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Forest, Mark Gregory

Author ID: forest.mark-gregory Recent zbMATH articles by "Forest, Mark Gregory"
Published as: Forest, M. Gregory; Forest, M. G.; Forest, M.
Documents Indexed: 102 Publications since 1980
Co-Authors: 102 Co-Authors with 102 Joint Publications
2,104 Co-Co-Authors
all top 5

Co-Authors

0 single-authored
28 Wang, Qi
16 Zhou, Ruhai
14 McLaughlin, David W.
13 Bechtel, Stephen E.
13 Zhou, Hong
8 Ercolani, Nicholas M.
7 Yang, Xiaofeng
6 Wright, Otis Clarence III
5 Sinha, Amarendra Nath
4 Hill, David B.
4 Lindley, Brandon S.
4 Mucha, Peter J.
3 Lai, Samuel K.
3 Mitran, Sorin M.
3 Rooney, Francis J.
3 Shen, Jie
3 Sheu, Shin-Pyng
3 Shi, Feng
3 Wang, Hongyun
2 Bishop, Alan Reginald
2 Chen, Alex W. J.
2 Cui, Zhenlu
2 Elston, Timothy C.
2 Flesch, Randy
2 Goedde, Christopher G.
2 Heidenreich, Sebastian
2 Heroy, Samuel
2 Hess, Siegfried
2 Lee, Joohee
2 Lipton, Robert P.
2 Liu, Chun
2 McLaughlin, Kenneth D. T.-R.
2 McLaughlin, Richard M.
2 Newby, Jay M.
2 Overman, Edward A. II
2 Petersson, N. Anders
2 Smith, Breannan D.
2 Superfine, Richard
2 Taylor, Dane
2 Wang, Simi
2 Wessler, Timothy
2 Xu, Ke
2 Yao, Lingxing
2 Zheng, Xiaoyu
1 Anderson, Daniel M.
1 Aristotelous, Andreas C.
1 Bogy, David B.
1 Bolinger, K. D.
1 Boucher, Richard C.
1 Brown, David Leslie
1 Button, Brian
1 Calderer, Maria-Carme T.
1 Camassa, Roberto
1 Cao, Yanguang
1 Carlson, C. D.
1 Chen, Falai
1 Chillingworth, David R.
1 Choate, Eric P.
1 Christiansen, Peter Leth
1 Cooper, Jeffrey A.
1 Cribb, Jeremy
1 Flaschka, Hermann
1 Freeman, Ronit
1 Fricks, John
1 Garcia, Guilherme J. M.
1 Gasior, Kelsey
1 Gladfelter, A. S.
1 Herschlag, Gregory J.
1 Holm, Darryl Dallas
1 Howell, Eddie Lee
1 Jensen, Melanie A.
1 Ji, Guanghua
1 Klapper, Isaac
1 Lauterbach, Reiner
1 Lee, Jong-Eao
1 Li, Huiyuan
1 Li, Jun
1 Ling, Yun
1 Lysy, Martin
1 Mckinley, Scott A.
1 Miller, Brian J.
1 Montgomery, Richard
1 Mullins, William
1 Muraki, David J.
1 Parmentier, Robert D.
1 Pearson, Jason
1 Phuworawong, Panon
1 Pickles, Raymond
1 Qi, Wang
1 Reichard, D. L.
1 Reinhardt, Benjamin
1 Rosenberg, C-J
1 Rubinstein, Gregory J.
1 Seim, Ian
1 Shi, F. Bill
1 Sircar, Sarthok
1 Sørensen, Mads Peter
1 Talkington, Anne M.
1 Tarran, Robert
1 Ueda, Tetsuji
...and 2 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 939 times in 617 Documents Cited by Year
Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation. Zbl 0454.35080
Flaschka, H.; Forest, M. G.; McLaughlin, D. W.
181
1980
Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation. Zbl 0705.58026
Ercolani, N.; Forest, M. G.; McLaughlin, David W.
70
1990
Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint. Zbl 0498.35072
Forest, M. Gregory; McLaughlin, David W.
57
1982
A quasi-periodic route to chaos in a near-integrable PDE. Zbl 0616.65135
Bishop, A. R.; Forest, M. G.; McLaughlin, D. W.; Overman, E. A. II
35
1986
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145
Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.
32
2000
On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system. Zbl 0971.37035
Wright, Otis C.; Forest, M. Gregory
32
2000
Modulations of Sinh-Gordon and Sine-Gordon wavetrains. Zbl 0541.35071
Forest, M. Gregory; McLaughlin, David W.
28
1983
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. Zbl 1286.65112
Yang, Xiaofeng; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai
27
2013
Geometry and modulation theory for the periodic nonlinear Schrödinger equation. Zbl 0615.35003
Forest, M. Gregory; Lee, Jong-Eao
25
1986
Correlations between chaos in a perturbed sine-Gordon equation and a truncated model system. Zbl 0718.35086
Bishop, Alan R.; Flesch, Randy; Forest, M. Gregory; McLaughlin, David W.; Overman, Edward A.
24
1990
The geometry of real sine-Gordon wavetrains. Zbl 0591.35065
Ercolani, Nicholas M.; Forest, M. Gregory
23
1985
Shear cell rupture of nematic liquid crystal droplets in viscous fluids. Zbl 1282.76061
Yang, Xiaofeng; Forest, M. Gregory; Liu, Chun; Shen, Jie
19
2011
Connections between stability, convexity of internal energy, and the second law for compressible Newtonian fluids. Zbl 1111.74325
Bechtel, Stephen E.; Rooney, Francis J.; Forest, M. Gregory
16
2005
A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation. Zbl 1080.35035
Zhou, Hong; Wang, Hongyun; Forest, M. Gregory; Wang, Qi
16
2005
Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. Zbl 0668.35064
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R.
15
1987
Time-domain methods for diffusive transport in soft matter. Zbl 1186.62113
Fricks, John; Yao, Lingxing; Elston, Timothy C.; Forest, M. Gregory
14
2009
Modulational stability of two-phase sine-Gordon wavetrains. Zbl 0557.35120
Ercolani, Nicholas; Forest, M. Gregory; McLaughlin, David W.
14
1984
Numerical inverse spectral transform for the periodic sine-Gordon equation: Theta function solutions and their linearized stability. Zbl 0728.65098
Flesch, Randy; Forest, M. Gregory; Sinha, Amarendra
13
1991
Recovery of the Rayleigh capillary instability from slender 1-D inviscid and viscous models. Zbl 1026.76525
Bechtel, S. E.; Carlson, C. D.; Forest, M. G.
12
1995
On the construction of orbits homoclinic to plane waves in integrable coupled nonlinear Schrödinger systems. Zbl 0949.37042
Forest, M. Gregory; Sheu, S. P.; Wright, Otis C.
11
2000
Thermal expansion models of viscous fluids based on limits of free energy. Zbl 1186.76049
Bechtel, S. E.; Forest, M. G.; Rooney, F. J.; Wang, Q.
10
2003
Practical application of a higher order perturbation theory for slender viscoelastic jets and fibers. Zbl 0747.76016
Bechtel, S. E.; Cao, J. Z.; Forest, M. G.
10
1992
Modulations of perturbed KdV wavetrains. Zbl 0552.35070
Forest, M. Gregory; McLaughlin, David W.
10
1984
The origin and saturation of modulational instabilities. Zbl 0596.35112
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.
10
1986
Kinetic structure simulations of nematic polymers in plane Couette cells. I: The algorithm and benchmarks. Zbl 1108.76010
Zhou, Ruhai; Forest, M. Gregory; Wang, Qi
10
2005
Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers. Zbl 0895.35094
Forest, M. G.; McLaughlin, K. T.-R.
9
1998
Unsteady analyses of thermal glass fibre drawing processes. Zbl 1055.76020
Forest, M. Gregory; Zhou, Hong
9
2001
Modulational instability of periodic sine Gordon waves: a geometric analysis. Zbl 0597.58011
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.
8
1986
Kinetic structure simulations of nematic polymers in plane Couette cells. II: In-plane structure transitions. Zbl 1236.76008
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
8
2005
Characterization of stable kinetic equilibria of rigid, dipolar rod ensembles for coupled dipole-dipole and Maier-Saupe potentials. Zbl 1117.35306
Zhou, Hong; Wang, Hongyun; Wang, Qi; Forest, M. Gregory
7
2007
One-dimensional closure models for three-dimensional incompressible viscoelastic free jets: Von Kármán flow geometry and elliptical cross-section. Zbl 0656.76005
Bechtel, S. E.; Forest, M. G.; Holm, D. D.; Lin, K. J.
7
1988
Dynamics of slender viscoelastic free jets. Zbl 0829.76007
Forest, M. Gregory; Wang, Q.
7
1994
Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows. Zbl 1149.76378
Forest, M. Gregory; Wang, Qi; Zhou, Hong
7
2000
Scaling behavior of kinetic orientational distributions for dilute nematic polymers in weak shear. Zbl 1106.76331
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
7
2004
Numerical evidence for global bifurcations leading to switching phenomena in long Josephson junctions. Zbl 0709.35519
Forest, M. G.; Pagano, S.; Parmentier, R. D.; Christiansen, P. L.; Soerensen, M. P.; Sheu, S.-P.
6
1990
Dimensional robustness and instability of sheared, semidilute, nanorod dispersions. Zbl 1277.76005
Yang, Xiaofeng; Cui, Zhenlu; Forest, M. Gregory; Wang, Qi; Shen, Jie
6
2008
Gregory Internal constraint theories for the thermal expansion of viscous fluids. Zbl 1211.76004
Bechtel, Stephen E.; Rooney, Francis J.; Forest, M. Gregory
6
2004
Torsional effects in high-order viscoelastic thin-filament models. Zbl 0814.34042
Bechtel, S. E.; Bolinger, K. D.; Cao, J. Z.; Forest, M. G.
6
1995
Extensions of the ferry shear wave model for active linear and nonlinear microrheology. Zbl 1293.76033
Mitran, Sorin M.; Forest, M. Gregory; Yao, Lingxing; Lindley, Brandon; Hill, David B.
6
2008
Strongly nonlinear modal equations for nearly integrable PDEs. Zbl 0797.35144
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.; Sinha, A.
6
1993
Chaotic transport and integrable instabilities in a near-integrable, many-particle, Hamiltonian lattice. Zbl 0795.35102
Forest, M. Gregory; Goedde, Christopher G.; Sinha, Amarendra
6
1993
Thermotropic liquid crystalline polymer fibers. Zbl 1136.76312
Forest, M. Gregory; Zhou, Hong; Wang, Qi
6
2000
Change-of-type behavior in viscoelastic slender jet models. Zbl 0708.76026
Forest, M. Gregory; Wang, Qi
5
1990
On the correspondence between creeping flows of viscous and viscoelastic fluids. Zbl 1195.76071
Xu, Ke; Forest, M. Gregory; Klapper, Isaac
5
2007
Monodomain dynamics for rigid rod and platelet suspensions in strongly coupled coplanar linear flow and magnetic fields. II. Kinetic theory. Zbl 1185.76896
Forest, M. Gregory; Sircar, Sarthok; Wang, Qi; Zhou, Ruhai
5
2006
On the exact solution of the geometric optics approximation of the defocusing nonlinear Schrödinger equation. Zbl 1044.78512
Wright, Otis C.; Forest, M. Gregory; McLaughlin, K. T.-R.
5
1999
An integrable model for stable/unstable wave coupling phenomena. Zbl 1011.74038
Forest, M. Gregory; Wright, Otis C.
5
2003
A one-dimensional theory for viscoelastic fluid jets, with application to extrudate swell and draw-down under gravity. Zbl 0617.76009
Bechtel, S. E.; Forest, M. G.; Bogy, D. B.
4
1986
Robustness of pulsating jet-like layers in sheared nano-rod dispersions. Zbl 1274.76025
Forest, M. Gregory; Heidenreich, Sebastian; Hess, Siegfried; Yang, Xiaofeng; Zhou, Ruhai
4
2008
Oscillations and instabilities in near integrable PDE’s. Zbl 0605.35079
Ercolani, N.; Forest, M.; McLaughlin, D. W.
4
1986
Computation and stability of fluxons in a singularly perturbed sine- Gordon model of the Josephson junction. Zbl 0808.34064
Brown, David L.; Forest, M. Gregory; Miller, Brian J.; Petersson, N. Anders
4
1994
Monodomain response of arbitrary aspect ratio nematic polymers in general linear planar flows. Zbl 1130.76317
Forest, M. Gregory; Wang, Qi; Zhou, Ruhai; Choate, Eric P.
4
2004
Nano-rod suspension flows: a 2D Smoluchowski-Navier-Stokes solver. Zbl 1148.76057
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
3
2007
Anchoring-induced texture & shear banding of nematic polymers in shear cells. Zbl 1220.82187
Zhou, Hong; Forest, M. Gregory; Qi, Wang
3
2007
Stress communication and filtering of viscoelastic layers in oscillatory shear. Zbl 1274.76116
Lindley, Brandon; Howell, Eddie Lee; Smith, Breannan D.; Rubinstein, Gregory J.; Forest, M. Gregory; Mitran, Sorin M.; Hill, David B.; Superfine, Richard
3
2009
Percolation-induced exponential scaling in the large current tails of random resistor networks. Zbl 1288.82030
Shi, Feng; Wang, Simi; Forest, M. Gregory; Mucha, Peter J.
3
2013
Quench sensitivity to defects and shear banding in nematic polymer film flows. Zbl 1274.76152
Yang, Xiaofeng; Forest, M. Gregory; Mullins, William; Wang, Qi
3
2009
On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles. Zbl 1136.76311
Cui, Zhenlu; Forest, M. Gregory; Wang, Qi; Zhou, Hong
3
2006
Alignment and rheo-oscillator criteria for sheared nematic polymer films in the monolayer limit. Zbl 1236.76009
Lee, Joo Hee; Forest, M. Gregory; Zhou, Ruhai
3
2006
Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos. Zbl 1151.76366
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
3
2007
Frequency and phase locking of spatially periodic perturbed sine-Gordon breather trains. Zbl 0753.34042
Forest, M. Gregory; Sheu, S.-P.; Sinha, Amarendra
2
1992
On the behavior of viscoelastic free jets with elliptical cross sections. Zbl 0646.76010
Bechtel, S. E.; Lin, K. J.; Forest, M. G.
2
1988
Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003
Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai
2
2007
Dynamic texture scaling of sheared nematic polymers in the large Ericksen number limit. Zbl 1274.76148
Forest, M. Gregory; Heidenreich, Sebastian; Hess, Siegfried; Yang, Xiaofeng; Zhou, Ruhai
2
2010
Network-based assessments of percolation-induced current distributions in sheared rod macromolecular dispersions. Zbl 1320.82068
Shi, Feng; Wang, Simi; Forest, M. Gregory; Mucha, Peter J.; Zhou, Ruhai
2
2014
The role of microstructure in taming the Rayleigh capillary instability of cylindrical jets. Zbl 0956.76029
Forest, M. Gregory; Wang, Qi
2
1998
Thermomechanical equations governing a material with prescribed temperature-dependent density with application to nonisothermal plane Poiseuille flow. Zbl 1002.74518
Cao, D.; Bechtel, S. E.; Forest, M. G.
2
1996
A numerical study of nearly integrable modulation equations. Zbl 0849.35118
Forest, M. Gregory; Sinha, Amarendra
2
1994
1-D models for thin filaments of liquid-crystalline polymers: coupling of orientation and flow in the stability of simple solutions. Zbl 0900.82108
Forest, M. Gregory; Wang, Qi; Bechtel, Stephen E.
2
1997
An anelastic, scale-separated model for mixing, with application to atmospheric transport phenomena. Zbl 1147.76458
McLaughlin, Richard M.; Forest, M. Gregory
2
1999
Anchoring distortions copled with plane Couette and Poiseuille flows of nematic polymers in viscous solvents: morphology in molecular orientation, stress and flow. Zbl 1236.76010
Zhou, Hong; Forest, M. Gregory
2
2006
Computational study of a weakly compressible mixing barrier in low Prandtl number, strongly stratified fluids. Zbl 1186.76359
Mclaughlin, Richard M.; Zhou, Hong; Forest, M. Gregory
1
2003
Dipole-induced, first-order phase transitions of nano-rod monolayers. Zbl 1220.82020
Lee, Joohee; Forest, M. Gregory; Wang, Qi; Zhou, Ruhai
1
2008
On the exact solution for smooth pulses of the defocusing nonlinear Schrödinger modulation equations prior to breaking. Zbl 1173.35683
Forest, M. G.; Rosenberg, C-J; Wright, O. C. III
1
2009
Nematic liquids in weak capillary Poiseuille flow: structure scaling laws and effective conductivity implications. Zbl 1132.82018
Zhou, Hong; Forest, M. Gregory
1
2007
Spatial stress and strain distributions of viscoelastic layers in oscillatory shear. Zbl 1348.76025
Lindley, Brandon S.; Forest, M. Gregory; Smith, Breannan D.; Mitran, Sorin M.; Hill, David B.
1
2012
Shearing the I-N phase transition of liquid crystalline polymers: long-time memory of defect initial data. Zbl 1402.82023
Xu, Ke; Forest, M. Gregory; Yang, Xiaofeng
1
2011
A mechanochemical model for auto-regulation of lung airway surface layer volume. Zbl 1314.92047
Herschlag, Gregory; Garcia, Guilherme J. M.; Button, Brian; Tarran, Robert; Lindley, Brandon; Reinhardt, Benjamin; Elston, Timothy C.; Forest, M. Gregory
1
2013
Kinetic theories and mesoscopic models for solutions of nonhomogeneous liquid crystal polymers. Zbl 1143.76373
Calderer, M. Carme; Forest, M. Gregory; Wang, Qi
1
2004
A model for a spreading and melting droplet on a heated substrate. Zbl 0995.76094
Anderson, D. M.; Forest, M. G.; Superfine, R.
1
2001
Anisotropy and heterogeneity of nematic polymer nano-composite film properties. Zbl 1181.76026
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi; Zheng, Xiaoyu; Lipton, Robert
1
2005
Rigid graph compression: motif-based rigidity analysis for disordered fiber networks. Zbl 1401.60178
Heroy, Samuel; Taylor, Dane; Shi, F. Bill; Forest, M. Gregory; Mucha, Peter J.
1
2018
A hybrid discrete-continuum model of immune responses to SARS-CoV-2 infection in the lung alveolar region, with a focus on interferon induced innate response. Zbl 07614397
Aristotelous, Andreas C.; Chen, Alex; Forest, M. Gregory
1
2022
Effects of symmetry on instability-driven chaotic energy transport in near-integrable, Hamiltonian systems. Zbl 0811.65114
Forest, M. Gregory; Goedde, Christopher G.; Sinha, Amarendra
1
1994
Methods for the exact construction of mesoscale spatial structures in liquid crystal polymers. Zbl 0972.82582
Forest, M. Gregory; Wang, Qi; Zhou, Hong
1
2001
A new model to determine dynamic surface tension and elongational viscosity using oscillating jet measurements. Zbl 0850.76164
Bechtel, S. E.; Cooper, J. A.; Forest, M. G.; Petersson, N. A.; Reichard, D. L.; Saleh, A.; Venkataramanan, V.
1
1995
Rheological signatures in limit cycle behaviour of dilute active, polar liquid crystalline polymers in steady shear. Zbl 1353.82075
Forest, M. Gregory; Phuworawong, Panon; Wang, Qi; Zhou, Ruhai
1
2014
Modeling the mechanisms by which coexisting biomolecular RNA-protein condensates form. Zbl 1457.92060
Gasior, K.; Forest, M. G.; Gladfelter, A. S.; Newby, J. M.
1
2020
A hybrid discrete-continuum model of immune responses to SARS-CoV-2 infection in the lung alveolar region, with a focus on interferon induced innate response. Zbl 07614397
Aristotelous, Andreas C.; Chen, Alex; Forest, M. Gregory
1
2022
Modeling the mechanisms by which coexisting biomolecular RNA-protein condensates form. Zbl 1457.92060
Gasior, K.; Forest, M. G.; Gladfelter, A. S.; Newby, J. M.
1
2020
Rigid graph compression: motif-based rigidity analysis for disordered fiber networks. Zbl 1401.60178
Heroy, Samuel; Taylor, Dane; Shi, F. Bill; Forest, M. Gregory; Mucha, Peter J.
1
2018
Network-based assessments of percolation-induced current distributions in sheared rod macromolecular dispersions. Zbl 1320.82068
Shi, Feng; Wang, Simi; Forest, M. Gregory; Mucha, Peter J.; Zhou, Ruhai
2
2014
Rheological signatures in limit cycle behaviour of dilute active, polar liquid crystalline polymers in steady shear. Zbl 1353.82075
Forest, M. Gregory; Phuworawong, Panon; Wang, Qi; Zhou, Ruhai
1
2014
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. Zbl 1286.65112
Yang, Xiaofeng; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai
27
2013
Percolation-induced exponential scaling in the large current tails of random resistor networks. Zbl 1288.82030
Shi, Feng; Wang, Simi; Forest, M. Gregory; Mucha, Peter J.
3
2013
A mechanochemical model for auto-regulation of lung airway surface layer volume. Zbl 1314.92047
Herschlag, Gregory; Garcia, Guilherme J. M.; Button, Brian; Tarran, Robert; Lindley, Brandon; Reinhardt, Benjamin; Elston, Timothy C.; Forest, M. Gregory
1
2013
Spatial stress and strain distributions of viscoelastic layers in oscillatory shear. Zbl 1348.76025
Lindley, Brandon S.; Forest, M. Gregory; Smith, Breannan D.; Mitran, Sorin M.; Hill, David B.
1
2012
Shear cell rupture of nematic liquid crystal droplets in viscous fluids. Zbl 1282.76061
Yang, Xiaofeng; Forest, M. Gregory; Liu, Chun; Shen, Jie
19
2011
Shearing the I-N phase transition of liquid crystalline polymers: long-time memory of defect initial data. Zbl 1402.82023
Xu, Ke; Forest, M. Gregory; Yang, Xiaofeng
1
2011
Dynamic texture scaling of sheared nematic polymers in the large Ericksen number limit. Zbl 1274.76148
Forest, M. Gregory; Heidenreich, Sebastian; Hess, Siegfried; Yang, Xiaofeng; Zhou, Ruhai
2
2010
Time-domain methods for diffusive transport in soft matter. Zbl 1186.62113
Fricks, John; Yao, Lingxing; Elston, Timothy C.; Forest, M. Gregory
14
2009
Stress communication and filtering of viscoelastic layers in oscillatory shear. Zbl 1274.76116
Lindley, Brandon; Howell, Eddie Lee; Smith, Breannan D.; Rubinstein, Gregory J.; Forest, M. Gregory; Mitran, Sorin M.; Hill, David B.; Superfine, Richard
3
2009
Quench sensitivity to defects and shear banding in nematic polymer film flows. Zbl 1274.76152
Yang, Xiaofeng; Forest, M. Gregory; Mullins, William; Wang, Qi
3
2009
On the exact solution for smooth pulses of the defocusing nonlinear Schrödinger modulation equations prior to breaking. Zbl 1173.35683
Forest, M. G.; Rosenberg, C-J; Wright, O. C. III
1
2009
Dimensional robustness and instability of sheared, semidilute, nanorod dispersions. Zbl 1277.76005
Yang, Xiaofeng; Cui, Zhenlu; Forest, M. Gregory; Wang, Qi; Shen, Jie
6
2008
Extensions of the ferry shear wave model for active linear and nonlinear microrheology. Zbl 1293.76033
Mitran, Sorin M.; Forest, M. Gregory; Yao, Lingxing; Lindley, Brandon; Hill, David B.
6
2008
Robustness of pulsating jet-like layers in sheared nano-rod dispersions. Zbl 1274.76025
Forest, M. Gregory; Heidenreich, Sebastian; Hess, Siegfried; Yang, Xiaofeng; Zhou, Ruhai
4
2008
Dipole-induced, first-order phase transitions of nano-rod monolayers. Zbl 1220.82020
Lee, Joohee; Forest, M. Gregory; Wang, Qi; Zhou, Ruhai
1
2008
Characterization of stable kinetic equilibria of rigid, dipolar rod ensembles for coupled dipole-dipole and Maier-Saupe potentials. Zbl 1117.35306
Zhou, Hong; Wang, Hongyun; Wang, Qi; Forest, M. Gregory
7
2007
On the correspondence between creeping flows of viscous and viscoelastic fluids. Zbl 1195.76071
Xu, Ke; Forest, M. Gregory; Klapper, Isaac
5
2007
Nano-rod suspension flows: a 2D Smoluchowski-Navier-Stokes solver. Zbl 1148.76057
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
3
2007
Anchoring-induced texture & shear banding of nematic polymers in shear cells. Zbl 1220.82187
Zhou, Hong; Forest, M. Gregory; Qi, Wang
3
2007
Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos. Zbl 1151.76366
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
3
2007
Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003
Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai
2
2007
Nematic liquids in weak capillary Poiseuille flow: structure scaling laws and effective conductivity implications. Zbl 1132.82018
Zhou, Hong; Forest, M. Gregory
1
2007
Monodomain dynamics for rigid rod and platelet suspensions in strongly coupled coplanar linear flow and magnetic fields. II. Kinetic theory. Zbl 1185.76896
Forest, M. Gregory; Sircar, Sarthok; Wang, Qi; Zhou, Ruhai
5
2006
On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles. Zbl 1136.76311
Cui, Zhenlu; Forest, M. Gregory; Wang, Qi; Zhou, Hong
3
2006
Alignment and rheo-oscillator criteria for sheared nematic polymer films in the monolayer limit. Zbl 1236.76009
Lee, Joo Hee; Forest, M. Gregory; Zhou, Ruhai
3
2006
Anchoring distortions copled with plane Couette and Poiseuille flows of nematic polymers in viscous solvents: morphology in molecular orientation, stress and flow. Zbl 1236.76010
Zhou, Hong; Forest, M. Gregory
2
2006
Connections between stability, convexity of internal energy, and the second law for compressible Newtonian fluids. Zbl 1111.74325
Bechtel, Stephen E.; Rooney, Francis J.; Forest, M. Gregory
16
2005
A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation. Zbl 1080.35035
Zhou, Hong; Wang, Hongyun; Forest, M. Gregory; Wang, Qi
16
2005
Kinetic structure simulations of nematic polymers in plane Couette cells. I: The algorithm and benchmarks. Zbl 1108.76010
Zhou, Ruhai; Forest, M. Gregory; Wang, Qi
10
2005
Kinetic structure simulations of nematic polymers in plane Couette cells. II: In-plane structure transitions. Zbl 1236.76008
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
8
2005
Anisotropy and heterogeneity of nematic polymer nano-composite film properties. Zbl 1181.76026
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi; Zheng, Xiaoyu; Lipton, Robert
1
2005
Scaling behavior of kinetic orientational distributions for dilute nematic polymers in weak shear. Zbl 1106.76331
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
7
2004
Gregory Internal constraint theories for the thermal expansion of viscous fluids. Zbl 1211.76004
Bechtel, Stephen E.; Rooney, Francis J.; Forest, M. Gregory
6
2004
Monodomain response of arbitrary aspect ratio nematic polymers in general linear planar flows. Zbl 1130.76317
Forest, M. Gregory; Wang, Qi; Zhou, Ruhai; Choate, Eric P.
4
2004
Kinetic theories and mesoscopic models for solutions of nonhomogeneous liquid crystal polymers. Zbl 1143.76373
Calderer, M. Carme; Forest, M. Gregory; Wang, Qi
1
2004
Thermal expansion models of viscous fluids based on limits of free energy. Zbl 1186.76049
Bechtel, S. E.; Forest, M. G.; Rooney, F. J.; Wang, Q.
10
2003
An integrable model for stable/unstable wave coupling phenomena. Zbl 1011.74038
Forest, M. Gregory; Wright, Otis C.
5
2003
Computational study of a weakly compressible mixing barrier in low Prandtl number, strongly stratified fluids. Zbl 1186.76359
Mclaughlin, Richard M.; Zhou, Hong; Forest, M. Gregory
1
2003
Unsteady analyses of thermal glass fibre drawing processes. Zbl 1055.76020
Forest, M. Gregory; Zhou, Hong
9
2001
A model for a spreading and melting droplet on a heated substrate. Zbl 0995.76094
Anderson, D. M.; Forest, M. G.; Superfine, R.
1
2001
Methods for the exact construction of mesoscale spatial structures in liquid crystal polymers. Zbl 0972.82582
Forest, M. Gregory; Wang, Qi; Zhou, Hong
1
2001
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145
Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.
32
2000
On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system. Zbl 0971.37035
Wright, Otis C.; Forest, M. Gregory
32
2000
On the construction of orbits homoclinic to plane waves in integrable coupled nonlinear Schrödinger systems. Zbl 0949.37042
Forest, M. Gregory; Sheu, S. P.; Wright, Otis C.
11
2000
Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows. Zbl 1149.76378
Forest, M. Gregory; Wang, Qi; Zhou, Hong
7
2000
Thermotropic liquid crystalline polymer fibers. Zbl 1136.76312
Forest, M. Gregory; Zhou, Hong; Wang, Qi
6
2000
On the exact solution of the geometric optics approximation of the defocusing nonlinear Schrödinger equation. Zbl 1044.78512
Wright, Otis C.; Forest, M. Gregory; McLaughlin, K. T.-R.
5
1999
An anelastic, scale-separated model for mixing, with application to atmospheric transport phenomena. Zbl 1147.76458
McLaughlin, Richard M.; Forest, M. Gregory
2
1999
Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers. Zbl 0895.35094
Forest, M. G.; McLaughlin, K. T.-R.
9
1998
The role of microstructure in taming the Rayleigh capillary instability of cylindrical jets. Zbl 0956.76029
Forest, M. Gregory; Wang, Qi
2
1998
1-D models for thin filaments of liquid-crystalline polymers: coupling of orientation and flow in the stability of simple solutions. Zbl 0900.82108
Forest, M. Gregory; Wang, Qi; Bechtel, Stephen E.
2
1997
Thermomechanical equations governing a material with prescribed temperature-dependent density with application to nonisothermal plane Poiseuille flow. Zbl 1002.74518
Cao, D.; Bechtel, S. E.; Forest, M. G.
2
1996
Recovery of the Rayleigh capillary instability from slender 1-D inviscid and viscous models. Zbl 1026.76525
Bechtel, S. E.; Carlson, C. D.; Forest, M. G.
12
1995
Torsional effects in high-order viscoelastic thin-filament models. Zbl 0814.34042
Bechtel, S. E.; Bolinger, K. D.; Cao, J. Z.; Forest, M. G.
6
1995
A new model to determine dynamic surface tension and elongational viscosity using oscillating jet measurements. Zbl 0850.76164
Bechtel, S. E.; Cooper, J. A.; Forest, M. G.; Petersson, N. A.; Reichard, D. L.; Saleh, A.; Venkataramanan, V.
1
1995
Dynamics of slender viscoelastic free jets. Zbl 0829.76007
Forest, M. Gregory; Wang, Q.
7
1994
Computation and stability of fluxons in a singularly perturbed sine- Gordon model of the Josephson junction. Zbl 0808.34064
Brown, David L.; Forest, M. Gregory; Miller, Brian J.; Petersson, N. Anders
4
1994
A numerical study of nearly integrable modulation equations. Zbl 0849.35118
Forest, M. Gregory; Sinha, Amarendra
2
1994
Effects of symmetry on instability-driven chaotic energy transport in near-integrable, Hamiltonian systems. Zbl 0811.65114
Forest, M. Gregory; Goedde, Christopher G.; Sinha, Amarendra
1
1994
Strongly nonlinear modal equations for nearly integrable PDEs. Zbl 0797.35144
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.; Sinha, A.
6
1993
Chaotic transport and integrable instabilities in a near-integrable, many-particle, Hamiltonian lattice. Zbl 0795.35102
Forest, M. Gregory; Goedde, Christopher G.; Sinha, Amarendra
6
1993
Practical application of a higher order perturbation theory for slender viscoelastic jets and fibers. Zbl 0747.76016
Bechtel, S. E.; Cao, J. Z.; Forest, M. G.
10
1992
Frequency and phase locking of spatially periodic perturbed sine-Gordon breather trains. Zbl 0753.34042
Forest, M. Gregory; Sheu, S.-P.; Sinha, Amarendra
2
1992
Numerical inverse spectral transform for the periodic sine-Gordon equation: Theta function solutions and their linearized stability. Zbl 0728.65098
Flesch, Randy; Forest, M. Gregory; Sinha, Amarendra
13
1991
Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation. Zbl 0705.58026
Ercolani, N.; Forest, M. G.; McLaughlin, David W.
70
1990
Correlations between chaos in a perturbed sine-Gordon equation and a truncated model system. Zbl 0718.35086
Bishop, Alan R.; Flesch, Randy; Forest, M. Gregory; McLaughlin, David W.; Overman, Edward A.
24
1990
Numerical evidence for global bifurcations leading to switching phenomena in long Josephson junctions. Zbl 0709.35519
Forest, M. G.; Pagano, S.; Parmentier, R. D.; Christiansen, P. L.; Soerensen, M. P.; Sheu, S.-P.
6
1990
Change-of-type behavior in viscoelastic slender jet models. Zbl 0708.76026
Forest, M. Gregory; Wang, Qi
5
1990
One-dimensional closure models for three-dimensional incompressible viscoelastic free jets: Von Kármán flow geometry and elliptical cross-section. Zbl 0656.76005
Bechtel, S. E.; Forest, M. G.; Holm, D. D.; Lin, K. J.
7
1988
On the behavior of viscoelastic free jets with elliptical cross sections. Zbl 0646.76010
Bechtel, S. E.; Lin, K. J.; Forest, M. G.
2
1988
Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. Zbl 0668.35064
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R.
15
1987
A quasi-periodic route to chaos in a near-integrable PDE. Zbl 0616.65135
Bishop, A. R.; Forest, M. G.; McLaughlin, D. W.; Overman, E. A. II
35
1986
Geometry and modulation theory for the periodic nonlinear Schrödinger equation. Zbl 0615.35003
Forest, M. Gregory; Lee, Jong-Eao
25
1986
The origin and saturation of modulational instabilities. Zbl 0596.35112
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.
10
1986
Modulational instability of periodic sine Gordon waves: a geometric analysis. Zbl 0597.58011
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.
8
1986
A one-dimensional theory for viscoelastic fluid jets, with application to extrudate swell and draw-down under gravity. Zbl 0617.76009
Bechtel, S. E.; Forest, M. G.; Bogy, D. B.
4
1986
Oscillations and instabilities in near integrable PDE’s. Zbl 0605.35079
Ercolani, N.; Forest, M.; McLaughlin, D. W.
4
1986
The geometry of real sine-Gordon wavetrains. Zbl 0591.35065
Ercolani, Nicholas M.; Forest, M. Gregory
23
1985
Modulational stability of two-phase sine-Gordon wavetrains. Zbl 0557.35120
Ercolani, Nicholas; Forest, M. Gregory; McLaughlin, David W.
14
1984
Modulations of perturbed KdV wavetrains. Zbl 0552.35070
Forest, M. Gregory; McLaughlin, David W.
10
1984
Modulations of Sinh-Gordon and Sine-Gordon wavetrains. Zbl 0541.35071
Forest, M. Gregory; McLaughlin, David W.
28
1983
Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint. Zbl 0498.35072
Forest, M. Gregory; McLaughlin, David W.
57
1982
Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation. Zbl 0454.35080
Flaschka, H.; Forest, M. G.; McLaughlin, D. W.
181
1980
all top 5

Cited by 801 Authors

42 Forest, Mark Gregory
23 Yang, Xiaofeng
22 Wang, Qi
21 El, Gennady A.
18 McLaughlin, David W.
15 Schober, Constance M.
14 Wright, Otis Clarence III
13 Ercolani, Nicholas M.
13 Hoefer, Mark A.
12 Feireisl, Eduard
11 Ablowitz, Mark Jay
10 Bechtel, Stephen E.
10 Miller, Peter D.
10 Zhao, Jia
8 Bikbaev, Ramil’ F.
8 Grinevich, Pëtr Georgievich
8 Osborne, Alfred R.
8 Smyth, Noel Frederick
8 Tovbis, Alexander
8 Zhou, Ruhai
7 Bronski, Jared C.
7 Geng, Xianguo
7 Kamchatnov, Anatoly M.
7 Levermore, C. David
7 Zhou, Hong
6 Mal’tsev, Andreĭ Yakovlevich
6 Wylie, Jonathan J.
6 Zhang, Pingwen
5 Biondini, Gino
5 Bobenko, Alexander Ivanovich
5 Calini, Annalisa M.
5 Enolskiĭ, Viktor Zelikovich
5 Grava, Tamara
5 Islas, Alvaro L.
5 Krichever, Igor’ Moiseevich
5 Ling, Liming
5 Maslov, Viktor Pavlovich
5 Mckinley, Scott A.
5 Santini, Paolo Maria
5 Shafarevich, Andreĭ Igorevich
5 Shen, Jie
5 Tian, Fei-Ran
4 Belokolos, Eugene D.
4 Dobrokhotov, Sergei Yurievich
4 Dubrovin, Boris Anatol’evich
4 Goedde, Christopher G.
4 Grimshaw, Roger Hamilton James
4 Guo, Rui
4 He, Xiaoming
4 Johnson, Mathew A.
4 Kuksin, Sergeĭ B.
4 Marheineke, Nicole
4 Novokshenov, Viktor Yur’evich
4 Pavlov, Maxim V.
4 Rooney, Francis J.
4 Roy Chowdhury, Asesh
4 Sun, Jianqing
4 Tian, Bo
4 Vereschagin, Vadim L.
4 Walker, Shawn W.
4 Wang, Dengshan
4 Wang, Hongyun
4 Wegener, Raimund
4 Xu, Tao
4 Zhang, Hui
4 Zhang, Yingnan
3 Bettelheim, Eldad
3 Bishop, Alan Reginald
3 Camassa, Roberto
3 Carroll, Robert Wayne
3 Congy, Thibault
3 Dai, Zhengde
3 De Angelis, Monica
3 Didier, Gustavo
3 Guo, Boling
3 He, Guoliang
3 Hill, David B.
3 Hu, Xingbiao
3 Huang, Debin
3 Huang, Huaxiong
3 Ivey, Thomas A.
3 Kofané, Timoléon Crépin
3 Kovačič, Gregor
3 Kuijlaars, Arno B. J.
3 Li, Xiantao
3 Li, Y. Charles
3 Lindley, Brandon S.
3 Marsden, Jerrold Eldon
3 Martín-Vaquero, Jesús
3 McLaughlin, Kenneth D. T.-R.
3 Miura, Robert M.
3 Mucha, Peter J.
3 Muñoz, Claudio
3 Novotný, Antonín
3 Palacios, José Manuel
3 Pan, Kejia
3 Previato, Emma
3 Samoĭlenko, Yuliya Ivanivna
3 Samoĭlenko, Valeriĭ Grygorovych
3 Shelley, Michael J.
...and 701 more Authors
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Cited in 142 Serials

99 Physica D
28 Physics of Fluids
25 Communications in Mathematical Physics
25 Physics Letters. A
22 Journal of Computational Physics
21 Journal of Fluid Mechanics
18 Journal of Mathematical Physics
15 Theoretical and Mathematical Physics
13 Chaos, Solitons and Fractals
13 Journal of Nonlinear Science
12 Studies in Applied Mathematics
10 Mathematical Notes
10 Journal of Physics A: Mathematical and Theoretical
9 Archive for Rational Mechanics and Analysis
9 Nonlinearity
9 Wave Motion
9 Journal of Non-Newtonian Fluid Mechanics
9 Communications in Nonlinear Science and Numerical Simulation
8 Communications on Pure and Applied Mathematics
8 Functional Analysis and its Applications
8 Mathematics and Computers in Simulation
8 Applied Mathematics Letters
6 Duke Mathematical Journal
6 Journal of Computational and Applied Mathematics
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Journal of Mathematical Sciences (New York)
6 Chaos
5 Journal of Mathematical Analysis and Applications
5 Applied Mathematics and Mechanics. (English Edition)
4 Computers & Mathematics with Applications
4 Applied Mathematics and Computation
4 Applied Numerical Mathematics
4 Journal of Scientific Computing
4 Abstract and Applied Analysis
3 Applicable Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 International Journal of Engineering Science
3 International Journal of Theoretical Physics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 Journal of Geometry and Physics
3 Journal of Differential Equations
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Applicandae Mathematicae
3 Journal of Dynamics and Differential Equations
3 SIAM Journal on Scientific Computing
3 Journal of Nonlinear Mathematical Physics
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Multiscale Modeling & Simulation
3 Journal of Statistical Mechanics: Theory and Experiment
3 Communications in Computational Physics
3 Journal of Theoretical Biology
3 Nonlinear Analysis. Theory, Methods & Applications
2 Computers and Fluids
2 Journal of Engineering Mathematics
2 Ukrainian Mathematical Journal
2 Mathematische Nachrichten
2 Communications in Partial Differential Equations
2 International Journal of Computer Mathematics
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Continuum Mechanics and Thermodynamics
2 Nonlinear Dynamics
2 European Journal of Mechanics. B. Fluids
2 International Journal of Modern Physics C
2 Acta Numerica
2 Chinese Journal of Physics (Taipei)
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Modern Physics Letters A
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 International Journal of Solids and Structures
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Physics Reports
1 Reviews of Modern Physics
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Theoretical and Computational Fluid Dynamics
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Quaestiones Mathematicae
1 Ricerche di Matematica
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Journal of Time Series Analysis
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
...and 42 more Serials
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Cited in 40 Fields

403 Partial differential equations (35-XX)
210 Fluid mechanics (76-XX)
174 Dynamical systems and ergodic theory (37-XX)
93 Numerical analysis (65-XX)
72 Statistical mechanics, structure of matter (82-XX)
43 Quantum theory (81-XX)
31 Ordinary differential equations (34-XX)
22 Mechanics of deformable solids (74-XX)
19 Optics, electromagnetic theory (78-XX)
16 Probability theory and stochastic processes (60-XX)
15 Algebraic geometry (14-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Differential geometry (53-XX)
11 Biology and other natural sciences (92-XX)
10 Special functions (33-XX)
10 Mechanics of particles and systems (70-XX)
9 Computer science (68-XX)
8 Geophysics (86-XX)
7 Difference and functional equations (39-XX)
5 Functions of a complex variable (30-XX)
5 Potential theory (31-XX)
5 Operator theory (47-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Statistics (62-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral equations (45-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

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