Mark Alan Hoefer

Works (23)

Updated: July 5th, 2023 15:49

2021 article

Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability

Binswanger, A. L., Hoefer, M. A., Ilan, B., & Sprenger, P. (2021, May 25). STUDIES IN APPLIED MATHEMATICS.

By: A. Binswanger*, M. Hoefer*, B. Ilan * & P. Sprenger n

author keywords: modulational instability; the Whitham equation; Whitham modulation theory
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: June 10, 2021

2018 journal article

Nonlinear Schrödinger 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 n 

author keywords: asymptotic analysis; nonlinear waves; partial differential equations
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: April 2, 2019

2017 journal article

Stationary Expansion Shocks for a Regularized Boussinesq System

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

By: M. Shearer n , G. El * & M. Hoefer*

UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
15. Life on Land (OpenAlex)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018

2014 journal article

Attraction, merger, reflection, and annihilation in magnetic droplet soliton scattering

PHYSICAL REVIEW B, 89(18).

By: M. Maiden *, L. Bookman n & M. Hoefer n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Confined Dissipative Droplet Solitons in Spin-Valve Nanowires with Perpendicular Magnetic Anisotropy

PHYSICAL REVIEW LETTERS, 112(4).

By: E. Iacocca *, R. Dumas *, L. Bookman n, M. Mohseni *, S. Chung *, M. Hoefer n, J. Akerman *

TL;DR: Numerical and asymptotic analyses are used to demonstrate the existence and properties of novel solitons in confined structures and open up new possibilities for the study of low-dimensionalsolitons and droplet applications in nanostructures. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Interactions of large amplitude solitary waves in viscous fluid conduits

JOURNAL OF FLUID MECHANICS, 750, 372–384.

By: N. Lowman n, M. Hoefer n & G. El *

author keywords: pattern formation; solitary waves; Stokesian dynamics
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Shock Waves in Dispersive Eulerian Fluids

JOURNAL OF NONLINEAR SCIENCE, 24(3), 525–577.

By: M. Hoefer n

author keywords: Dispersive shock wave; Riemann problem; Whitham averaging; Dispersive Euler equations; Generalized nonlinear Schrodinger equation
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2014 article

Spin transfer torque generated magnetic droplet solitons (invited)

Chung, S., Mohseni, S. M., Sani, S. R., Iacocca, E., Dumas, R. K., Nguyen, T. N. A., … Akerman, J. (2014, May 7). JOURNAL OF APPLIED PHYSICS, Vol. 115.

By: S. Chung*, S. Mohseni *, S. Sani*, E. Iacocca *, R. Dumas *, T. Nguyen, Y. Pogoryelov *, P. Muduli * ...

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Analytical theory of modulated magnetic solitons

PHYSICAL REVIEW B, 88(18).

By: L. Bookman n & M. Hoefer n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Dispersive hydrodynamics in viscous fluid conduits

PHYSICAL REVIEW E, 88(2).

By: N. Lowman n & M. Hoefer n

TL;DR: A derivation of the interfacial equation via a multiple scales, perturbation technique results in a scalar, nonlinear partial differential equation describing large amplitude dynamics of the cross-sectional area of the intrusive fluid conduit, in agreement with previous derivations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Dispersive shock waves in viscously deformable media

JOURNAL OF FLUID MECHANICS, 718, 524–557.

By: N. Lowman n & M. Hoefer n

author keywords: magma and lava flow; shock waves; solitary waves
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Fermionic shock waves: Distinguishing dissipative versus dispersive regularizations

PHYSICAL REVIEW A, 88(1).

By: N. Lowman n & M. Hoefer n

UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Spin Torque-Generated Magnetic Droplet Solitons

SCIENCE, 339(6125), 1295–1298.

By: S. Mohseni *, S. Sani*, J. Persson *, T. Nguyen, S. Chung*, Y. Pogoryelov *, P. Muduli *, E. Iacocca * ...

TL;DR: The generation of dissipative magnetic droplet solitons is observed and reported on their rich dynamical properties and is expected to have applications in spintronics, magnonics, and PMA-based domain-wall devices. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Beating dark-dark solitons in Bose-Einstein condensates

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 45(11).

By: D. Yan *, J. Chang*, C. Hamner*, M. Hoefer n, P. Kevrekidis*, P. Engels *, V. Achilleos *, D. Frantzeskakis *, J. Cuevas *

UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

DARK SOLITONS, DISPERSIVE SHOCK WAVES, AND TRANSVERSE INSTABILITIES

MULTISCALE MODELING & SIMULATION, 10(2), 306–341.

By: M. Hoefer n & B. Ilan *

author keywords: semiclassical regime; traveling waves; vortices; Bose-Einstein condensates; nonlinear topics
TL;DR: The nature of transverse instabilities of dark solitons for the (2+1)-dimensional defocusing nonlinear Schrodinger/Gross–Pitaevskii˘ (NLS/GP) equation is considered and analytically and numerically the eigenvalues of the linearized NLS/ GP equation are studied. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Propagating two-dimensional magnetic droplets

PHYSICA D-NONLINEAR PHENOMENA, 241(9), 890–901.

By: M. Hoefer n & M. Sommacal  n

author keywords: Landau-Lifshitz equation; Ferromagnetic materials; Spin waves; Magnetic droplet; Dynamics of domain structures; Solitary waves
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Propagation and control of nanoscale magnetic-droplet solitons

PHYSICAL REVIEW B, 85(21).

By: M. Hoefer n, M. Sommacal  n & T. Silva *

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2011 journal article

DEFECT MODES AND HOMOGENIZATION OF PERIODIC SCHRODINGER OPERATORS

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 43(2), 971–996.

By: M. Hoefer n & M. Weinstein  n

author keywords: multiple scales; Lyapunov-Schmidt reduction; eigenvalue bifurcation; spectral band edge
TL;DR: For e> 0 and sufficiently small, discrete eigenvalues may bifurcate from spectral band edges of the periodic Schrodinger operator, H0 = −Δx + V (x) + e2Q(ex), into spectral gaps. (via Semantic Scholar)
UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Dark-dark solitons and modulational instability in miscible two-component Bose-Einstein condensates

PHYSICAL REVIEW A, 84(4).

By: M. Hoefer n, J. Chang*, C. Hamner* & P. Engels *

UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Generation of Dark-Bright Soliton Trains in Superfluid-Superfluid Counterflow

PHYSICAL REVIEW LETTERS, 106(6).

By: C. Hamner*, J. Chang*, P. Engels * & M. Hoefer n

TL;DR: The first experimental observation of trains of dark-bright solitons generated by the counterflow is presented, theoretically interpreted by three-dimensional numerical simulations for the coupled Gross-Pitaevskii equations and the analysis of a jump in the two relatively flowing components' densities. (via Semantic Scholar)
UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Semiclassical dynamics of quasi-one-dimensional, attractive Bose-Einstein condensates

PHYSICS LETTERS A, 375(3), 726–732.

By: A. Tovbis * & M. Hoefer n

UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Theory for a dissipative droplet soliton excited by a spin torque nanocontact

PHYSICAL REVIEW B, 82(5).

By: M. Hoefer n, T. Silva * & M. Keller *

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Theory of two-dimensional oblique dispersive shock waves in supersonic flow of a superfluid

PHYSICAL REVIEW A, 80(6).

By: M. Hoefer* & B. Ilan *

UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

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