Is this your profile?

Claim your Citation Index profile in order to display more information about you and gain access to Libraries services. Just create or connect your ORCID iD.

Create or connect your ORCID iD

2019 journal article

Constitutive relations for compressible granular flow in the inertial regime

*JOURNAL OF FLUID MECHANICS*, *874*, 926–951.

By: D. Schaeffer, T. Barker, D. Tsuji, P. Gremaud, & J. Gray

Source: Web Of Science

Added: August 12, 2019

2019 journal article

Nonlinear Schrodinger equations and the universal description of dispersive shock wave structure

*STUDIES IN APPLIED MATHEMATICS*, *142*(3), 241–268.

By: T. Congy, G. El, M. Hoefer &

Source: Web Of Science

Added: April 2, 2019

2018 journal article

A A scalar conservation law for plume migration in carbon sequestration

*SIAM Journal on Applied Mathematics*, *78*(3), 1823–1841.

By: E. Brown &

Source: NC State University Libraries

Added: August 6, 2018

2018 journal article

Nonlocal rheology of dense granular flow in annular shear experiments

*Soft Matter*, *14*(16), 3040–3048.

By: Z. Tang, T. Brzinski, & K. Daniels

Sources: NC State University Libraries, Crossref

Added: August 6, 2018

2017 journal article

Deformation of an elastic substrate due to a resting sessile droplet

*European Journal of Applied Mathematics*, *29*(2), 281–300.

By: A. Bardall, K. Daniels &

Sources: NC State University Libraries, Crossref

Added: August 6, 2018

2017 journal article

Dispersive and diffusive-dispersive shockwaves for nonconvex conservation laws

*SIAM Review*, *59*(1), 3–61.

By: G. El, M. Hoefer &

Source: NC State University Libraries

Added: August 6, 2018

2017 journal article

Stationary Expansion Shocks for a Regularized Boussinesq System

*Studies in Applied Mathematics*, *139*(4), 1–22.

By: , G. El & M. Hoefer

Source: NC State University Libraries

Added: July 10, 2019

2017 journal article

Well-posed continuum equations for granular flow with compressibility and mu(I)-rheology

By: T. Barker, D. Schaeffer, & J. Gray

Source: NC State University Libraries

Added: August 6, 2018

2017 journal article

Wetting dynamics of a collapsing fluid hole

*Physical Review Fluids*, *2*(1).

By: J. Bostwick, J. Dijksman &

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

Expansion shock waves in regularized shallow-water theory

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science*, *472*(2189), 20160141.

By: G. El, M. Hoefer &

Sources: NC State University Libraries, Crossref

Added: August 6, 2018

2015 book

Partial differential equations: An introduction to theory and applications

Princeton: Princeton University Press.

By: & R. Levy

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Spatiotemporal measurement of surfactant distribution on gravity-capillary waves

*Journal of Fluid Mechanics*, *777*.

By: S. Strickland, & K. Daniels

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Surfactant spreading on a thin liquid film: Reconciling models and experiments

*Journal of Engineering Mathematics*, *94*(1), 63–79.

By: E. Swanson, S. Strickland, & K. Daniels

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Traveling waves for conservation laws with cubic nonlinearity and BBM type dispersion

*Journal of Differential Equations*, *259*(7), 3216–3232.

By: , K. Spayd & E. Swanson

Source: NC State University Libraries

Added: August 6, 2018

2015 conference paper

Two Fluid Flow in a Capillary Tube

In *Collaborative mathematics and statistics research* (Vol. 109, pp. 149–161).

By: M. Strait, , R. Levy, L. Cueto-Felgueroso & R. Juanes

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Elastocapillary deformations on partially-wetting substrates: Rival contact-line models

*Soft Matter*, *10*(37), 7361–7369.

By: J. Bostwick, K. Daniels &

Source: NC State University Libraries

Added: August 6, 2018

2013 journal article

Smooth Periodic Solutions of a 2x2 System of Nonlinear Hyperbolic Conservation Laws

*Applied Mathematics Research EXpress*.

By:

Source: Crossref

Added: June 30, 2019

2013 conference paper

Two Fluid Flow in Porous Media

In *Proceedings of HYP2012* (Vol. 8, pp. 212–232). American Institute of Mathematical Sciences.

By:

Source: NC State University Libraries

Added: July 28, 2019

2012 journal article

Simulation of spreading surfactant on a thin liquid film

*Applied Mathematics and Computation*, *218*(9), 5157–5167.

By: E. Peterson &

Source: Crossref

Added: June 30, 2019

2012 journal article

Stability of plane waves in two-phase porous media flow

*Applicable Analysis*, *91*(2), 295–308.

Source: NC State University Libraries

Added: August 6, 2018

2011 journal article

The The Buckley-Leverett equation with dynamic capillary pressure

*SIAM Journal on Applied Mathematics*, *71*(4), 1088–1108.

By: K. Spayd &

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Evolution of a Mixing Zone in Granular Avalanches

*Applied Mathematics Research EXpress*.

By: M. McIntyre, E. Rowe, , J. Gray & A. Thornton

Source: Crossref

Added: June 30, 2019

2010 journal article

Finite time emergence of a shock wave for scalar conservation laws

*Journal of Hyperbolic Differential Equations*, *7*(1), 107–116.

By: & C. Dafermos

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Radial Spreading of a Surfactant on a Thin Liquid Film

*Applied Mathematics Research EXpress*.

By: E. Peterson &

Source: Crossref

Added: June 30, 2019

2010 journal article

Scalar conservation laws with nonconstant coefficients with application to particle size segregation in granular flow

*Journal of Nonlinear Science*, *20*(6), 689–707.

By: L. May, K. Daniels &

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Shear-driven size segregation of granular materials: Modeling and experiment

*Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics*, *81*(5).

By: L. May, L. Golick, K. Phillips, & K. Daniels

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Shock formation and breaking in granular avalanches

*Discrete and Continuous Dynamical Systems*, *27*(2), 693–714.

By: N. Giffen &

Source: NC State University Libraries

Added: August 6, 2018

2010 conference paper

The Gray-Thornton Model of Granular Segregation

Presented at the IUTAM-ISIMM SYMPOSIUM ON MATHEMATICAL MODELING AND PHYSICAL INSTANCES OF GRANULAR FLOWS, AIP.

By: , L. May, N. Giffen, K. Daniels, J. Goddard, P. Giovine, J. Jenkins

Source: Crossref

Added: June 30, 2019

2009 journal article

Periodic motion of a mass-spring system

*IMA Journal of Applied Mathematics*, *74*(6), 807–826.

By: P. Gremaud & K. Kleiner ,

Source: NC State University Libraries

Added: August 6, 2018

2009 conference paper

Stability of traveling waves in thin liquid films driven by gravity and surfactant

In *Hyperbolic problems: theory, numerics and applications, part 2* (Vol. 67, pp. 855–868).

By: E. Peterson, R. Levy , T. Witelski &

Source: NC State University Libraries

Added: August 6, 2018

2008 journal article

Stable solutions of a scalar conservation law for particle-size segregation in dense granular avalanches

*European Journal of Applied Mathematics*, *19*, 61–86.

By: , J. Gray & A. Thornton

Source: NC State University Libraries

Added: August 6, 2018

2007 journal article

Automated Review of Prerequisite Material for Intermediate-Level Undergraduate Mathematics

*PRIMUS*, *17*(2), 167–180.

By: R. Levy, & P. Taylor

Source: Crossref

Added: June 30, 2019

2007 journal article

Boundary-value problems for hyperbolic equations related to steady granular flow

*Mathematics and Mechanics of Solids: MMS*, *12*(6), 665–699.

By: D. Schaeffer, & T. Witelski

Source: NC State University Libraries

Added: August 6, 2018

2007 journal article

Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves

*European Journal of Applied Mathematics*, *18*, 679–708.

By: R. Levy, & T. Witelski

Source: NC State University Libraries

Added: August 6, 2018

2006 journal article

Growing surfactant waves in thin liquid films driven by gravity

*Applied Mathematics Research EXpress*.

By: T. Witelski, & R. Levy

Source: Crossref

Added: June 30, 2019

2006 journal article

The The motion of a thin liquid film driven by surfactant and gravity

*SIAM Journal on Applied Mathematics*, *66*(5), 1588–1609.

By: R. Levy &

Source: NC State University Libraries

Added: August 6, 2018

2006 journal article

Time-dependent solutions for particle-size segregation in shallow granular avalanches

*Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences*, *462*(2067), 947–972.

By: J. Gray, & A. Thornton

Source: NC State University Libraries

Added: August 6, 2018

2005 journal article

Kinetics and nucleation for driven thin film flow

*Physica. D, Nonlinear Phenomena*, *209*(04-Jan), 145–163.

By: R. Levy &

Source: NC State University Libraries

Added: August 6, 2018

2005 journal article

Non-linear dynamics of thin films and fluid interfaces - Preface

*Physica. D, Nonlinear Phenomena*, *209*(04-Jan), vii-.

By: R. Behringer &

Source: NC State University Libraries

Added: August 6, 2018

2004 journal article

Comparison of two dynamic contact line models for driven thin liquid films

*European Journal of Applied Mathematics*, *15*, 625–642.

By: R. Levy &

Source: NC State University Libraries

Added: August 6, 2018

2004 journal article

Non-classical Riemann solvers with nucleation

*Proceedings (Royal Society of Edinburgh). Section A, Mathematics*, *134*(2004), 961–984.

By: P. Lefloch &

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness

*Mathematical Models & Methods in Applied Sciences*, *13*(11), 1629–1671.

By: , D. Schaeffer & T. Witelski

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

Thin film traveling waves and the Navier slip condition

*SIAM Journal on Applied Mathematics*, *63*(2), 722–744.

By: R. Buckingham, & A. Bertozzi

Source: NC State University Libraries

Added: August 6, 2018

2002 journal article

Computer simulations of particle deposition in the lungs of chronic obstructive pulmonary disease patients

*Inhalation Toxicology*, *14*(7), 705–720.

By: R. Segal, T. Martonen, C. Kim &

Source: NC State University Libraries

Added: August 6, 2018

2001 journal article

A A discrete model for an ill-posed nonlinear parabolic PDE

*Physica. D, Nonlinear Phenomena*, *160*(3-4), 189–221.

By: T. Witelski, D. Schaeffer &

Source: NC State University Libraries

Added: August 6, 2018

2001 journal article

A A nonconvex scalar conservation law with trilinear flux

*Quarterly of Applied Mathematics*, *59*(4), 615–635.

By: B. Hayes &

Source: NC State University Libraries

Added: August 6, 2018

2001 journal article

Stability of compressive and undercompressive thin film travelling waves

*European Journal of Applied Mathematics*, *12*(2001 June), 253–291.

By: A. Bertozzi, A. Munch, & K. Zumbrun

Source: NC State University Libraries

Added: August 6, 2018

2000 journal article

Existence of undercompressive traveling waves in thin film equations

*SIAM Journal on Mathematical Analysis*, *32*(1), 194–213.

By: A. Bertozzi &

Source: NC State University Libraries

Added: August 6, 2018

2000 journal article

Mathematical Model of Airflow in the Lungs of Children I: Effects of Tumor Sizes and Locations

*Journal of Theoretical Medicine*, *2*(3), 199–213.

By: R. Segal, X. Guan, & T. Martonen

Source: Crossref

Added: June 30, 2019

2000 journal article

Mathematical Model of Airflow in the Lungs of Children II: Effects of Ventilatory Parameters

*Journal of Theoretical Medicine*, *3*(1), 51–62.

By: X. Guan, R. Segal, & T. Martonen

Source: Crossref

Added: June 30, 2019

2000 journal article

Numerical determination of flow corrective inserts for granular materials in conical hoppers

*International Journal of Non-Linear Mechanics*, *35*(5), 869–882.

By: P. Gremaud, D. Schaeffer &

Source: NC State University Libraries

Added: August 6, 2018

2000 other

Similarity solutions for granular flows in hoppers

*Nonlinear PDE’s, Dynamics and Continuum Physics*. American Mathematical Society.

By: P. Gremaud, J. Matthews &

Source: Crossref

Added: June 30, 2019

1999 journal article

Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes

*Proceedings of the Royal Society of Edinburgh Section A, Mathematical and Physical Sciences*, *129*(1999), 733–754.

By: B. Hayes &

Source: NC State University Libraries

Added: August 6, 2018

1999 journal article

Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity

*Journal of Mathematical Analysis and Applications*, *229*(1), 344–362.

By: M. Schulze &

Source: NC State University Libraries

Added: August 6, 2018

1999 journal article

Undercompressive shocks in thin film flows

*Physica. D, Nonlinear Phenomena*, *134*(4), 431–464.

By: A. Bertozzi, A. Munch &

Source: NC State University Libraries

Added: August 6, 2018

1999 chapter

Undercompressive waves in driven thin film flow: Theory, computation, and experiment

In V. Alexiades & G. Siopsis (Eds.), *Trends in Mathematical Physics* (Vol. 13, pp. 43–68). American Mathematical Society.

By: , A. Bertozzi & A. Munch

Ed(s): V. Alexiades & G. Siopsis

Source: Crossref

Added: July 10, 2019

1998 journal article

A A simple model for stress fluctuations in plasticity with application to granular materials

*SIAM Journal on Applied Mathematics*, *58*(6), 1791–1807.

By: D. Schaeffer &

Source: NC State University Libraries

Added: August 6, 2018

1998 journal article

An An elastoplasticity model for antiplane shearing with a non-associative flow rule: Genuine nonlinearity of plastic waves

*Journal of Mathematical Analysis and Applications*, *219*(2), 344–363.

By: F. Garaizar, M. Gordon &

Source: NC State University Libraries

Added: August 6, 2018

1998 journal article

Discrete element investigation of stress fluctuation in granular flow at high strain rates

*Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, *57*(2 pt .B), 2053–2061.

By: O. Schwarz, Y. Horie &

Source: NC State University Libraries

Added: August 6, 2018

1998 journal article

Lithotripsy: the treatment of kidney stones

*SIAM Review*, *40*(1998), 356–371.

By: L. Howle, D. Schaeffer, & P. Zhong

Source: NC State University Libraries

Added: August 6, 2018

1997 journal article

Plane shear waves in a fully saturated granular medium with velocity and stress

*International Journal of Non-Linear Mechanics*, *32*(1997), 489–503.

By: M. Gordon, D. Schaeffer &

Source: NC State University Libraries

Added: August 6, 2018

1997 journal article

The The influence of material non-uniformity preceding shear-band formation in a model for granular flow

*European Journal of Applied Mathematics*, *8 (part 5)*(1997 Oct.), 457–483.

By: D. Schaeffer &

Source: NC State University Libraries

Added: August 6, 2018