## Hsiao, Ling

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 Author ID: hsiao.ling Published as: Hsiao, Ling; Hsiao, L.; Xiao, Ling more...less
 Documents Indexed: 110 Publications since 1973, including 2 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 41 Co-Authors with 91 Joint Publications 1,297 Co-Co-Authors
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### Co-Authors

 18 single-authored 15 Li, Hailiang 13 Wang, Shu 8 Pan, Ronghua 7 Hao, Chengchun 6 Luo, Tao 5 Chen, Li 5 Dafermos, Constantine M. 5 Li, Yong 4 Ju, Qiangchang 4 Li, Fucai 4 Zhang, Kaijun 3 Chang, Tung 3 de Mottoni, Piero 3 Gasser, Ingenuin 3 Serre, Denis 3 Yang, Tong 3 Yu, Hongjun 2 Greenberg, James M. 2 He, Cheng 2 Jian, Huai-Yu 2 Jiang, Song 2 Liu, Tai-Ping 2 Markowich, Peter Alexander 2 Wang, Baoxiang 2 Xin, Zhouping 1 Ding, Xia-xi 1 Fife, Paul C. 1 Guo, Xiulan 1 Li, Tatsien 1 Li, Tsai-chung 1 Li, Yujian 1 MacCamy, Richard C. 1 Marcati, Pierangelo 1 Mauser, Norbert Julius 1 Mei, Ming 1 Wang, Chinghua 1 Warnecke, Gerald G. 1 Xiao, Ling 1 Xing, Jiasheng 1 Zhang, Ping 1 Zhao, Huijiang 1 Zou, Chen
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### Serials

 15 Journal of Differential Equations 10 Quarterly of Applied Mathematics 9 Chinese Annals of Mathematics. Series B 7 Journal of Mathematical Analysis and Applications 5 Mathematical Methods in the Applied Sciences 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Partial Differential Equations 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Nonlinear Analysis. Theory, Methods & Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Mathematical Analysis 2 Acta Mathematica Scientia 2 Methods and Applications of Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Kexue Tongbao 1 Acta Mathematica Sinica. English Series 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 Scientia Sinica 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 AMS/IP Studies in Advanced Mathematics
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### Fields

 105 Partial differential equations (35-XX) 43 Fluid mechanics (76-XX) 33 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Optics, electromagnetic theory (78-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 1,622 times in 899 Documents Cited by Year
Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping. Zbl 0763.35058
Hsiao, Ling; Liu, Tai-Ping
1992
The Riemann problem and interaction of waves in gas dynamics. Zbl 0698.76078
Chang, Tung; Hsiao, Ling
1989
Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity. Zbl 0498.35015
Dafermos, C. M.; Hsiao, L.
1982
Hyperbolic systems of balance laws with inhomogeneity and dissipation. Zbl 0497.35058
Dafermos, C. M.; Hsiao, L.
1982
The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations. Zbl 0970.35150
Hsiao, Ling; Zhang, Kaijun
2000
Nonlinear diffusive phenomena of nonlinear hyperbolic systems. Zbl 0804.35072
Hsiao, Ling; Liu, Taiping
1993
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
2003
Quasilinear hyperbolic systems and dissipative mechanisms. Zbl 0911.35003
Hsiao, Ling
1997
Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors. Zbl 1045.35087
Gasser, Ingenuin; Hsiao, Ling; Li, Hailiang
2003
Development of singularities in solutions of the equations of nonlinear thermoelasticity. Zbl 0661.35009
Dafermos, C. M.; Hsiao, L.
1986
Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media. Zbl 0859.76067
Hsiao, Ling; Luo, Tao
1996
Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069
Hsiao, Ling; Serre, Denis
1996
Wellposedness for the fourth order nonlinear Schrödinger equations. Zbl 1091.35090
Hao, Chengchun; Hsiao, Ling; Wang, Baoxiang
2006
Initial boundary value problem for the system of compressible adiabatic flow through porous media. Zbl 0942.35138
Hsiao, Ling; Pan, Ronghua
1999
Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces. Zbl 1115.35122
Hao, Chengchun; Hsiao, Ling; Wang, Baoxiang
2007
The global weak solution and relaxation limits of the initial-boundary value problem to the bipolar hydrodynamic model for semiconductors. Zbl 1174.82350
Hsiao, Ling; Zhang, Kaijun
2000
The generation and propagation of internal layers. Zbl 0685.35055
Fife, Paul C.; Hsiao, Ling
1988
Adiabatic shearing of incompressible fluids with temperature-dependent viscosity. Zbl 0514.76029
Dafermos, C. M.; Hsiao, L.
1983
Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors. Zbl 0986.35110
Hsiao, Ling; Yang, Tong
2001
Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping. Zbl 0853.35069
Hsiao, Ling; Tang, S. Q.
1995
Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu
2002
The damped $$p$$-system with boundary effects. Zbl 0959.35111
Hsiao, Ling; Pan, Ronghua
2000
On the Cauchy problem of the Boltzmann and Landau equations with soft potentials. Zbl 1143.35085
Hsiao, Ling; Yu, Hongjun
2007
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
2000
Compressible Navier-Stokes-Poisson equations. Zbl 1240.35406
Hsiao, Ling; Li, Hailiang
2010
Asymptotic behavior of large weak entropy solutions of the damped $$p$$-system. Zbl 0891.35092
Serre, Denis; Xiao, Ling
1997
Large-time behaviour of solutions for the outer pressure problem of a viscous heat-conductive one-dimensional real gas. Zbl 0864.35085
Hsiao, Ling; Luo, Tao
1996
Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems. Zbl 0517.35057
Hsiao, Ling; Li, Ta-Tsien
1983
Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping. Zbl 0953.35094
Hsiao, Ling; Luo, Tao
1998
The global weak solution and relaxation limits of the initial-boundary value problem to the bipolar hydrodynamic model for semiconductors. Zbl 1061.82027
Hsiao, Ling; Zhang, Kaijun
2000
Large-time behavior of solutions to the equations of one-dimensional nonlinear thermoviscoelasticity. Zbl 0981.74011
Hsiao, L.; Luo, T.
1998
The Riemann problem for the system $$u_ t+\sigma _ x=0$$ and $$(\sigma - f(u))_ t+(\sigma -\mu f(u))=0$$. Zbl 0555.35083
Greenberg, J. M.; Hsiao, L.
1983
Global classical solutions to the initial value problem for the relativistic Landau equation. Zbl 1122.35146
Hsiao, Ling; Yu, Hongjun
2006
Quasineutral limit of a time-dependent drift-diffusion-Poisson model for p-n junction semiconductor devices. Zbl 1107.35016
Hsiao, Ling; Wang, Shu
2006
Nonlinear stability of rarefaction waves for a rate-type viscoelastic system. Zbl 0931.35090
Hsiao, Ling; Pan, Ronghua
1999
Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors. Zbl 1004.82018
Hsiao, Ling; Jiang, Song; Zhang, Ping
2002
Asymptotic behavior of global smooth solutions to the full 1D hydrodynamic model for semiconductors. Zbl 1174.82349
Hsiao, Ling; Wang, Shu
2002
Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions. Zbl 1152.81463
Hao, Chengchun; Hsiao, Ling; Li, Hai-Liang
2007
Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors. Zbl 1079.35020
Chen, Li; Hsiao, Ling; Li, Yong
2005
Global BV solutions of compressible Euler equations with spherical symmetry and damping. Zbl 0916.35090
Hsiao, Ling; Luo, Tao; Yang, Tong
1998
Nonlinear hyperbolic-parabolic coupled systems. Zbl 1072.35008
Hsiao, Ling; Jiang, Song
2004
The asymptotic behaviour of global smooth solutions to the multi-dimensional hydrodynamic model for semiconductors. Zbl 1027.35071
Hsiao, Ling; Ju, Qiangchang; Wang, Shu
2003
The solution of Lyumkis energy transport model in semiconductor science. Zbl 1049.76071
Chen, Li; Hsiao, Ling
2003
Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system. Zbl 0937.35099
Hsiao, Ling; Pan, Ronghua
1999
Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term. Zbl 1132.35476
Hao, Chengchun; Hsiao, Ling; Li, Hai-Liang
2008
The entropy rate admissibility criterion in gas dynamics. Zbl 0416.76036
Hsiao, L.
1980
Uniqueness of admissible solutions of the Riemann problem for a system of conservation laws of mixed type. Zbl 0725.35063
Hsiao, L.
1990
Cauchy problem for viscous rotating shallow water equations. Zbl 1179.35240
Hao, Chengchun; Hsiao, Ling; Li, Hai-Liang
2009
Persistence in reacting-diffusing systems: Interaction of two predators and one prey. Zbl 0631.92017
Hsiao, Ling; de Mottoni, Piero
1987
Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker-Planck system. Zbl 1144.35366
Hsiao, Ling; Li, Fucai; Wang, Shu
2008
Asymptotic stability of the relativistic Maxwellian. Zbl 1109.35115
Hsiao, Ling; Yu, Hongjun
2006
Shock reflection for the damped $$P$$-system. Zbl 1032.35134
Hsiao, Ling; Li, Hailiang
2002
Global smooth solutions to the spatially periodic Cauchy problem for dissipative nonlinear evolution equations. Zbl 0895.35052
Hsiao, Ling; Jian, Huaiyu
1997
Global existence and asymptotic behavior to the solutions of 1-D Lyumkis energy transport model for semiconductors. Zbl 1065.35061
Chen, Li; Hsiao, Ling; Li, Yong
2004
The asymptotic behavior of global smooth solutions to the hydrodynamic model for semiconductors with spherical symmetry. Zbl 1025.35028
Hsiao, Ling; Wang, Shu
2003
Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering. Zbl 0686.35073
Hsiao, L.; Marcati, P.
1988
Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022
Hsiao, Ling; Serre, Denis
1995
Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping. Zbl 0852.35095
Hsiao, Ling; Tang, S. Q.
1995
A study of the global solutions for quasi-linear hyperbolic systems of conservation laws. Zbl 0369.35045
Ding, Shia-shi; Chang, Tung; Wang, Ching-hua; Hsiao, Ling; Li, Tsai-chung
1973
Nonlinear stability of two-mode shock profiles for a rate-type viscoelastic system with relaxation. Zbl 0956.35083
Hsiao, Ling; Pan, Ronghua
1999
The linear stability of traveling wave solutions for a reacting flow model with source term. Zbl 1157.35424
Hsiao, Ling; Pan, Ronghua
2000
The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093
He, Cheng; Hsiao, Ling
2002
Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects. Zbl 1013.35050
Hsiao, Ling; Li, Hailiang; Mei, Ming
2001
The compressible non-isentropic bipolar Navier-Stokes-Poisson system in $$\mathbb R^3$$. Zbl 1265.35265
Hsiao, Ling; Li, Hailiang; Yang, Tong; Zou, Chen
2011
The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data. Zbl 1181.35171
Hsiao, Ling; Ju, Qiangchang; Li, Fucai
2009
Asymptotic behavior of solutions to the system of one-dimensional nonlinear thermoviscoelasticity. Zbl 0922.35087
Hsiao, Ling; Jian, Huaiyu
1998
Stability of traveling wave solutions for a rate-type viscoelastic system. Zbl 0929.35084
Hsiao, Ling; Luo, Tao
1998
Perturbation of the Riemann problem in gas dynamics. Zbl 0453.76069
Hsiao, L.; Chang, T.
1981
Asymptotic behaviour of global smooth solutions to the multidimensional hydrodynamic model for semiconductors. Zbl 1010.35071
Hsiao, Ling; Wang, Shu; Zhao, Huijiang
2002
The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors. Zbl 0980.35090
Hsiao, Ling; Wang, Shu
2001
The well-posedness and asymptotics of multi-dimensional quantum hydrodynamics. Zbl 1212.82023
Xiao, Ling; Li, Hailiang
2009
The zero relaxation behavior of piecewise smooth solutions to the reacting flow model in the presence of shocks. Zbl 1024.76059
Hsiao, Ling; Li, Hailiang; Pan, Ronghua
2000
Quasilinear hyperbolic systems with damping mechanism. Zbl 0977.35079
Hsiao, Ling
1999
Admissible weak solution for nonlinear system of conservation laws in mixed type. Zbl 0702.35154
Hsiao, L.
1989
Dissipation and dispersion approximation to hydrodynamical equations and asymptotic limit. Zbl 1174.35010
Hsiao, Ling; Li, Hailiang
2008
Quasi-neutral limit of the drift-diffusion model for semiconductors with general sign-changing doping profile. Zbl 1186.35016
Hsiao, Ling; Ju, Qiangchang; Wang, Shu
2008
Strong solution to a kind of cross diffusion parabolic system. Zbl 1083.35044
Chen, Li; Hsiao, Ling; Li, Yong
2003
The large time behavior of global solutions for a model equation for fluid flow in a pipe. Zbl 0739.76015
Hsiao, Ling
1991
Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations. Zbl 1124.35064
Hsiao, Ling; Li, Fu Cai; Wang, Shu
2007
Modified scattering for bipolar nonlinear Schrödinger-Poisson equations. Zbl 1149.35402
Hao, Chengchun; Hsiao, Ling; Li, Hailiang
2004
Large time behavior and global existence of solution to the bipolar defocusing nonlinear Schrödinger-Poisson system. Zbl 1067.35102
Hao, Chengchun; Hsiao, Ling
2004
Nonlinear diffusive phenomena of solutions for quasilinear hyperbolic systems. Zbl 0960.35061
Hsiao, Ling
1997
Qualitative behavior of global solutions to inhomogeneous quasilinear hyperbolic systems. Zbl 0819.35094
Hsiao, L.
1994
Initial boundary value problems for nonconvex hyperbolic conservation laws with relaxation. Zbl 1020.35053
Hsiao, Ling; Li, Hailiang
2000
On the asymptotic behavior of solutions of a reacting-diffusing system: A two predators-one prey model. Zbl 0697.35069
Hsiao, L.; Su, Y.; Xin, Z. P.
1987
Admissibility criteria and admissible weak solutions of Riemann problems for conservation laws of mixed type: A summary. Zbl 0718.76013
Hsiao, L.
1990
Construction and qualitative behavior of solutions for a model equation for fluid flow in a pipe. Zbl 0881.35074
Li, Yujian; Hsiao, Ling
1996
Nonlinear system of conservation laws with dissipation. Zbl 0874.35069
Hsiao, Ling
1995
The compressible non-isentropic bipolar Navier-Stokes-Poisson system in $$\mathbb R^3$$. Zbl 1265.35265
Hsiao, Ling; Li, Hailiang; Yang, Tong; Zou, Chen
2011
Compressible Navier-Stokes-Poisson equations. Zbl 1240.35406
Hsiao, Ling; Li, Hailiang
2010
Cauchy problem for viscous rotating shallow water equations. Zbl 1179.35240
Hao, Chengchun; Hsiao, Ling; Li, Hai-Liang
2009
The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data. Zbl 1181.35171
Hsiao, Ling; Ju, Qiangchang; Li, Fucai
2009
The well-posedness and asymptotics of multi-dimensional quantum hydrodynamics. Zbl 1212.82023
Xiao, Ling; Li, Hailiang
2009
Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term. Zbl 1132.35476
Hao, Chengchun; Hsiao, Ling; Li, Hai-Liang
2008
Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker-Planck system. Zbl 1144.35366
Hsiao, Ling; Li, Fucai; Wang, Shu
2008
Dissipation and dispersion approximation to hydrodynamical equations and asymptotic limit. Zbl 1174.35010
Hsiao, Ling; Li, Hailiang
2008
Quasi-neutral limit of the drift-diffusion model for semiconductors with general sign-changing doping profile. Zbl 1186.35016
Hsiao, Ling; Ju, Qiangchang; Wang, Shu
2008
Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces. Zbl 1115.35122
Hao, Chengchun; Hsiao, Ling; Wang, Baoxiang
2007
On the Cauchy problem of the Boltzmann and Landau equations with soft potentials. Zbl 1143.35085
Hsiao, Ling; Yu, Hongjun
2007
Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions. Zbl 1152.81463
Hao, Chengchun; Hsiao, Ling; Li, Hai-Liang
2007
Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations. Zbl 1124.35064
Hsiao, Ling; Li, Fu Cai; Wang, Shu
2007
Wellposedness for the fourth order nonlinear Schrödinger equations. Zbl 1091.35090
Hao, Chengchun; Hsiao, Ling; Wang, Baoxiang
2006
Global classical solutions to the initial value problem for the relativistic Landau equation. Zbl 1122.35146
Hsiao, Ling; Yu, Hongjun
2006
Quasineutral limit of a time-dependent drift-diffusion-Poisson model for p-n junction semiconductor devices. Zbl 1107.35016
Hsiao, Ling; Wang, Shu
2006
Asymptotic stability of the relativistic Maxwellian. Zbl 1109.35115
Hsiao, Ling; Yu, Hongjun
2006
Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors. Zbl 1079.35020
Chen, Li; Hsiao, Ling; Li, Yong
2005
Nonlinear hyperbolic-parabolic coupled systems. Zbl 1072.35008
Hsiao, Ling; Jiang, Song
2004
Global existence and asymptotic behavior to the solutions of 1-D Lyumkis energy transport model for semiconductors. Zbl 1065.35061
Chen, Li; Hsiao, Ling; Li, Yong
2004
Modified scattering for bipolar nonlinear Schrödinger-Poisson equations. Zbl 1149.35402
Hao, Chengchun; Hsiao, Ling; Li, Hailiang
2004
Large time behavior and global existence of solution to the bipolar defocusing nonlinear Schrödinger-Poisson system. Zbl 1067.35102
Hao, Chengchun; Hsiao, Ling
2004
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
2003
Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors. Zbl 1045.35087
Gasser, Ingenuin; Hsiao, Ling; Li, Hailiang
2003
The asymptotic behaviour of global smooth solutions to the multi-dimensional hydrodynamic model for semiconductors. Zbl 1027.35071
Hsiao, Ling; Ju, Qiangchang; Wang, Shu
2003
The solution of Lyumkis energy transport model in semiconductor science. Zbl 1049.76071
Chen, Li; Hsiao, Ling
2003
The asymptotic behavior of global smooth solutions to the hydrodynamic model for semiconductors with spherical symmetry. Zbl 1025.35028
Hsiao, Ling; Wang, Shu
2003
Strong solution to a kind of cross diffusion parabolic system. Zbl 1083.35044
Chen, Li; Hsiao, Ling; Li, Yong
2003
Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu
2002
Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors. Zbl 1004.82018
Hsiao, Ling; Jiang, Song; Zhang, Ping
2002
Asymptotic behavior of global smooth solutions to the full 1D hydrodynamic model for semiconductors. Zbl 1174.82349
Hsiao, Ling; Wang, Shu
2002
Shock reflection for the damped $$P$$-system. Zbl 1032.35134
Hsiao, Ling; Li, Hailiang
2002
The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093
He, Cheng; Hsiao, Ling
2002
Asymptotic behaviour of global smooth solutions to the multidimensional hydrodynamic model for semiconductors. Zbl 1010.35071
Hsiao, Ling; Wang, Shu; Zhao, Huijiang
2002
Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors. Zbl 0986.35110
Hsiao, Ling; Yang, Tong
2001
Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects. Zbl 1013.35050
Hsiao, Ling; Li, Hailiang; Mei, Ming
2001
The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors. Zbl 0980.35090
Hsiao, Ling; Wang, Shu
2001
The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations. Zbl 0970.35150
Hsiao, Ling; Zhang, Kaijun
2000
The global weak solution and relaxation limits of the initial-boundary value problem to the bipolar hydrodynamic model for semiconductors. Zbl 1174.82350
Hsiao, Ling; Zhang, Kaijun
2000
The damped $$p$$-system with boundary effects. Zbl 0959.35111
Hsiao, Ling; Pan, Ronghua
2000
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
2000
The global weak solution and relaxation limits of the initial-boundary value problem to the bipolar hydrodynamic model for semiconductors. Zbl 1061.82027
Hsiao, Ling; Zhang, Kaijun
2000
The linear stability of traveling wave solutions for a reacting flow model with source term. Zbl 1157.35424
Hsiao, Ling; Pan, Ronghua
2000
The zero relaxation behavior of piecewise smooth solutions to the reacting flow model in the presence of shocks. Zbl 1024.76059
Hsiao, Ling; Li, Hailiang; Pan, Ronghua
2000
Initial boundary value problems for nonconvex hyperbolic conservation laws with relaxation. Zbl 1020.35053
Hsiao, Ling; Li, Hailiang
2000
Initial boundary value problem for the system of compressible adiabatic flow through porous media. Zbl 0942.35138
Hsiao, Ling; Pan, Ronghua
1999
Nonlinear stability of rarefaction waves for a rate-type viscoelastic system. Zbl 0931.35090
Hsiao, Ling; Pan, Ronghua
1999
Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system. Zbl 0937.35099
Hsiao, Ling; Pan, Ronghua
1999
Nonlinear stability of two-mode shock profiles for a rate-type viscoelastic system with relaxation. Zbl 0956.35083
Hsiao, Ling; Pan, Ronghua
1999
Quasilinear hyperbolic systems with damping mechanism. Zbl 0977.35079
Hsiao, Ling
1999
Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping. Zbl 0953.35094
Hsiao, Ling; Luo, Tao
1998
Large-time behavior of solutions to the equations of one-dimensional nonlinear thermoviscoelasticity. Zbl 0981.74011
Hsiao, L.; Luo, T.
1998
Global BV solutions of compressible Euler equations with spherical symmetry and damping. Zbl 0916.35090
Hsiao, Ling; Luo, Tao; Yang, Tong
1998
Asymptotic behavior of solutions to the system of one-dimensional nonlinear thermoviscoelasticity. Zbl 0922.35087
Hsiao, Ling; Jian, Huaiyu
1998
Stability of traveling wave solutions for a rate-type viscoelastic system. Zbl 0929.35084
Hsiao, Ling; Luo, Tao
1998
Quasilinear hyperbolic systems and dissipative mechanisms. Zbl 0911.35003
Hsiao, Ling
1997
Asymptotic behavior of large weak entropy solutions of the damped $$p$$-system. Zbl 0891.35092
Serre, Denis; Xiao, Ling
1997
Global smooth solutions to the spatially periodic Cauchy problem for dissipative nonlinear evolution equations. Zbl 0895.35052
Hsiao, Ling; Jian, Huaiyu
1997
Nonlinear diffusive phenomena of solutions for quasilinear hyperbolic systems. Zbl 0960.35061
Hsiao, Ling
1997
Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media. Zbl 0859.76067
Hsiao, Ling; Luo, Tao
1996
Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069
Hsiao, Ling; Serre, Denis
1996
Large-time behaviour of solutions for the outer pressure problem of a viscous heat-conductive one-dimensional real gas. Zbl 0864.35085
Hsiao, Ling; Luo, Tao
1996
Construction and qualitative behavior of solutions for a model equation for fluid flow in a pipe. Zbl 0881.35074
Li, Yujian; Hsiao, Ling
1996
Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping. Zbl 0853.35069
Hsiao, Ling; Tang, S. Q.
1995
Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022
Hsiao, Ling; Serre, Denis
1995
Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping. Zbl 0852.35095
Hsiao, Ling; Tang, S. Q.
1995
Nonlinear system of conservation laws with dissipation. Zbl 0874.35069
Hsiao, Ling
1995
Qualitative behavior of global solutions to inhomogeneous quasilinear hyperbolic systems. Zbl 0819.35094
Hsiao, L.
1994
Nonlinear diffusive phenomena of nonlinear hyperbolic systems. Zbl 0804.35072
Hsiao, Ling; Liu, Taiping
1993
Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping. Zbl 0763.35058
Hsiao, Ling; Liu, Tai-Ping
1992
The large time behavior of global solutions for a model equation for fluid flow in a pipe. Zbl 0739.76015
Hsiao, Ling
1991
Uniqueness of admissible solutions of the Riemann problem for a system of conservation laws of mixed type. Zbl 0725.35063
Hsiao, L.
1990
Admissibility criteria and admissible weak solutions of Riemann problems for conservation laws of mixed type: A summary. Zbl 0718.76013
Hsiao, L.
1990
The Riemann problem and interaction of waves in gas dynamics. Zbl 0698.76078
Chang, Tung; Hsiao, Ling
1989
Admissible weak solution for nonlinear system of conservation laws in mixed type. Zbl 0702.35154
Hsiao, L.
1989
The generation and propagation of internal layers. Zbl 0685.35055
Fife, Paul C.; Hsiao, Ling
1988
Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering. Zbl 0686.35073
Hsiao, L.; Marcati, P.
1988
Persistence in reacting-diffusing systems: Interaction of two predators and one prey. Zbl 0631.92017
Hsiao, Ling; de Mottoni, Piero
1987
On the asymptotic behavior of solutions of a reacting-diffusing system: A two predators-one prey model. Zbl 0697.35069
Hsiao, L.; Su, Y.; Xin, Z. P.
1987
Development of singularities in solutions of the equations of nonlinear thermoelasticity. Zbl 0661.35009
Dafermos, C. M.; Hsiao, L.
1986
Adiabatic shearing of incompressible fluids with temperature-dependent viscosity. Zbl 0514.76029
Dafermos, C. M.; Hsiao, L.
1983
Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems. Zbl 0517.35057
Hsiao, Ling; Li, Ta-Tsien
1983
The Riemann problem for the system $$u_ t+\sigma _ x=0$$ and $$(\sigma - f(u))_ t+(\sigma -\mu f(u))=0$$. Zbl 0555.35083
Greenberg, J. M.; Hsiao, L.
1983
Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity. Zbl 0498.35015
Dafermos, C. M.; Hsiao, L.
1982
Hyperbolic systems of balance laws with inhomogeneity and dissipation. Zbl 0497.35058
Dafermos, C. M.; Hsiao, L.
1982
Perturbation of the Riemann problem in gas dynamics. Zbl 0453.76069
Hsiao, L.; Chang, T.
1981
The entropy rate admissibility criterion in gas dynamics. Zbl 0416.76036
Hsiao, L.
1980
A study of the global solutions for quasi-linear hyperbolic systems of conservation laws. Zbl 0369.35045
Ding, Shia-shi; Chang, Tung; Wang, Ching-hua; Hsiao, Ling; Li, Tsai-chung
1973
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### Cited by 810 Authors

 32 Li, Yeping 26 Zhu, Changjiang 23 Hsiao, Ling 22 Wang, Shu 21 Zhang, Kaijun 20 Yang, Tong 16 Shao, Zhiqiang 16 Zhao, Huijiang 15 Luo, Tao 15 Mei, Ming 15 Xu, Jiang 14 Huang, Feimin 13 Ducomet, Bernard 13 Tan, Zhong 13 Yu, Huimin 12 Jiang, Song 12 Qin, Yuming 12 Wang, Weike 12 Yu, Hongjun 11 Christoforou, Cleopatra C. 11 Duan, Renjun 11 Geng, Shifeng 11 Pan, Ronghua 10 Hong, John Meng-Kai 10 Li, Hailiang 10 Peng, Yuejun 9 Ju, Qiangchang 9 Jüngel, Ansgar 9 Ruan, Lizhi 8 Dafermos, Constantine M. 8 Marcati, Pierangelo 8 Naumkin, Pavel Ivanovich 8 Racke, Reinhard 7 Chen, Gui-Qiang G. 7 Hayashi, Nakao 7 Li, Jingyu 7 Liu, Cunming 7 Nečasová, Šárka 7 Tzavaras, Athanasios E. 7 Yang, Jianwei 7 Zhang, Yinghui 6 Charalambakis, Nicolas Ch. 6 Chen, Xinfu 6 Guo, Boling 6 Hattori, Harumi 6 Jiang, Mina 6 Kawashima, Shuichi 6 Kong, Dexing 6 Li, Fucai 6 Liu, Shuangqian 6 Nishihara, Kenji 6 Qu, Peng 6 Wang, Dehua 6 Wang, Yong 6 Wu, Zhigang 5 Amadori, Debora 5 Bessemoulin-Chatard, Marianne 5 Chen, Li 5 Corli, Andrea 5 D’Abbicco, Marcello 5 Dinh, Van Duong 5 Hu, Yuxi 5 Katsaounis, Theodoros 5 LeFloch, Philippe Gerard 5 Li, Yachun 5 Liao, Yongkai 5 Natalini, Roberto 5 Said-Houari, Belkacem 5 Strain, Robert M. 5 Su, Ying-Chin 5 Sun, Chunyou 5 Wang, Ya-Guang 5 Wang, Zhen 5 Wu, Guochun 5 Yao, Zhengan 5 Zajączkowski, Wojciech M. 5 Zeng, Huihui 5 Zhang, Jianlin 5 Zheng, Songmu 4 Chou, Shih-Wei 4 Cui, Haibo 4 Deng, Shijin 4 Duan, Ran 4 Fang, Daoyuan 4 Feng, Yuehong 4 Guerra, Graziano 4 Jangveladze, Temur A. 4 Kiguradze, Zurab V. 4 Li, Haitong 4 Liu, Chundi 4 Liu, Jianli 4 Liu, QingQing 4 Mai, La-Su 4 Mathis, Hélène 4 Nefedov, Nikolaĭ Nikolaevich 4 Nishibata, Shinya 4 Pan, Xinghong 4 Sobajima, Motohiro 4 Song, Xiaoya 4 Sprekels, Jürgen ...and 710 more Authors
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### Cited in 149 Serials

 156 Journal of Differential Equations 102 Journal of Mathematical Analysis and Applications 60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Archive for Rational Mechanics and Analysis 27 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 24 Mathematical Methods in the Applied Sciences 23 Nonlinear Analysis. Real World Applications 18 Journal of Mathematical Physics 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Journal of Hyperbolic Differential Equations 15 Applicable Analysis 15 Communications on Pure and Applied Analysis 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Communications in Partial Differential Equations 12 SIAM Journal on Mathematical Analysis 12 Discrete and Continuous Dynamical Systems. Series B 11 Discrete and Continuous Dynamical Systems 10 Acta Mathematicae Applicatae Sinica. English Series 9 Chinese Annals of Mathematics. Series B 9 Journal of Mathematical Fluid Mechanics 9 Acta Mathematica Scientia. Series B. (English Edition) 9 Nonlinear Analysis. Theory, Methods & Applications 8 Communications in Mathematical Physics 8 Applied Mathematics Letters 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Kinetic and Related Models 7 Applied Mathematics and Computation 7 Quarterly of Applied Mathematics 7 NoDEA. Nonlinear Differential Equations and Applications 7 Advances in Mathematical Physics 6 Transactions of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Science China. Mathematics 5 Acta Applicandae Mathematicae 5 Applications of Mathematics 5 Differential Equations 5 Boundary Value Problems 4 Journal of Computational Physics 4 Journal of Statistical Physics 4 Advances in Mathematics 4 Journal of Computational and Applied Mathematics 4 Journal of Functional Analysis 4 Physica D 4 Journal of Nonlinear Science 4 Acta Mathematica Sinica. English Series 4 Analysis and Applications (Singapore) 3 Computers & Mathematics with Applications 3 Rocky Mountain Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Asymptotic Analysis 3 Journal of Elasticity 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Journal of Applied Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Advances in Difference Equations 3 Communications in Mathematical Analysis 2 Nonlinearity 2 Wave Motion 2 Mathematics of Computation 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Ricerche di Matematica 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Numerical Mathematics 2 Computational Mechanics 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Archive of Applied Mechanics 2 Applied Mathematics. Series B (English Edition) 2 Calculus of Variations and Partial Differential Equations 2 Computational and Applied Mathematics 2 Abstract and Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Portugaliae Mathematica. Nova Série 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Evolution Equations and Control Theory 2 AIMS Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Journal of the Mechanics and Physics of Solids 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Calcolo 1 Computing 1 Czechoslovak Mathematical Journal 1 Hokkaido Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation ...and 49 more Serials
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### Cited in 33 Fields

 854 Partial differential equations (35-XX) 358 Fluid mechanics (76-XX) 114 Statistical mechanics, structure of matter (82-XX) 90 Mechanics of deformable solids (74-XX) 47 Numerical analysis (65-XX) 43 Classical thermodynamics, heat transfer (80-XX) 35 Optics, electromagnetic theory (78-XX) 25 Dynamical systems and ergodic theory (37-XX) 22 Biology and other natural sciences (92-XX) 13 Astronomy and astrophysics (85-XX) 12 Probability theory and stochastic processes (60-XX) 10 Integral equations (45-XX) 9 Ordinary differential equations (34-XX) 9 Quantum theory (81-XX) 9 Relativity and gravitational theory (83-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Systems theory; control (93-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 5 Potential theory (31-XX) 5 Operations research, mathematical programming (90-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)