Research Output 1987 2020

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2019

A remark on the two dimensional water wave problem with surface tension

Shao, S. & Shih, H-W., 2019 Apr 15, In : Journal of Differential Equations. 266, 9, p. 5748-5771 24 p.

Research output: Contribution to journalArticle

Water waves
Water Waves
Surface Tension
Surface tension
Air

CYCLIC ACTIONS ON RATIONAL RULED SYMPLECTIC FOUR-MANIFOLDS

Chiang, M-J. & Kessler, L., 2019 Jan 1, In : Transformation Groups.

Research output: Contribution to journalArticle

Four-manifolds
Circle Action
Hamiltonian Actions
Trivial
Restriction

Effect of abrupt change of the wall temperature in the kinetic theory

Kuo, H-W., 2019 Jan 1, In : Kinetic and Related Models. 12, 4, p. 765-789 25 p.

Research output: Contribution to journalArticle

Open Access
Kinetic theory
Kinetic Theory
Gases
Rarefied Gas
Temperature
1 Citation (Scopus)

Gamma factors and quadratic extension over finite fields

Nien, C., 2019 Jan 7, In : Manuscripta Mathematica. 158, 1-2, p. 31-54 24 p.

Research output: Contribution to journalArticle

Galois field

Geometric properties for level sets of quadratic functions

Nguyen, H. Q. & Sheu, R-L., 2019 Feb 15, In : Journal of Global Optimization. 73, 2, p. 349-369 21 p.

Research output: Contribution to journalArticle

Quadratic Function
Level Set
Intermediate value theorem
Control theory
Sensitivity analysis

Inverse transmission scattering problem via a Dirichlet-to-Neumann map

Lee, K-M., 2019 Apr 1, In : Engineering Analysis with Boundary Elements. 101, p. 214-220 7 p.

Research output: Contribution to journalArticle

Dirichlet-to-Neumann Map
Transmission Problem
Scattering Problems
Scattering
Inverse Scattering Problem

Minimum variance allocation among constrained intervals

Sun, H. M. & Sheu, R-L., 2019 May 15, In : Journal of Global Optimization. 74, 1, p. 21-44 24 p.

Research output: Contribution to journalArticle

Minimum Variance
Interval
Divisible
Uniform distribution
Efficient Algorithms

On decay rate of solutions for the stationary Navier–Stokes equation in an exterior domain

Kow, P. Z. & Lin, C-L., 2019 Mar 5, In : Journal of Differential Equations. 266, 6, p. 3279-3309 31 p.

Research output: Contribution to journalArticle

Exterior Domain
Decay Rate
Navier-Stokes Equations
Schauder Estimates
Scalar

On invertible matrices over a near-field

Boykett, T., Ke, W-F. & Meyer, J. H., 2019 May 15, In : Journal of Algebra. 526, p. 345-355 11 p.

Research output: Contribution to journalArticle

Invertible matrix
Near-field
Bijective

Optimal estimation for the Fujino–Morley interpolation error constants

Liao, S. K., Shu, Y-C. & Liu, X., 2019 Jul 1, In : Japan Journal of Industrial and Applied Mathematics. 36, 2, p. 521-542 22 p.

Research output: Contribution to journalArticle

Interpolation Error
Optimal Estimation
Mathematical operators
Interpolation
Triangle
Projective Module
Lie Algebra
Irreducible Module
Lie Superalgebra
Truncation

Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems

Chiang, C. Y., Lin, M. M. & Jin, X. Q., 2019 Jan 1, In : BIT Numerical Mathematics.

Research output: Contribution to journalArticle

Inexact Newton Methods
Newton-Raphson method
Singular Values
Eigenvalue
Inverse problems

Strong unique continuation for two-dimensional anisotropic elliptic systems

Kuan, R-L., Nakamura, G., Sasayama, S. & Hitrik, M., 2019 May 1, In : Proceedings of the American Mathematical Society. 147, 5, p. 2171-2183 13 p.

Research output: Contribution to journalArticle

Carleman Estimate
Unique Continuation
Elliptic Systems
Gevrey Classes
Second-order Systems
1 Citation (Scopus)

Unique continuation property for multi-terms time fractional diffusion equations

Lin, C-L. & Nakamura, G., 2019 Apr 1, In : Mathematische Annalen. 373, 3-4, p. 929-952 24 p.

Research output: Contribution to journalArticle

Unique Continuation
Fractional Diffusion Equation
Term
Carleman Estimate
Zero set
2018
1 Citation (Scopus)

An accelerated technique for solving one type of discrete-time algebraic Riccati equations

Lin, M. M. & Chiang, C. Y., 2018 Aug 15, In : Journal of Computational and Applied Mathematics. 338, p. 91-110 20 p.

Research output: Contribution to journalArticle

Positive Definite Solution
Algebraic Riccati Equation
Riccati equations
Discrete-time
Critical Case
Weierstrass Point
Mean Field Equation
Hyperelliptic Curves
Pi
Genus

An iterative method for solving the stable subspace of a matrix pencil and its application

Lin, M. M. & Chiang, C. Y., 2018 Jul 3, In : Linear and Multilinear Algebra. 66, 7, p. 1279-1298 20 p.

Research output: Contribution to journalArticle

Matrix Pencil
Subspace
Iteration
Square root
Matrix Square Root

Bergman iteration and C-convergence towards KÄhler-Ricci flow

Ryosuke, T., 2018 Oct 1, In : Osaka Journal of Mathematics. 55, 4, p. 713-729 17 p.

Research output: Contribution to journalArticle

Ricci Flow
Iteration
Bergman Metric
Topology
Calabi-Yau Manifolds

Bernstein-Sato polynomials on normal toric varieties

Hsiao, J-C. & Matusevich, L. F., 2018 Mar 1, In : Michigan Mathematical Journal. 67, 1, p. 117-132 16 p.

Research output: Contribution to journalArticle

Multiplier Ideals
Semigroup Ring
Monomial Ideals
Bernstein Polynomials
Toric Varieties
1 Citation (Scopus)

Brendle’s Inequality on Static Manifolds

Wang, X. & Wang, Y-K., 2018 Jan 1, In : Journal of Geometric Analysis. 28, 1, p. 152-169 18 p.

Research output: Contribution to journalArticle

Geometric Inequalities
Hyperbolic Manifold
Mean Curvature
Hypersurface
Reverse
1 Citation (Scopus)

Classification of some 3-subgroups of the finite groups of Lie type E6

An, J., Dietrich, H. & Huang, S-C., 2018 Dec 1, In : Journal of Pure and Applied Algebra. 222, 12, p. 4020-4039 20 p.

Research output: Contribution to journalArticle

Finite Groups of Lie Type
Subgroup
Conjugacy
Groups of Lie Type
Modular Representations

Distributed and load adaptive energy management algorithm for ethernet green routers

Awad, M. K., Lin, P. & Liu, G-R., 2018 Jan 1, In : Journal of Internet Technology. 19, 3, p. 781-794 14 p.

Research output: Contribution to journalArticle

Energy management
Ethernet
Routers
Energy conservation
Energy utilization
1 Citation (Scopus)

Explicit Solutions to the mean field equations on hyperelliptic curves of genus two

Liou, J-M., 2018 Feb 1, In : Differential Geometry and its Application. 56, p. 173-186 14 p.

Research output: Contribution to journalArticle

Mean Field Equation
Hyperelliptic Curves
Explicit Solution
Genus
Total curvature
1 Citation (Scopus)

Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

Chiang, M-J. & Kessler, L., 2018 Jan 1, (Accepted/In press) In : Journal of Topology and Analysis.

Research output: Contribution to journalArticle

Circle Action
Hamiltonian Actions
Trivial
Four-manifolds
Cyclic group

Integer Matrix Approximation and Data Mining

Dong, B., Lin, M. M. & Park, H., 2018 Apr 1, In : Journal of Scientific Computing. 75, 1, p. 198-224 27 p.

Research output: Contribution to journalArticle

Matrix Approximation
Integer Matrix
Data mining
Data Mining
Integer

Modeling Energy Saving Mechanism for Green Routers

Liu, G-R., Lin, P. & Awad, M. K., 2018 Sep 1, In : IEEE Transactions on Green Communications and Networking. 2, 3, p. 817-829 13 p., 8304600.

Research output: Contribution to journalArticle

Routers
Energy conservation
Energy utilization
Internet
Packet loss

Nonlinear stability of the 1D Boltzmann equation in a periodic box

Wu, K-C., 2018 Apr 9, In : Nonlinearity. 31, 5, p. 2173-2191 19 p.

Research output: Contribution to journalArticle

Knudsen number
Knudsen flow
Boltzmann equation
Nonlinear Stability
Boltzmann Equation

On polynomial rings over nil rings in several variables and the central closure of prime nil rings

Chebotar, M., Ke, W-F., Lee, P. H. & Puczyłowski, E. R., 2018 Feb 1, In : Israel Journal of Mathematics. 223, 1, p. 309-322 14 p.

Research output: Contribution to journalArticle

Nil
Several Variables
Polynomial ring
Closure
Ring
1 Citation (Scopus)

On the standing waves of quantum Zakharov system

Fang, Y-F., Segata, J. I. & Wu, T. F., 2018 Feb 15, In : Journal of Mathematical Analysis and Applications. 458, 2, p. 1427-1448 22 p.

Research output: Contribution to journalArticle

Standing Wave
Quantum Systems
Ion acoustic waves
Nonlinear Interaction
Acoustic Waves
7 Citations (Scopus)

Phase Retrieval with One or Two Diffraction Patterns by Alternating Projections with the Null Initialization

Chen, P., Fannjiang, A. & Liu, G-R., 2018 Jun 1, In : Journal of Fourier Analysis and Applications. 24, 3, p. 719-758 40 p.

Research output: Contribution to journalArticle

Alternating Projections
Phase Retrieval
Initialization
Diffraction patterns
Null

Quantitative Pointwise Estimate of the Solution of the Linearized Boltzmann Equation

Lin, Y-C., Wang, H. & Wu, K-C., 2018 Apr 23, (Accepted/In press) In : Journal of Statistical Physics. p. 1-38 38 p.

Research output: Contribution to journalArticle

Pointwise Estimates
Boltzmann Equation
estimates
Mach number
Molecules

Quasi-local energy with respect to a static spacetime

Chen, P. N., Wang, M. T., Wang, Y-K. & Yau, S. T., 2018 Jan 1, In : Advances in Theoretical and Mathematical Physics. 22, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

Space-time
Energy
Hilbert
Albert Einstein
energy
1 Citation (Scopus)

Radical 3-subgroups of the finite groups of Lie type E6

An, J., Dietrich, H. & Huang, S-C., 2018 Dec 1, In : Journal of Pure and Applied Algebra. 222, 12, p. 4040-4067 28 p.

Research output: Contribution to journalArticle

Finite Groups of Lie Type
Subgroup
Groups of Lie Type
Conjugacy
Frobenius

Smoothing effects and decay estimate of the solution of the linearized two species Landau equation

Lin, Y-C., Wang, H. & Wu, K-C., 2018 Jan 1, In : Communications in Mathematical Sciences. 16, 8, p. 2261-2300 40 p.

Research output: Contribution to journalArticle

Landau Equation
Smoothing Effect
Decay Estimates
Large Time Behavior
Smooth Solution

Symmetric structure for the endomorphism algebra of projective-injective module in parabolic category

Hu, J. & Lam, N., 2018 Dec 1, In : Journal of Algebra. 515, p. 173-201 29 p.

Research output: Contribution to journalArticle

Injective Module
Projective Module
Endomorphism
Symmetric Algebra
Algebra

The algebraic de rham cohomology of representation varieties

Xia, E. Z., 2018 Jun 1, In : Canadian Journal of Mathematics. 70, 3, p. 702-720 19 p.

Research output: Contribution to journalArticle

De Rham Cohomology
Torus
Locus
Theorem
Family

The hessian of quantized ding functionals and its asymptotic behavior

Ryosuke, T., 2018 Jan 1, In : Kodai Mathematical Journal. 41, 2, p. 301-314 14 p.

Research output: Contribution to journalArticle

Asymptotic Behavior
Projective geometry
Otto Toeplitz
Geodesic
Convexity

The strong monodromy conjecture for monomial ideals on toric varieties

Hsiao, J-C. & Lai, C-J., 2018 Mar 14, (Accepted/In press) In : Communications in Algebra. p. 1-10 10 p.

Research output: Contribution to journalArticle

Monomial Ideals
Toric Varieties
Monodromy
Riemann zeta function
Pole

The SU(2) -character variety of the closed surface of genus 2

Ho, N. K., Jeffrey, L. C., Nguyen, K. D. & Xia, E. Z., 2018 Feb 1, In : Geometriae Dedicata. 192, 1, p. 171-187 17 p.

Research output: Contribution to journalArticle

Character Variety
Moduli Space
Genus
Symplectic Geometry
Closed

Weighted Hsiung-Minkowski formulas and rigidity of umbilical hypersurfaces

Kwong, K-K., Lee, H. & Pyo, J., 2018 Jan 1, In : Mathematical Research Letters. 25, 2, p. 597-616 20 p.

Research output: Contribution to journalArticle

Rigidity
Hypersurface
Reflection Principle
Curvature Flow
Warped Product
2017

A functional inequality on the boundary of static manifolds

Kwong, K-K. & Miao, P., 2017 Jan 1, In : Asian Journal of Mathematics. 21, 4, p. 687-696 10 p.

Research output: Contribution to journalArticle

Functional Inequalities
Second Fundamental Form
Mean Curvature
Compact Manifold
Riemannian Manifold
1 Citation (Scopus)

Asymptotic Behavior for Rayleigh Problem Based on Kinetic Theory

Kuo, H-W., 2017 Mar 1, In : Journal of Statistical Physics. 166, 5, p. 1247-1275 29 p.

Research output: Contribution to journalArticle

Kinetic Theory
kinetic theory
Rayleigh
Asymptotic Behavior
Boltzmann Equation
1 Citation (Scopus)

Boltzmann systems for gas mixtures in 1d torus

Wu, K-C., 2017 Jan 1, In : Quarterly of Applied Mathematics. 75, 3, p. 415-431 17 p.

Research output: Contribution to journalArticle

Gas Mixture
Boltzmann equation
Boltzmann Equation
Ludwig Boltzmann
Gas mixtures
4 Citations (Scopus)

Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface

Di Cristo, M., Francini, E., Lin, C-L., Vessella, S. & Wang, J. N., 2017 Aug 1, In : Journal des Mathematiques Pures et Appliquees. 108, 2, p. 163-206 44 p.

Research output: Contribution to journalArticle

Carleman Estimate
Second Order Elliptic Equations
Lipschitz
Jump
Coefficient
1 Citation (Scopus)

Double well potential function and its optimization in the n-dimensional real space - Part II

Xla, Y., Sheu, R-L., Fang, S. C. & Xing, W., 2017 Jul 1, In : Journal of Industrial and Management Optimization. 13, 3, p. 1307-1328 22 p.

Research output: Contribution to journalArticle

Double-well Potential
Potential Function
n-dimensional
Local Minimizer
Optimization

Estimation of selected parameters

Pan, J. C., Huang, Y. & Hwang, J. T. G., 2017 May 1, In : Computational Statistics and Data Analysis. 109, p. 45-63 19 p.

Research output: Contribution to journalArticle

Maximum likelihood
Bayes Estimator
Estimator
Prior distribution
Genes
4 Citations (Scopus)
Dengue
Viremia
Blood Donors
Taiwan
Dengue Virus
1 Citation (Scopus)

Local well-posedness for the quantum Zakharov system in one spatial dimension

Fang, Y-F., Shih, H-W. & Wang, K. H., 2017 Mar 1, In : Journal of Hyperbolic Differential Equations. 14, 1, p. 157-192 36 p.

Research output: Contribution to journalArticle

Local Well-posedness
Quantum Systems
Sobolev Spaces
Electric Field
Deviation

Low regularity global well-posedness for the quantum Zakharov system in 1D

Chen, T. J., Fang, Y-F. & Wang, K. H., 2017 Jan 1, In : Taiwanese Journal of Mathematics. 21, 2, p. 341-361 21 p.

Research output: Contribution to journalArticle

Global Well-posedness
Quantum Systems
Regularity
Large Set
Counterexample
5 Citations (Scopus)

Minkowski formulae and Alexandrov theorems in space time

Wang, M. T., Wang, Y-K. & Zhang, X., 2017 Feb 1, In : Journal of Differential Geometry. 105, 2, p. 249-290 42 p.

Research output: Contribution to journalArticle

Submanifolds
Null
Mean Curvature
Codimension
Theorem