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  1. Scholars Hub of the Academia Sinica
Academia Sinica / Division of Mathematics and Physical Sciences / Institute of Mathematics

Liu, Tai-Ping

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  • 134 liu, tai-ping
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  • 35 2000 - 2025
  • 99 1923 - 1999

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  • 134 期刊論文/journal paper
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Results 1-135 of 135 (Search time: 0.001 seconds).

Issue DateTitleAuthor(s)RelationscopusWOSFulltext/Archive link
12020Zero-memory limit for a viscoelasticity model with Riemann dataTai-Ping Liu ; S. CoxPreprint
22019Boltzmann collision operator for the infinite range potential: A limit problemJiang, Jin-Cheng; Liu, Tai-Ping Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36(6), 1639-1677
32018Multi-dimensional Wave Propagation Over a Burgers Shock ProfileLiu, Tai-Ping ; Yu, Shih-HsienArchive for Rational Mechanics and Analysis 229, 231-337
42017Letter to the editors in chiefLiu, Tai-Ping ; Yu, Shih-HsienKinetic & Related Models 11(1), 215-217
52012Dirichlet-Neumann kernel for hyperbolic-dissipative system in half-spaceLiu, Tai-Ping ; Yu, Shih-HsienBulletin of the Institute of Mathematics Academia Sinica 7(4), 477-543
62011Multi-dimensional gas flow: some historical perspectivesLiu, Tai-Ping Bull. Inst. Math. Acad. Sin. (N.S.) 6(3), 269-291
72011Solving Boltzmann Equation, Part I: Green's FunctionLiu, Tai-Ping ; Yu, Shih-HsienBull. Inst. Math. Acad. Sinica (N.S.) 6(2), 115-243
82011On boundary relation for some dissipative systemsLiu, Tai-Ping ; Yu, S. -H.Bull. Inst. Math. Acad. Sin. (N.S.) 6(3), 245-267
92010Mixture lemmaKuo, Hung-Wen; Liu, Tai-Ping ; Noh, Se EunBulletin, Inst. Math., Academia Sinica (N.S.) 5(1), 1-10
102010Viscous rarefaction wavesLiu, Tai-Ping ; Yu, S. -H.Bulletin of the Institute of Mathematics Academia Sinica (New Series) 5(2), 123-179
112010Viscous Conservation Laws, Part I: Scalar LawsLiu, Tai-Ping ; Yu, S. -H.; Zeng, Y.Bulletin of the Institute of Mathematics Academia Sinica (New Series) 5(3), 233-310
122009On Green's function for hyperbolic-parabolic systemsLiu, Tai-Ping ; Zeng, YanniActa Math. Sci. Ser. B Engl. Ed. 29(6), 1556-1572
132009Time-asymptotic behavior of wave propagation around a viscous shock profile.Liu, Tai-Ping ; Zeng, Y.COMMUNICATIONS IN MATHEMATICAL PHYSICS 290(1), 23-82
142009Viscous shock wave tracing, local conservation laws, and pointwise estimatesLiu, Tai-Ping ; Yu, S. -HBulletin of the Institute of Mathematics, Academia Sinica (New Series) 4(3), 167-210
152009Boltzmann equation, boundary effectsLiu, Tai-Ping ; Yu, S. -H.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-A 24(1), 145-157
162008Supersonic flow onto a solid wedge.Elling, Volker; Liu, Tai-Ping COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 61(10), 1347-1448
172008Diffusion under gravitational and boundary effects.Liu, Tai-Ping ; Yu, Shih-HsienBulletin, Inst. Math., Academia Sinica (N.S.) 3(1), 167-210
182007Initial-boundary value problem for one-dimensional wave solutions of the Boltzmann equation.Liu, Tai-Ping ; Yu, Shih-HsienCOMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 60(3), 295-356
192007Thermal transpiration for the linearized Boltzmann equation.Chen, Chiun-Chuan; Chen, I-Kun; Liu, Tai-Ping ; Sone, YoshioCOMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 60(2), 147-163
202007Large-time behavior of solutions for the Boltzmann equation with hard potentials.Lee, Ming-Yi; Liu, Tai-Ping ; Yu, Shih-HsienCOMMUNICATIONS IN MATHEMATICAL PHYSICS 269(1), 17-37
212006Nonlinear stability of rarefaction waves for the Boltzmann equationLiu, Tai-Ping ; Yang, T.; Yu, S. -H.; Zhao, H. -J.Arch. Rational Mech. Anal. 181(2), 333-371
222006Green's Function of Boltzmann Equation, 3-D WavesLiu, Tai-Ping ; Yu, S. -H.Bull. Inst. Math. Acad. Sin. (N.S.) 1(1), 1-78
232005The ellipticity principle for self-similar potential flows.Elling, V.; Liu, Tai-Ping Journal of Hyperbolic Differential Equations 2(4), 909-917
242004Boltzmann equation: micro-macro decompositions and positivity of shock profilesLiu, Tai-Ping ; Yu, Shih-HsienCOMMUNICATIONS IN MATHEMATICAL PHYSICS 246(1), 133-179
252004Energy method for Boltzmann equationLiu, Tai-Ping ; Yang, Tong; Yu, Shih-HsienPhys. D 188(3-4), 178-192
262004The Green's function and large‐time behavior of solutions for the one‐dimensional Boltzmann equationLiu, Tai-Ping ; Yu, Shih-HsienCOMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 57(12), 1543-1608
272004Propagation of viscous shock waves away from the boundaryLan, Chiu-Ya; Lin, Huey-Er; Liu, Tai-Ping ; Yu, Shih-HsienSIAM J. Math. Anal. 36(2), 580-617
282004Existence of boundary layer solutions to the Boltzmann equationChen, C. -C.; Liu, Tai-Ping ; Yang, T.Analysis and Applications 2(4), 337-363
292003Entropy production and admissibility of shocksLiu, Tai-Ping ; Ruggeri, T.Acta Mathematicae Applicatae Sinica 19(1), 1-12
302002Weak Solutions to General Systems of Hyperbolic Conservation Laws.Liu, Tai-Ping ; Yang, T.COMMUNICATIONS IN MATHEMATICAL PHYSICS 230(2), 289-327
312002Solutions of Euler-Poisson Equations for Gaseous StarsDeng, Yinbin; Liu, Tai-Ping ; Yang, Tong; Yao, Zheng-anArchive for Rational Mechanics and Analysis 164(3), 261-285
322002Shock wavesLiu, Tai-Ping Proceedings of the International Congress of Mathematicians (Beijing, 2002 (Higher Ed. Press Beijing)) 3, 185-188
332001Some nonlinear functionals for scalar conservation laws.Liu, Tai-Ping ; Yang, T.; Zheng, Y.Methods Appl. Anal. 8(4), 609-622
342000Hyperbolic and Viscous Conservation LawsLiu, Tai-Ping CBMS-NSF Regional Conference Series in Applied Mathematics 72 (Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA)
352000Hyperbolic conservation laws and dynamic systemsLiu, Tai-Ping ; Yu, S. H.Discrete & Continuous Dynamical Systems-A 6(1), 143-145
361999Continuum shock profiles for discrete conservation laws II: StabilityLiu, Tai-Ping ; Yu, S. -H.Comm. Pure Appl. Math. 52(2), 1047-1073
371999Nonlinear stability of weak detonation waves for a combustion modelLiu, Tai-Ping ; Yu, S. -H.Comm. Math. Phys. 204(3), 551-586
381999Nonlinear stability of a self-similar 3-dimensional gas flowLiu, Tai-Ping ; Lien, W. -C.Comm. Math. Phys. 204(3), 525-549
391999Compressible Navier-Stokes equations with zero heat conductivityLiu, Tai-Ping ; Zeng, Y.Journal of Differential Equations 153(2), 225-291
401999Continuum shock profiles for discrete conservation laws I: ConstructionLiu, Tai-Ping ; Yu, S. -H.Comm. Pure Appl. Math. 52(1), 85-127
411999L1 stability of conservation laws with coinciding Hugoniot and characteristic curvesLiu, Tai-Ping ; Yang, T.Indiana Univ. Math. J. 48(1), 237-248
421999Well‐posedness theory for hyperbolic conservation lawsLiu, Tai-Ping ; Yang, T.Comm. Pure Appl. Math. 52(12), 1553-1586
431999A new entropy functional for a scalar conservation lawLiu, Tai-Ping ; Yang, T.Comm. Pure Appl. Math. 52(11), 1427-1442
441998The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd dimensionsLiu, Tai-Ping ; Wang, W.Comm. Math. Phys. 196(1), 145-173
451998L<sub>1</sub> stability for systems of hyperbolic conservation lawsLiu, Tai-Ping ; Yang, TongNonlinear partial differential equations (Evanston IL)(Contemp. Math. 238, Amer. Math. Soc., Providence RI 1999.), 183-192
461998Vacuum states for compressible flowLiu, Tai-Ping ; Xin, Z.; Yang, T.Disc. Cont. Dyn. Ana. 4(1), 1-32
471998Well-posedness theory for system of hyperbolic conservation laws.Liu, Tai-Ping ; Yang, TongHyperbolic Problems: Theory, Numerics, Applications (Seventh International Conference in Zürich, February 1998 Volume II) , 681-691
481998Behaviours of solutions for the Burgers equation with boundary corresponding to rarefaction wavesLiu, Tai-Ping ; Matsumura, A.; Nishihara, K.SIAM J. Math. Anal. 29(2), 293-308
491998L1 stability estimates for nxn conservatiob lawsBressan, A.; Liu, Tai-Ping ; Yang, T.Archive Rational Mech. Anal. 149(1), 1-22
501998L1 Stability for 2 x 2 Systems of Hyperbolic Conservation LawsLiu, Tai-Ping ; Yang, T.Journal of the American Mathematical Society 12(3), 729-772
511998Zero dissipation and stability of shock wavesLiu, Tai-Ping Methods and Appl. Analysis 5(1), 81-94
521997Pointwise convergence to shock waves for viscous conservaton lawsLiu, Tai-Ping Comm. Pure Appl. Math. 50(11), 1113-1182
531997Compressible Euler equations with vacuumLiu, Tai-Ping ; Yang, T.Journal of Differential Equations 140(2), 223-237
541997Propagation of Burgers stationary shocks under boundary effectLiu, Tai-Ping ; Yu, S.Archive Rational Mech. Anal. 139(1), 57-82
551997Asymptotic behaviour for scalar viscous conservation law with boundary effectLiu, Tai-Ping ; Nishihara, K.Journal of Differential Equations 133(2), 296-320
561997Regularization of solution operators for quasilinear hyperbolic-parabolic partial differential equationsLiu, Tai-Ping J. Partial Differential Equations 10(4), 347-354
571997Pointwise decay to contact discontinuities for systems of viscous conservation lawsLiu, Tai-Ping ; Xin, Z.Asian J. Math. 1(1), 34-84
581997Uniform L1 boundedness of solutions of hyperbolic conservation lawsLiu, Tai-Ping ; Yang, T.Methods and Appl. Analysis 4(3), 339-355
591997Large time behavior of solutions of general quasilinear hyperbolic-parabolic systems of conservation lawsLiu, Tai-Ping ; Zeng, Y.Memoirs, Amer. Math. Soc. (No.599)
601996Stability of strong detonation travelling waves to combustion modelLi, Dening; Liu, Tai-Ping ; Tan, DechunJ. Math. Anal. Appl. 201(2), 516-531
611996Compressible flows with damping and vacuumLiu, Tai-Ping Japan Journal of Industrial and Applied Mathematics 13(1), 25
621996Stability and viscosity criterion of shocks.Liu, Tai-Ping Proceedings of the VIII International Conference on Waves and Stability in Continuous Media Part I (Palermo 1995). Rend. Circ. Mat. Palermo (2) Suppl. part I (No. 45), 357-366
631996Recent mathematical methods in nonlinear wave propagation(Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held in Montecatini Terme, Italy, May 23-31, 1994)Boillat, G.; Dafermos, C.M.; Lax, P.D.; Liu, Tai-Ping Berlin Heidelberg
641995On nonlinear stability of general undercompressive viscous shock wavesLiu, Tai-Ping ; Zumbrum, K.Comm. Math. Phys. 174(2), 319-345
651995Nonlinear stability of an undercompressive shock for complex Burgers equationZumbrun, K.; Liu, Tai-Ping Comm. Math. Physics 168(1), 163-186
661995Nonliner stability strong detonations for a combustion modelLiu, Tai-Ping ; Ying, L.SIAM J. of Math. Anal. 26(3), 519-528
671994Hyperbolic conservation laws with stiff relaxation terms and entropyChen, G. -Q.; Levermore, D.; Liu, Tai-Ping Communications on Pure and Applied Mathematics 47(6), 787-830
681994Nonlinear hyperbolic-dissipative partial differential equationsLiu, Tai-Ping Recent mathematical methods in nonlinear wave propagation (Montecatini Terme, Italy, May 23–31, 1994)(Lecture Notes in Math. Volume 1640, Springer Berlin 1996), 103-136
691993Nonlinear waves for viscous conservation lawsLiu, Tai-Ping International Conference on Nonlinear Evolutionary Partial Differential Equations(Beijing), 65-74
701993Nonlinear evolutionary partial differential equationsLiu, Tai-Ping Proceedings of the International Conference held in Beijing  
711993Zero relaxation and dissipation limits for hyperbolic conservation lawsChen, Gui-Qiang; Liu, Tai-Ping Comm. Pure Appl. Math. 46(5), 755-781
721993Nonlinear diffusive phenomena of nonlinear hyperbolic systemsLiu, Tai-Ping ; Hsiao, LingChinese Annals of Mathematics Series B 14(4), 465-480
731993Existence theory for nonlinear hyperbolic systems in nonconservative formLe Floch, P.; Liu, Tai-Ping Forum Math. 5, 261-280
741993Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscious conservation lawsFreistühler, H.; Liu, Tai-Ping Comm. Math. Physics 153(1), 147-158
751992Stability of viscous shock waves associated with a system of nonstrictly hyperbolic conservations lawsLiu, Tai-Ping ; Xin, Z.Communications on Pure and Applied Mathematics 45(4), 361-388
761992Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with dampingHsiao, Ling; Liu, Tai-Ping Comm. Math. Phys. 143(3), 599-605
771991A scalar combustion modelLiu, Tai-Ping ; Zheng, T.Arch. Rational Mech. Anal. 114(4), 297-312
781991Nonlinear hyperbolic-parabolic p.d.e.Liu, Tai-Ping Nonlinear Analysis; Academia Sinica; R.O.C.; World Scientific 161-170
791991Interaction of nonlinear hyperbolic wavesLiu, Tai-Ping 1989 Conference on nonlinear analysis. Academia Sinica. Taipei. R.O.C. (World Scientific), 171-184
801991Viscosity criterion for hyperbolic conservation lawsLiu, Tai-Ping Proc. SIAM. Ed. M. Shearer  
811991Local uniqueness of interior layer solution and its related stability propertyHsu, Sze-Bi; Liu, Tai-Ping 1989 Conference on nonlinear analysis. Academia Sinica. Taipei. R.O.C. (World Scientific), 51-60
821990Nonlinear singular Sturm-Liouville problem and application to transonic flow through a nozzleHsu, Sze-Bi; Liu, Tai-Ping Comm. Pure Appl. Math. 43(1), 31-61
831990Overcompressive shock wavesLiu, Tai-Ping ; Xin, Z.Nonlinear Evolution Equations That Change Type (The IMA Volumes in Mathematics and its Applications 27), 139-145
841990On the viscosity criterion for hyperbolic conservation lawsLiu, Tai-Ping Viscous profiles and numerical methods for shock waves (Proceedings of a workshop at North Carolina State University, Raleigh, North Carolina, May 23-25, 1990), 105-114
851989Nonlinear hyperbolic wavesLiu, Tai-Ping Nonlinear hyperbolic equations in applied sciences, Rend. Sem. Mat. Univ. Politec. Torino 1988, Special Issue, 269-277
861989Geometric theory of shock waves. Multidimensional hyperbolic problems and computationsLiu, Tai-Ping (Minneapolis, MN), 198-202
871989Nonlinear analysisLiu, Tai-Ping Papers from the conference held in Taipei  
881989The Inviscid Limit for the Navier–Stokes Equations of Compressible, Isentropic Flow with Shock DataHoff, David; Liu, Tai-Ping Indiana University Mathematics Journal 38(4), 861-915
891988Nonlinear waves for viscoelasticity with fading memoryLiu, Tai-Ping J. Diff. Equ. 76(1), 26-46
901988Nonlinear stability of rarefaction waves for compressible Navier Stokes equationsLiu, Tai-Ping ; Xin, Z.Comm. Math. Phys. 118(3), 451-465
911988Stability of shock waves for the Broadwell equationsCaflisch, Russel E.; Liu, Tai-Ping Communications in Mathematical Physics 114(1), 103-130
921988Quasilinear hyperbolic-parabolic partial differential equationsLiu, Tai-Ping Algebra analysis and geometry(Taipei), 185-197
931987Pointwise convergence to $N$-waves for hyperbolic conservation lawsLiu, Tai-Ping Bulletin Inst. Math. Academia Sinica 15(1), 1-17
941987Nonlinear resonance for quasilinear hyperbolic equationLiu, Tai-Ping J. Math. Phys. 28(11), 2593-2602
951987Convergence to diffusion waves of solutions for viscous conservation lawsChern, I-L.; Liu, Tai-Ping Comm. Math. Phys. 110(3), 503-517
961987Hyperbolic conservation laws and related topicsLiu, Tai-Ping Partial differential equations of hyperbolic type and applications(World Scientific Publishing, Singapore), 113-139
971987Hyperbolic conservation laws with relaxationLiu, Tai-Ping Comm. Math. Phys. 108(1), 153-175
981986Shock waves for compressible Navier-Stokes equations are stableLiu, Tai-Ping Comm. Pure Appl. Math. 39(5), 565-594
991986A conservative, piecewise-steady difference scheme for transonic nozzle flowHuang, Luping; Liu, Tai-Ping Computers & Mathematics with Applications 12(4-5, Part A), 377-388
1001986Shock waves and diffusion wavesLiu, Tai-Ping Nonlinear systems of partial differential equations in applied mathematics, Part 1(Lectures in Applied Mathematics 23), 283-291
1011985On a nonstrictly hyperbolic system of conservation lawsLiu, Tai-Ping ; Wang, C. H.Journal of Differential Equations 57(1), 1-14
1021985Stability of nonlinear wavesLiu, Tai-Ping Metastability and incompletely posed problems (IMA, volume 3), 259-267
1031985Nonlinear stability of shock waves for viscous conservation lawsLiu, Tai-Ping Bulletin (New Series) of the American Mathematical Society 12(2), 233-236
1041985Nonlinear stability of shock waves for viscous conservation lawsLiu, Tai-Ping Memoirs of the American Mathematical Society 56, 328
1051984The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flowGlaz, Harland M; Liu, Tai-Ping Advances Appl. Math. 5(2), 111-146
1061984Source-solutions and asymptotic behavior in conservation lawLiu, Tai-Ping ; Pierre, M.Journal of Differential Equations 51(3), 419-441
1071983Asymptotic states for hyperbolic conservation laws with a moving sourceLi, Cai-Zhong; Liu, Tai-Ping Advances in Appl. Math. 4(4), 353-379
1081982Riemann problems for reacting gas with applications to transitionsTeng, Zhen-Huan; Chorin, Alexandre Joel; Liu, Tai-Ping SIAM J. Appl. Math. 42(5), 964-981
1091982Transonic gas flow in a duct of varying areaLiu, Tai-Ping Arch. Rat. Mech. and Anal. 80(1), 1-18
1101982Nonlinear stability and instability of transonic flows through a nozzleLiu, Tai-Ping Comm. Math. Phys. 83(2), 243-260
1111982Resonance for quasilinear hyperbolic equationLiu, Tai-Ping Bulletin Amer. Math. Soc. 6, 463-465
1121981Admissible solutions of hyperbolic conservation lawsLiu, Tai-Ping Memoirs, Amer. Math. Soc. 240
1131981Admissibility criteria for hyperbolic conservation laws.Conlon, Joseph G.; Liu, Tai-Ping Indiana Univ. Math. J. 30(5), 641-652
1141980On the vacuum state for isentropic gas dynamics equationsLiu, Tai-Ping ; Smoller, J.Advances in Math. 1(4), 345-359
1151980Le problème du vide pour les équations de la dynamique des gaz isentropiques. (French)(The problem of the vacuum for equations in isentropic gas dynamics)Liu, Tai-Ping ; Smoller, J.Nonlinear partial differential equations and their applications, Colledge de France Seminar(Paris) 2(395), 319-326
1161979Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equationsLiu, Tai-Ping J. Diff. Equations 33(1), 92-111
1171979Quasilinear hyperbolic systemsLiu, Tai-Ping Comm. Math. Phys. 68(2), 141-172
1181979Traveling waves in hyperelastic rodsAntman, S.; Liu, Tai-Ping Quarterly of Appl. Math. 36, 377-399
1191979A system of quasilinear hyperbolic partial differential equations.Liu, Tai-Ping Trends in applications of pure mathematics to mechanics(Edinburgh) 3, 179-189
1201978The free piston problem for gas dynamicsLiu, Tai-Ping J. of Diff. Equations 30(2), 175-191
1211978Invariants and asymptotic behavior of solution of a conservation lawLiu, Tai-Ping Proceedings of the American Mathematical Society 71(2), 227-231
1221978Asymptotic behavior of solutions of general systems of nonlinear hyperbolic conservation lawsLiu, Tai-Ping Indiana Univ. J. 27(2), 211-253
1231977Linear and nonlinear large-time behaviors of solutions of hyperbolic conservation lawsLiu, Tai-Ping Comm. Pure Appl. Math. 30(6), 767-796
1241977Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation lawsLiu, Tai-Ping Comm. Pure Appl. Math. 30(5), 586-611
1251977Initial-boundary value problems for gas dynamicsLiu, Tai-Ping Archive for Rational Mechanics and Analysis 64(2), 137-168
1261977Large-time behavior of solutions of initial and initial-boundary value problem of general system of hyperbolic conservation lawsLiu, Tai-Ping Comm. Math. Phys. 55(2), 163-177
1271977The deterministic version of the Glimm schemeLiu, Tai-Ping Comm. Math. Phys. 57(2), 135-148
1281977Solutions in the large for equations of nonisentropic gas dynamicsLiu, Tai-Ping Indiana University Mathematics Journal 26(1), 144-177
1291976Shock waves in nonisentropic gas flowLiu, Tai-Ping J. Diff. Equations 22(2), 442-452
1301976Uniqueness of weak solutions of the Cauchy problem for general 2 × 2 conservation lawsLiu, Tai-Ping Journal of Differential Equations 20(2), 369-388
1311976The entropy condition and the admissibility of shocksLiu, Tai-Ping J. of Math. Anal. and Applications 53(1), 78-88
1321975Existence and uniqueness theorems for Riemann problemsLiu, Tai-Ping Transactions of the American Mathematical Society 212, 375-382
1331975The Riemann Problem for general systems of conservation lawsLiu, Tai-Ping J. Diff. Equations 18(1), 218-234
1341974The Riemann problem for general 2 X 2 conservation LawsLiu, Tai-Ping Transactions of A.M.S. 199, 89-112
135-Zero-memory limit for a viscoelasticity model with Riemann dataLiu, Tai-Ping ; Cox, S.(preprint) 

 

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