Works (48)
2023 article
Generic Properties of First-Order Mean Field Games
Bressan, A., & Nguyen, K. T. T. (2023, January 2). DYNAMIC GAMES AND APPLICATIONS, Vol. 1.
arxiv.org (repository)
Sources: Web Of Science, ORCID
Added: January 17, 2023
2022 article
Shock interactions for the Burgers-Hilbert equation
Bressan, A., Galtung, S. T., Grunert, K., & Nguyen, K. T. (2022, June 24). COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, Vol. 6.
author keywords: Burgers-Hilbert equation; weak solution; piecewise regular solution; shock interaction
Sources: Web Of Science, ORCID
Added: July 5, 2022
2021 journal article
METRIC ENTROPY FOR FUNCTIONS OF BOUNDED TOTAL GENERALIZED VARIATION
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 53(1), 1168–1190.
author keywords: metric entropy; doubling dimension; total generalized variation
Sources: ORCID, Web Of Science
Added: March 29, 2021
2021 journal article
Metric entropy for functions of bounded total generalized variation
SIAM J. Math. Anal.
Source: ORCID
Added: April 22, 2020
2021 journal article
ON THE GLOBAL CONTROLLABILITY OF SCALAR CONSERVATION LAWS WITH BOUNDARY AND SOURCE CONTROLS
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 59(6), 4314–4338.
author keywords: conservation laws; source control; global exact controllability; return method
Source: Web Of Science
Added: January 10, 2022
2021 journal article
SBV regularity for Burgers-Poisson equation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 500(1).
author keywords: Burgers-Poisson equation; Entropy weak solution; SBV regularity
Source: Web Of Science
Added: April 19, 2021
2020 article
Markovian Solutions to Discontinuous ODEs
Nguyen, T. K. (2020, September 11).
Source: ORCID
Added: September 24, 2020
2020 article
Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian
Nguyen, T. K. (2020, December 19).
Source: ORCID
Added: December 28, 2020
2020 article
On the global controllability of scalar conservation laws with boundary and source controls
Nguyen, T. K. (2020, September 17).
Source: ORCID
Added: September 24, 2020
2020 article
SBV regularity for Burgers-Poisson equation
Nguyen, T. K. (2020, December 15).
Source: ORCID
Added: December 28, 2020
2019 article
A model of debt with bankruptcy risk and currency devaluation
Nguyen, T. K. (2019, October 1).
Source: ORCID
Added: April 22, 2020
2019 journal article
APPROXIMATION OF SWEEPING PROCESSES AND CONTROLLABILITY FOR A SET-VALUED EVOLUTION
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 57(4), 2487–2514.
author keywords: sweeping processes; set-valued evolution; controllability
Sources: ORCID, Web Of Science
Added: April 20, 2020
2019 book
Lyapunov’s Theorem via Baire Category
In Springer INdAM Series (Vol. 32, pp. 181–194).
Source: ORCID
Added: April 22, 2020
2019 journal article
ON KOLMOGOROV ENTROPY COMPACTNESS ESTIMATES FOR SCALAR CONSERVATION LAWS WITHOUT UNIFORM CONVEXITY
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 51(4), 3020–3051.
author keywords: Kolmogorov entropy; scalar conservation laws; compactness estimates
Sources: ORCID, Web Of Science
Added: April 20, 2020
2018 article
A Debt Management Problem with Currency Devaluation
Nguyen, T. K. (2018, May 14).
Source: ORCID
Added: April 22, 2020
2018 journal article
Covering numbers for bounded variation functions
Journal of Mathematical Analysis and Applications, 468(2), 1131–1143.
author keywords: The epsilon-entropy; Bounded variation functions
Sources: Crossref, ORCID, Web Of Science
Added: October 16, 2018
2018 journal article
Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games
DYNAMIC GAMES AND APPLICATIONS, 8(1), 42–78.
author keywords: Noncooperative differential games; Nash equilibrium; Infinite horizon
Sources: Web Of Science, ORCID
Added: August 6, 2018
2017 journal article
A Stochastic Model of Optimal Debt Management and Bankruptcy
SIAM JOURNAL ON FINANCIAL MATHEMATICS, 8(1), 841–873.
author keywords: debt management and bankruptcy; infinite time horizon; optimal feedback solution
Sources: Web Of Science, ORCID
Added: August 6, 2018
2017 journal article
Generalized Control Systems in the Space of Probability Measures
Set-Valued and Variational Analysis, 26(3), 663–691.
author keywords: Optimal transport; Differential inclusions; Time-optimal control; Set-valued analysis
Sources: ORCID, Crossref
Added: June 30, 2019
2016 journal article
An equilibrium model of debt and bankruptcy
ESAIM: Control, Optimisation and Calculus of Variations, 22(4), 953–982.
author keywords: Optimal control; differential game; optimal debt management; bankruptcy risk
Sources: Crossref, ORCID
Added: June 30, 2019
2016 journal article
Global existence of weak solutions for Burgers-Poisson equation
Journal of Differential Equations, 23(4), 23–46.
Source: NC State University Libraries
Added: June 30, 2019
2016 journal article
On the Burgers–Poisson equation
Journal of Differential Equations, 261(6), 3220–3246.
author keywords: Burgers-Poisson equation; Existence; Uniqueness; Blow-up
Sources: ORCID, Crossref
Added: April 22, 2020
2016 journal article
The bang–bang theorem via Baire category: a dual approach
Nonlinear Differential Equations and Applications NoDEA, 23(4).
Sources: Crossref, ORCID
Added: June 30, 2019
2016 journal article
The compactness estimates for Hamilton Jacobi Equations depending on space
Bulletin of the Institute of Mathematics, Academia Sinica, 11, 63–113.
Source: NC State University Libraries
Added: June 30, 2019
2015 article
Compactness estimates for Hamilton-Jacobi equations depending on space
Nguyen, T. K. (2015, April 13).
Source: ORCID
Added: April 22, 2020
2015 journal article
Conservation law models for traffic flow on a network of roads
Networks and Heterogeneous Media, 10(2), 255–293.
author keywords: Traffic flows; network of roads; scalar conservation laws; Hamilton Jacobi equations; Lax type formula
Sources: Crossref, ORCID
Added: June 30, 2019
2015 journal article
On compactness estimates for general nonlinear system hyperbolic systems
Annales De l'Institut Henri Poincaré, Analyse Non Linéaire, 32(6), 1229–1257.
Source: NC State University Libraries
Added: July 28, 2019
2015 journal article
On compactness estimates for hyperbolic systems of conservation laws
Annales De l'Institut Henri Poincare (C) Non Linear Analysis, 32(6), 1229–1257.
author keywords: Hyperbolic systems of conservation laws; Temple systems; Compactness estimates; Kolmogorov entropy
Sources: ORCID, Crossref
Added: April 22, 2020
2015 journal article
Optima and equilibria for traffic flow on networks with backward propagating queues
Networks and Heterogeneous Media, 10(4), 717–748.
author keywords: Traffic flows; network of roads; scalar conservation laws; global optima; Nash equilibria
Sources: Crossref, ORCID
Added: June 30, 2019
2015 journal article
Optimality conditions and regularity results for time optimal control problems with differential inclusions
Journal of Mathematical Analysis and Applications, 427(1), 202–228.
author keywords: Proximal normal vectors; Differential inclusions; Time optimal control; Semiconcave functions
Sources: Crossref, ORCID
Added: June 30, 2019
2015 journal article
Quantitative Compactness Estimates for Hamilton–Jacobi Equations
Archive for Rational Mechanics and Analysis, 219(2), 793–828.
Sources: ORCID, Crossref
Added: June 30, 2019
2014 chapter
BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions
In I. Lirkov, S. Margenov, & J. Waśniewski (Eds.), Large-Scale Scientific Computing: Vol. 8353 LNCS (pp. 116–124).
Ed(s): I. Lirkov, S. Margenov & J. Waśniewski
Event: 9th International Conference, LSSC 2013 at Sozopol, Bulgaria on June 3-7, 2013
Sources: ORCID, Crossref
Added: April 22, 2020
2014 journal article
Global Existence of Weak Solutions for the Burgers--Hilbert Equation
SIAM Journal on Mathematical Analysis, 46(4), 2884–2904.
author keywords: Burgers-Hilbert equations; weak entropy solutions; global existence
Sources: Crossref, ORCID
Added: June 30, 2019
2014 conference paper
On quantitative compactness estimates for hyperbolic conservation laws
Hyperbolic problems: theory, numerics, applications, 249–257, AIMS Ser. Appl. Math., 8, Am. Inst. Math. Sci. (AIMS), Springfield, MO,
Source: ORCID
Added: April 22, 2020
2013 journal article
Non-Lipschitz points and the SBV regularity of the minimum time function
Calculus of Variations and Partial Differential Equations, 51(1-2), 439–463.
Sources: ORCID, Crossref
Added: July 9, 2019
2013 journal article
On the minimum time function around the origin
Mathematical Control and Related Fields, 3(1), 51–82.
author keywords: Reachable sets; exterior sphere condition; maximum principle
Sources: Crossref, ORCID
Added: June 30, 2019
2013 journal article
Some regularity results for a class of upper semicontinuous functions
Indiana University Mathematics Journal, 62(1), 45–89.
author keywords: exterior sphere condition; sets with positive reach; reduced boundary
Sources: Crossref, ORCID
Added: June 30, 2019
2012 journal article
Lower compactness estimates for scalar balance laws
Communications on Pure and Applied Mathematics, 65(9), 1303–1329.
Sources: Crossref, ORCID
Added: June 30, 2019
2012 journal article
Rectifiability of special singularities of non-lipschitz functions
Journal of Convex Analysis, 19(1), 159–170. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856829336&partnerID=MN8TOARS
Sources: NC State University Libraries, ORCID
Added: July 28, 2019
2012 journal article
Singular gradient flow of the distance function and homotopy equivalence
Mathematische Annalen, 356(1), 23–43.
Sources: ORCID, Crossref
Added: June 30, 2019
2011 journal article
Exterior Sphere Condition and Time Optimal Control for Differential Inclusions
SIAM Journal on Control and Optimization, 49(6), 2558–2576.
author keywords: proximal normal vectors; exterior sphere condition; differential inclusions; time optimal control; semiconcave functions
Sources: Crossref, ORCID
Added: June 30, 2019
2010 journal article
Hypographs satisfying an external sphere condition and the regularity of the minimum time function
Journal of Mathematical Analysis and Applications, 372(2), 611–628.
author keywords: Normal vectors; phi-convex (prox-regular, positive reach) sets; Internal/external sphere condition
Sources: Crossref, ORCID
Added: June 30, 2019
2010 journal article
On the Structure of the Minimum Time Function
SIAM Journal on Control and Optimization, 48(7), 4776–4814.
author keywords: normal vectors; phi-convex (prox-regular, positive reach) sets; internal sphere condition; small time controllability; adjoint flow
Sources: Crossref, ORCID
Added: June 30, 2019
2009 journal article
Quantitative isoperimetric inequalities for a class of nonconvex sets
Calculus of Variations and Partial Differential Equations, 37(1-2), 141–166.
author keywords: Sets with positive reach; External sphere condition; Internal cone condition; Isoperimetric deficiency; Spherical deviation; Fraenkel asymmetry
Sources: Crossref, ORCID
Added: June 30, 2019
2007 journal article
CRITICAL POINTS OF NON-C2 FUNCTIONALS
Topological Methods in Nonlinear Analysis.
Source: ORCID
Added: April 22, 2020
2007 journal article
Critical points of non-C2 functional
Topological Methods of Nonlinear Analysis, 29(1), 35–68.
Source: NC State University Libraries
Added: July 9, 2019
2007 journal article
Morse-Palais Lemma for nonsmooth functionals on normed spaces
Proceedings of the American Mathematical Society, 135(3), 921–927.
Source: NC State University Libraries
Added: July 28, 2019
2007 journal article
Morse-palais lemma for nonsmooth functionals on normed spaces
Proceedings of the American Mathematical Society, 135(3), 921–927.
author keywords: Morse-Palais lemma; normed spaces; directional differentiability
Source: ORCID
Added: April 22, 2020
Employment
North Carolina State Univeristy Raleigh, US
Department of Mathematics
