Works (49)

Updated: July 5th, 2023 15:35

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.

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: January 17, 2023

2023 article

STOCHASTIC EQUILIBRIUM SOLUTION FOR A DEBT MANAGEMENT PROBLEM WITH CURRENCY DEVALUATION

Marigonda, A., & Nguyen, K. T. (2023, May). MATHEMATICAL CONTROL AND RELATED FIELDS, Vol. 5.

By: A. Marigonda & K. Nguyen

author keywords: Stochastic model; infinite time horizon; optimal feedback solution; debt management; currency devaluation
Sources: Web Of Science, ORCID
Added: June 19, 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.

co-author countries: Norway 🇳🇴 United States of America 🇺🇸
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.

By: R. Capuani, P. Dutta* & K. Nguyen

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.

Tien Khai Nguyen

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.

By: F. Ancona & K. Nguyen

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).

co-author countries: United States of America 🇺🇸
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

(2020, September 11).

Tien Khai Nguyen

Source: ORCID
Added: September 24, 2020

2020 article

Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian

(2020, December 19).

Tien Khai Nguyen

Source: ORCID
Added: December 28, 2020

2020 article

On the global controllability of scalar conservation laws with boundary and source controls

(2020, September 17).

Tien Khai Nguyen

Source: ORCID
Added: September 24, 2020

2020 article

SBV regularity for Burgers-Poisson equation

(2020, December 15).

Tien Khai Nguyen

Source: ORCID
Added: December 28, 2020

2019 article

A model of debt with bankruptcy risk and currency devaluation

(2019, October 1).

Tien Khai Nguyen

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.

By: A. Bressan, M. Mazzola & K. Nguyen

Contributors: A. Bressan, M. Mazzola & K. Nguyen

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).

By: M. Mazzola* & K. Nguyen n

co-author countries: France 🇫🇷 United States of America 🇺🇸

Contributors: M. Mazzola* & K. Nguyen n

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.

By: F. Ancona, O. Glass & K. Nguyen

Contributors: F. Ancona, O. Glass & K. Nguyen

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

(2018, May 14).

Tien Khai Nguyen

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.

co-author countries: United States of America 🇺🇸

Contributors: P. Dutta n & K. Nguyen n

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.

co-author countries: United States of America 🇺🇸

Contributors: A. Bressan* & K. Nguyen n

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.

co-author countries: Italy 🇮🇹 United States of America 🇺🇸

Contributors: A. Bressan, A. Marigonda*, K. Nguyen n & M. Palladino*

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.

co-author countries: Italy 🇮🇹 United States of America 🇺🇸

Contributors: G. Cavagnari*, A. Marigonda*, K. Nguyen n & F. Priuli*

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.

co-author countries: United States of America 🇺🇸

Contributors: A. Bressan* & K. Nguyen*

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.

By: T. Nguyen & K. Grunert

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.

co-author countries: Norway 🇳🇴 United States of America 🇺🇸

Contributors: K. Grunert* & K. Nguyen*

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).

By: A. Bressan*, M. Mazzola* & K. Nguyen*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Contributors: A. Bressan*, M. Mazzola* & K. Nguyen*

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.

By: T. Nguyen, F. Ancona & P. Cannarsa

Source: NC State University Libraries
Added: June 30, 2019

2015 article

Compactness estimates for Hamilton-Jacobi equations depending on space

(2015, April 13).

Tien Khai Nguyen

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.

By: A. Bressan & K. Nguyen

Contributors: A. Bressan & K. Nguyen

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.

By: T. Nguyen, F. Ancona & O. Glass

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.

By: F. Ancona*, O. Glass* & K. Nguyen*

co-author countries: France 🇫🇷 Italy 🇮🇹 United States of America 🇺🇸

Contributors: F. Ancona*, O. Glass* & K. Nguyen*

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.

By: A. Bressan & K. Nguyen*

co-author countries: United States of America 🇺🇸

Contributors: A. Bressan & K. Nguyen*

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.

co-author countries: Italy 🇮🇹 United States of America 🇺🇸
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.

By: F. Ancona*, P. Cannarsa* & K. Nguyen*

co-author countries: Italy 🇮🇹 United States of America 🇺🇸

Contributors: F. Ancona*, P. Cannarsa* & K. Nguyen*

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).

co-author countries: Italy 🇮🇹

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.

By: A. Bressan & K. Nguyen

Contributors: A. Bressan & K. Nguyen

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,

Tien Khai Nguyen

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.

co-author countries: Italy 🇮🇹 United States of America 🇺🇸
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.

By: G. Colombo & K. Nguyen

Contributors: G. Colombo & K. Nguyen

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.

By: A. Marigonda*, K. Nguyen* & D. Vittone*

co-author countries: Brazil 🇧🇷

Contributors: A. Marigonda*, K. Nguyen* & D. Vittone*

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.

By: F. Ancona*, O. Glass* & K. Nguyen*

co-author countries: France 🇫🇷 Italy 🇮🇹

Contributors: F. Ancona*, O. Glass* & K. Nguyen*

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

By: T. Nguyen & D. Vittone

Contributors: K. Nguyen & D. Vittone

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.

co-author countries: Italy 🇮🇹
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.

By: P. Cannarsa & K. Nguyen

Contributors: P. Cannarsa & K. Nguyen

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.

co-author countries: Italy 🇮🇹

Contributors: K. Nguyen*

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.

By: G. Colombo & K. Nguyen*

co-author countries: Italy 🇮🇹

Contributors: G. Colombo & K. Nguyen*

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.

co-author countries: Italy 🇮🇹

Contributors: G. Colombo* & K. Nguyen*

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.

Tien Khai Nguyen

Source: ORCID
Added: April 22, 2020

2007 journal article

Critical points of non-C2 functional

Topological Methods of Nonlinear Analysis, 29(1), 35–68.

By: T. Nguyen, D. Duong & H. Tran

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.

By: T. Nguyen, D. Duong & H. Tran

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.

By: D. Duc*, T. Hung* & N. Khai*

co-author countries: Viet Nam 🇻🇳

Contributors: D. Duc*, T. Hung* & N. Khai*

author keywords: Morse-Palais lemma; normed spaces; directional differentiability
Source: ORCID
Added: April 22, 2020

Employment

Updated: September 8th, 2019 18:32

North Carolina State Univeristy Raleigh, US
Department of Mathematics

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