 |
Liu T. Shock waves in the nonisentropic gas flow Journal of Differential Equations. 22: 442-452. DOI: 10.1016/0022-0396(76)90039-5 |
0.472 |
|
| 1975 |
Liu T. The Riemann problem for general systems of conservation laws Journal of Differential Equations. 18: 218-234. DOI: 10.1016/0022-0396(75)90091-1 |
0.456 |
|
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