Michael Shearer

Works (62)

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, M. Shearer & 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 & M. Shearer

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 & M. Shearer

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, M. Shearer & 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 & M. Shearer

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 & M. Shearer

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: M. Shearer, 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, M. Shearer & 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 & M. Shearer

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 & M. Shearer

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: M. Shearer & 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, M. Shearer & 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, M. Shearer & 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: M. Shearer, 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, M. Shearer, 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, M. Shearer & 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: M. Shearer

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: M. Shearer

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 & M. Shearer

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.

By: K. Spayd, M. Shearer & Z. Hu

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 & M. Shearer

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, M. Shearer, 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: M. Shearer & 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 & M. Shearer

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, M. Shearer & 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, M. Shearer & 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: M. Shearer & 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: M. Shearer, 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: M. Shearer, 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, M. Shearer, T. Witelski & R. Levy

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: M. Shearer, 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, M. Shearer & 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, M. Shearer & 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, M. Shearer & 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, M. Shearer & 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 & M. Shearer

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, M. Shearer & 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 & M. Shearer

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 & M. Shearer

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 & M. Shearer

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 & M. Shearer

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: M. Shearer, 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, M. Shearer & 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 & M. Shearer

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 & M. Shearer

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 & M. Shearer

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, M. Shearer & 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 & M. Shearer

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, M. Shearer & 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, M. Shearer & 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 & M. Shearer

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 & M. Shearer

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 & M. Shearer

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 & M. Shearer

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 & M. Shearer

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: M. Shearer, 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 & M. Shearer

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 & M. Shearer

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 & M. Shearer

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, M. Shearer & 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 & M. Shearer

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 & M. Shearer

Source: NC State University Libraries
Added: August 6, 2018