國立中央大學教師履歷平台

期刊著作

• GLOBAL CLASSICAL SOLUTIONS FOR NONISENTROPIC GAS IN NOZZLE FLOWS
  SIAM Journal on Mathematical Analysis, 57, 2, 1990-2012, 2025-01-01
  [ classical solutions,full Euler equations,generalized Lax transformations,nonisentropic gas,Riccati equations,uniform a priori estimates ]

• Global existence of classical solutions for the gas flows near vacuum through ducts expanding with space and time
  Journal of Mathematical Analysis and Applications, 527, 1, 2023-11-01
  [ Classical solutions,Compressible Euler equations,Initial-boundary value problems,Near vacuum,Riccati equations,Riemann invariants ]

• Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts
  Research in Mathematical Sciences, 10, 2, 2023-06-01
  [ Classical solutions,Compressible Euler equations,Divergent ducts,Hyperbolic systems of balance laws,Initial-boundary value problem,Isentropic supersonic flows,Vacuum ]

• GLOBAL ENTROPY SOLUTIONS AND ZERO RELAXATION LIMIT FOR GREENBERG-KLAR-RASCLE MULTILANE TRAFFIC FLOW MODEL
  SIAM Journal on Mathematical Analysis, 54, 6, 5949-5980, 2022-12-01
  [ balance laws with discontinuous source,contact discontinuity,Glimm scheme,marginally stable,multilane model,rarefaction wave,relaxation,scalar conservation law with discontinuous flux,shock wave,Temple system,zero relaxation limit ]

• L1 convergences and convergence rates of approximate solutions for compressible Euler equations near vacuum
  Research in Mathematical Sciences, 7, 2, 2020-06-01
  [ A priori estimate , Compressible Euler equations , Convergence rate , Hyperbolic systems of conservation laws , Method of characteristics , Regularized Riemann problem , Riemann invariants , Vacuum ]

• Approximation and existence of vacuum states in the multiscale flows of compressible Euler equations
  Multiscale Modeling and Simulation, 18, 1, 104-130, 2020-01-01
  [ Cauchy problem , Compressible Euler equations , Generalized Glimm scheme , Hyperbolic composite waves , Hyperbolic resonant systems , Hyperbolic systems of conservation laws , Regularized Riemann problem , Riemann problem , Vacuum ]

• Existence and instability of traveling pulses of Keller-Segel system with nonlinear chemical gradients and small diffusions
  Nonlinearity, 32, 1, 143-167, 2019-01-01
  [ geometric singular perturbation theory , Keller-Segle model , linear stability , spectral theory , traveling wave solution ]

• Global bounded variation solutions describing Fanno-Rayleigh fluid flows in nozzles
  Mathematical Models and Methods in Applied Sciences, 28, 6, 2018-06-15
  [ boundary Riemann problem , compressible Euler equations , entropy solutions , Fanno-Rayleigh flows , generalized Glimm scheme , initial-boundary value problem , Riemann problem , transonic flow ]

• Approximation of generalized riemann solutions to compressible euler-poisson equations of isothermal flows in spherically symmetric space-times
  Tamkang Journal of Mathematics, 48, 1, 73-94, 2017-03-01
  [ Approximate generalized solutions , Compressible Euler-Poisson equations , Generalized Riemann problem , Initial-boundary value problem , Lax method , Linearized hyperbolic systems ]

• Well-posedness of the two-dimensional generalized Benjamin-bona-mahony equation on the upper half plane
  Discrete and Continuous Dynamical Systems - Series B, 21, 3, 763-779, 2016-05-01
  [ Benjamin-BonaMahony-Burgers equation , Buckley-Leverett equation , Generalized Benjamin-Bona-Mahony equation , Global wellposedness , Initial-boundary value problem ]

• Global transonic solutions of planetary atmospheres in a hydrodynamic region-hydrodynamic escape problem due to gravity and heat
  SIAM Journal on Mathematical Analysis, 48, 6, 4268-4310, 2016-01-01
  [ Generalized Glimm scheme , Generalized Riemann and boundary-Riemann problems , Hydrodynamic escape problem , Hydrodynamic region , Nonlinear hyperbolic systems of balance laws ]

• Characterization of the transonic stationary solutions of the hydrodynamic escape problem
  SIAM Journal on Applied Mathematics, 74, 6, 1709-1741, 2014-01-01
  [ Adiabatic wind solution , Conservation law , Geometric singular perturbation , Hydrodynamic escape problem ]

• Existence and large time stability of traveling wave solutions to nonlinear balance laws in traffic flows
  Communications in Mathematical Sciences, 11, 4, 1011-1037, 2013-08-22
  [ Conservation laws , Nonlinear balance laws , Relaxation , Stability , Traffic flow , Traveling waves , Weighted energy estimates ]

• An extension of Glimm's method to the gas dynamical model of transonic flows
  Nonlinearity, 26, 6, 1581-1597, 2013-06-01

• Geometric singular perturbation approach to the existence and instability of stationary waves for viscous traffic flow models
  Communications on Pure and Applied Analysis, 12, 3, 1501-1526, 2013-05-01
  [ Conservation laws , Geometric singular perturbations , Invariant manifold theory , Shock waves , Trafic flows ]

• Existence and uniqueness of lax-type solutions to the Riemann problem of scalar balance law with singular source term
  Taiwanese Journal of Mathematics, 17, 2, 431-464, 2013-03-27
  [ Characteristic method , Conservation laws , Lax's method , Nonlinear balance laws , Perturbed Riemann problems , Riemann problems ]

• Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area
  Journal of Differential Equations, 254, 4, 1957-1976, 2013-02-15
  [ Geometric singular perturbation theory , Sobolev's embedding theorem , Sub-to-super inviscid transonic stationary wave ]

• Existence and uniqueness of generalized stationary waves for viscous gas flow through a nozzle with discontinuous cross section
  Journal of Differential Equations, 253, 4, 1088-1110, 2012-08-15
  [ Compressible Euler equations , Discontinuous nozzle , Enthalpy , Entropy condition , Geometric singular perturbations , Helly's selection principle , Transonic steady-states , Viscous conservation laws ]

• The generalized Buckley-Leverett and the regularized Buckley-Leverett equations
  Journal of Mathematical Physics, 53, 5, 2012-05-07

• The initial-boundary value problem of hyperbolic integro-differential systems of nonlinear balance laws
  Nonlinear Analysis, Theory, Methods and Applications, 75, 15, 5933-5960, 2012-01-01
  [ Entropy solution , Generalized Glimm scheme , Hyperbolic integro-differential systems , Initial-boundary value problem , Modified Lax method , Nonlinear balance laws , p-systems , Perturbed boundary Riemann problem , Perturbed Riemann problem ]

• Viscous standing asymptotic states ofiIsentropic compressible flows through a nozzle
  Archive for Rational Mechanics and Analysis, 196, 2, 575-597, 2010-05-01

• Inviscid and viscous stationary waves of gas flow through contracting-expanding nozzles
  Journal of Differential Equations, 248, 1, 50-76, 2010-01-01
  [ Contracting-expanding nozzles , Gas flow , Sub-to-super transonic waves ]

• A new solution representation for the BBM equation in a quarter plane and the eventual periodicity
  Nonlinearity, 22, 8, 1927-1944, 2009-11-09

• Generalized Glimm scheme to the initial boundary value problem of hyperbolic systems of balance laws
  Nonlinear Analysis, Theory, Methods and Applications, 72, 2, 635-650, 2009-01-15
  [ Boundary Riemann problem , Generalized Glimm scheme , Hyperbolic systems of balance laws , Lax's method , Riemann problem ]

• Global solutions for initial-boundary value problem of quasilinear wave equations
  Journal of Differential Equations, 245, 1, 223-248, 2008-07-01
  [ Generalized Glimm's method , Hyperbolic systems of balance laws , Initial and boundary Riemann problem , Lax's method , Perturbed Riemann problem , Quasilinear wave equations ]

• Globally Lipschitz continuous solutions to a class of quasilinear wave equations
  Journal of Differential Equations, 236, 2, 504-531, 2007-05-15
  [ Cauchy problem , Generalized Glimm's method , Hyperbolic systems of balance laws , Lax's method , Perturbed Riemann problem , Quasilinear wave equations ]

• Invariant solutions of the equation of motion for a sphere composed of Blatz-Ko material
  Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an, 30, 4, 557-567, 2007-01-01
  [ Blatz-Ko material , Dynamic singularity , Invisible singularity , Nonlinear elasticity ]

• An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by "weaker than weak" solutions of the Riemann problem
  Journal of Differential Equations, 222, 2, 515-549, 2006-03-15

• A bound on the total variation of the conserved quantities for solutions of a general resonant nonlinear balance law
  SIAM Journal on Applied Mathematics, 64, 3, 819-857, 2004-07-28
  [ Balance laws , Glimm scheme , Resonance , Shock waves ]