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Forest, M. Gregory

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Author ID: forest.m-gregory Recent zbMATH articles by "Forest, M. Gregory"
Published as: Forest, M.; Forest, M. G.; Forest, M. Gregory
Documents Indexed: 96 Publications since 1980
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 Lindley, Brandon S.
3 Hill, David B.
3 Mitran, Sorin M.
3 Mucha, Peter J.
3 Rooney, Francis J.
3 Shen, Jie
3 Sheu, Shin-Pyng
3 Wang, Hongyun
2 Bishop, Alan Reginald
2 Cui, Zhenlu
2 Elston, Timothy C.
2 Flesch, Randy
2 Goedde, Christopher G.
2 Heidenreich, Sebastian
2 Hess, Siegfried
2 Lee, Joohee
2 Lin, Kuo-Jen
2 Lipton, Robert P.
2 Liu, Chun
2 McLaughlin, Kenneth D. T.-R.
2 McLaughlin, Richard M.
2 Overman, Edward A. II
2 Petersson, N. Anders
2 Shi, Feng
2 Smith, Breannan D.
2 Superfine, Richard
2 Wang, Simi
2 Xu, Ke
2 Yao, Lingxing
2 Zheng, Xiaoyu
1 Anderson, David M.
1 Bogy, David B.
1 Bolinger, K. D.
1 Brown, David L.
1 Button, Brian
1 Calderer, Maria-Carme T.
1 Camassa, Roberto
1 Cao, Dapeng
1 Cao, Jianzhong
1 Cao, Junzhe
1 Carlson, C. D.
1 Chen, Falai
1 Choate, Eric P.
1 Christiansen, Peter Leth
1 Cooper, Jeffrey A.
1 Flaschka, Hermann
1 Fricks, John
1 Garcia, Guilherme J. M.
1 Gasior, Kelsey
1 Gladfelter, A. S.
1 Heroy, Samuel
1 Herschlag, Gregory
1 Holm, Darryl D.
1 Howell, Eddie Lee
1 Jensen, Melanie A.
1 Ji, Guanghua
1 Klapper, Isaac
1 Knapp, Robert C.
1 Lai, Samuel K.
1 Lee, Jong-Eao
1 Li, Huiyuan
1 Li, Jun
1 Lin, Kwei-Jay
1 Mckinley, Scott A.
1 Miller, Brian J.
1 Montgomery, Richard
1 Mullins, William
1 Muraki, David J.
1 Newby, Jay M.
1 Pagano, Stéphane
1 Parmentier, Robert D.
1 Phuworawong, Panon
1 Qi, Wang
1 Reichard, D. L.
1 Reinhardt, Benjamin
1 Rosenberg, C-J
1 Rubinstein, Gregory J.
1 Saleh, Abdullah
1 Shi, F. Bill
1 Sinha, Abhilasha
1 Sircar, Sarthok
1 Sørensen, Mads Peter
1 Tarran, Robert
1 Taylor, Dane
1 Ueda, Tetsuji
1 Venkataramanan, Venkatakrishnan
1 Wang, Yingying

Publications by Year

Citations contained in zbMATH

81 Publications have been cited 726 times in 465 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.
133
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.
48
1990
Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint. Zbl 0498.35072
Forest, M. Gregory; McLaughlin, David W.
41
1982
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145
Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.
29
2000
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
24
1986
Modulations of Sinh-Gordon and Sine-Gordon wavetrains. Zbl 0541.35071
Forest, M. Gregory; McLaughlin, David W.
23
1983
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.
22
1990
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
20
2013
On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system. Zbl 0971.37035
Wright, Otis C.; Forest, M. Gregory
20
2000
The geometry of real sine-Gordon wavetrains. Zbl 0591.35065
Ercolani, Nicholas M.; Forest, M. Gregory
19
1985
Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. Zbl 0668.35064
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R.
18
1987
Shear cell rupture of nematic liquid crystal droplets in viscous fluids. Zbl 1282.76061
Yang, Xiaofeng; Forest, M. Gregory; Liu, Chun; Shen, Jie
14
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
12
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
12
2005
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
Geometry and modulation theory for the periodic nonlinear Schrödinger equation. Zbl 0615.35003
Forest, M. Gregory; Lee, Jong-Eao
12
1986
Modulational stability of two-phase sine-Gordon wavetrains. Zbl 0557.35120
Ercolani, Nicholas; Forest, M. Gregory; McLaughlin, David W.
11
1984
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
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
10
1991
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
9
2005
The origin and saturation of modulational instabilities. Zbl 0596.35112
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.
9
1986
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.
8
2003
Unsteady analyses of thermal glass fibre drawing processes. Zbl 1055.76020
Forest, M. Gregory; Zhou, Hong
8
2001
Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers. Zbl 0895.35094
Forest, M. G.; McLaughlin, K. T.-R.
8
1998
Modulational instability of periodic sine Gordon waves: a geometric analysis. Zbl 0597.58011
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.
8
1986
Modulations of perturbed KdV wavetrains. Zbl 0552.35070
Forest, M. Gregory; McLaughlin, David W.
8
1984
Time-domain methods for diffusive transport in soft matter. Zbl 1186.62113
Fricks, John; Yao, Lingxing; Elston, Timothy C.; Forest, M. Gregory
7
2009
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
7
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
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
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
Thermotropic liquid crystalline polymer fibers. Zbl 1136.76312
Forest, M. Gregory; Zhou, Hong; Wang, Qi
6
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.
6
2000
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
Dynamics of slender viscoelastic free jets. Zbl 0829.76007
Forest, M. Gregory; Wang, Q.
6
1994
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
5
2007
Gregory Internal constraint theories for the thermal expansion of viscous fluids. Zbl 1211.76004
Bechtel, Stephen E.; Rooney, Francis J.; Forest, M. Gregory
5
2004
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
5
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
Strongly nonlinear modal equations for nearly integrable PDEs. Zbl 0797.35144
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.; Sinha, A.
5
1993
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.
5
1990
Change-of-type behavior in viscoelastic slender jet models. Zbl 0708.76026
Forest, M. Gregory; Wang, Qi
5
1990
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
On the correspondence between creeping flows of viscous and viscoelastic fluids. Zbl 1195.76071
Xu, Ke; Forest, M. Gregory; Klapper, Isaac
4
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
4
2006
An integrable model for stable/unstable wave coupling phenomena. Zbl 1011.74038
Forest, M. Gregory; Wright, Otis C.
4
2003
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 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
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
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.
3
2008
Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos. Zbl 1151.76366
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
3
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
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
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.
3
2004
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.
2
2013
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
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
2
2009
Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003
Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai
2
2007
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
An anelastic, scale-separated model for mixing, with application to atmospheric transport phenomena. Zbl 1147.76458
McLaughlin, Richard M.; Forest, M. Gregory
2
1999
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
A numerical study of nearly integrable modulation equations. Zbl 0849.35118
Forest, M. Gregory; Sinha, Amarendra
2
1994
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
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
1
2014
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
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
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
Dipole-induced, first-order phase transitions of nano-rod monolayers. Zbl 1220.82020
Lee, Joohee; Forest, M. Gregory; Wang, Qi; Zhou, Ruhai
1
2008
Nematic liquids in weak capillary Poiseuille flow: structure scaling laws and effective conductivity implications. Zbl 1132.82018
Zhou, Hong; Forest, M. Gregory
1
2007
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
1
2006
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
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
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
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
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.
1
1996
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
Chaotic transport and integrable instabilities in a near-integrable, many-particle, Hamiltonian lattice. Zbl 0795.35102
Forest, M. Gregory; Goedde, Christopher G.; Sinha, Amarendra
1
1993
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
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
20
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.
2
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
Shear cell rupture of nematic liquid crystal droplets in viscous fluids. Zbl 1282.76061
Yang, Xiaofeng; Forest, M. Gregory; Liu, Chun; Shen, Jie
14
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
7
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
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
2
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
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
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.
3
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
5
2007
On the correspondence between creeping flows of viscous and viscoelastic fluids. Zbl 1195.76071
Xu, Ke; Forest, M. Gregory; Klapper, Isaac
4
2007
Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos. Zbl 1151.76366
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi
3
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
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
4
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
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
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
1
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
12
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
12
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
9
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
7
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
5
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.
3
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.
8
2003
An integrable model for stable/unstable wave coupling phenomena. Zbl 1011.74038
Forest, M. Gregory; Wright, Otis C.
4
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
8
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
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145
Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.
29
2000
On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system. Zbl 0971.37035
Wright, Otis C.; Forest, M. Gregory
20
2000
Thermotropic liquid crystalline polymer fibers. Zbl 1136.76312
Forest, M. Gregory; Zhou, Hong; Wang, Qi
6
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.
6
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
5
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.
8
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.
1
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.
6
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
Strongly nonlinear modal equations for nearly integrable PDEs. Zbl 0797.35144
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.; Sinha, A.
5
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
1
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
10
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.
48
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.
22
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.
5
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.
18
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
24
1986
Geometry and modulation theory for the periodic nonlinear Schrödinger equation. Zbl 0615.35003
Forest, M. Gregory; Lee, Jong-Eao
12
1986
The origin and saturation of modulational instabilities. Zbl 0596.35112
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.
9
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
19
1985
Modulational stability of two-phase sine-Gordon wavetrains. Zbl 0557.35120
Ercolani, Nicholas; Forest, M. Gregory; McLaughlin, David W.
11
1984
Modulations of perturbed KdV wavetrains. Zbl 0552.35070
Forest, M. Gregory; McLaughlin, David W.
8
1984
Modulations of Sinh-Gordon and Sine-Gordon wavetrains. Zbl 0541.35071
Forest, M. Gregory; McLaughlin, David W.
23
1983
Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint. Zbl 0498.35072
Forest, M. Gregory; McLaughlin, David W.
41
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.
133
1980
all top 5

Cited by 642 Authors

36 Forest, M. Gregory
19 Wang, Qi
19 Yang, Xiaofeng
18 McLaughlin, David W.
15 El, Gennady A.
13 Ercolani, Nicholas M.
13 Wright, Otis Clarence III
10 Bechtel, Stephen E.
10 Hoefer, Mark A.
10 Miller, Peter D.
10 Schober, Constance M.
9 Feireisl, Eduard
9 Zhao, Jia
8 Bikbaev, Ramil’ F.
7 Ablowitz, Mark Jay
7 Grinevich, Pëtr Georgievich
7 Herbst, Ben M.
7 Levermore, C. David
7 Smyth, Noel F.
6 Bronski, Jared C.
6 Mal’tsev, Andreĭ Yakovlevich
6 Zhou, Hong
6 Zhou, Ruhai
5 Bobenko, Alexander Ivanovich
5 Enolskiĭ, Viktor Zelikovich
5 Kamchatnov, Anatoly M.
5 Maslov, Viktor Pavlovich
5 Shafarevich, Andreĭ Igorevich
5 Shen, Jie
5 Wylie, Jonathan J.
4 Belokolos, Eugene D.
4 Calini, Annalisa M.
4 Dobrokhotov, Sergei Yurievich
4 Dubrovin, Boris Anatol’evich
4 Grava, Tamara
4 Grimshaw, Roger Hamilton James
4 He, Xiaoming
4 Krichever, Igor’ Moiseevich
4 Kuksin, Sergeĭ B.
4 Marheineke, Nicole
4 Mckinley, Scott A.
4 Osborne, Alfred R.
4 Pavlov, Maxim V.
4 Rooney, Francis J.
4 Roy Chowdhury, Asesh
4 Santini, Paolo Maria
4 Tian, Fei-Ran
4 Wegener, Raimund
4 Zhang, Pingwen
3 Bishop, Alan Reginald
3 Camassa, Roberto
3 De Angelis, Monica
3 Guo, Boling
3 Hill, David B.
3 Huang, Debin
3 Huang, Huaxiong
3 Islas, Alvaro L.
3 Ivey, Thomas A.
3 Johnson, Mathew A.
3 Li, Xiantao
3 Li, Y. Charles
3 Lindley, Brandon S.
3 Marsden, Jerrold Eldon
3 Martín-Vaquero, Jesús
3 Miura, Robert M.
3 Novokshenov, Viktor Yur’evich
3 Samoĭlenko, Yuliya Ivanivna
3 Samoĭlenko, Valeriĭ Grygorovych
3 Tian, Bo
3 Venakides, Stephanos
3 Walker, Shawn W.
3 Wang, Hongyun
3 Wiggins, Stephen
3 Wu, Ranchao
2 Abenda, Simonetta
2 Ammar, Amine
2 An, Xibin
2 Armstrong, Robert C.
2 Babich, Mikhail Vasil’evich
2 Baccouch, Mahboub
2 Basaran, Osman A.
2 Birnir, Bjorn
2 Bogoyavlenskij, Oleg Igorevich
2 Březina, Jan
2 Brown, Robert A.
2 Buckingham, Robert J.
2 Carroll, Robert L.
2 Ceniceros, Hector D.
2 Chinesta, Francisco
2 Congy, Thibault
2 Deift, Percy A.
2 Dewynne, Jeffrey N.
2 Didier, Gustavo
2 DiPerna, Ronald J.
2 Doshi, Pankaj
2 Farina, Angiolo
2 Fasano, Antonio
2 Fokas, Athanassios S.
2 Gao, Ping
2 Garcia, Guilherme J. M.
...and 542 more Authors
all top 5

Cited in 123 Serials

77 Physica D
28 Physics of Fluids
21 Communications in Mathematical Physics
17 Journal of Computational Physics
17 Journal of Fluid Mechanics
17 Journal of Mathematical Physics
15 Theoretical and Mathematical Physics
9 Mathematical Notes
9 Studies in Applied Mathematics
9 Journal of Non-Newtonian Fluid Mechanics
9 Journal of Nonlinear Science
8 Communications on Pure and Applied Mathematics
8 Physics Letters. A
8 Wave Motion
8 Functional Analysis and its Applications
6 Chaos, Solitons and Fractals
6 Duke Mathematical Journal
6 Journal of Computational and Applied Mathematics
5 Archive for Rational Mechanics and Analysis
5 Mathematics and Computers in Simulation
5 Applied Mathematics and Mechanics. (English Edition)
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Journal of Mathematical Sciences (New York)
5 Chaos
4 Nonlinearity
4 Applied Mathematics and Computation
4 Applied Mathematics Letters
4 Journal of Scientific Computing
4 Abstract and Applied Analysis
3 Applicable Analysis
3 Computers & Mathematics with Applications
3 International Journal of Engineering Science
3 International Journal of Theoretical Physics
3 Journal of Mathematical Analysis and Applications
3 Journal of Statistical Physics
3 Journal of Geometry and Physics
3 Acta Applicandae Mathematicae
3 Applied Numerical Mathematics
3 Journal of Dynamics and Differential Equations
3 Communications in Nonlinear Science and Numerical Simulation
3 Nonlinear Analysis. Theory, Methods & Applications
2 Computers and Fluids
2 Mathematical Methods in the Applied Sciences
2 Ukrainian Mathematical Journal
2 Journal of Differential Equations
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Communications in Partial Differential Equations
2 SIAM Journal on Applied Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Continuum Mechanics and Thermodynamics
2 SIAM Journal on Scientific Computing
2 European Journal of Mechanics. B. Fluids
2 International Journal of Modern Physics C
2 Journal of Nonlinear Mathematical Physics
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Multiscale Modeling & Simulation
2 Journal of Theoretical Biology
1 Modern Physics Letters A
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Reviews of Modern Physics
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Theoretical and Computational Fluid Dynamics
1 Annales de l’Institut Fourier
1 Journal of Approximation Theory
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
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Differential Geometry and its Applications
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Nuclear Physics, B, Proceedings Supplements
1 Russian Journal of Mathematical Physics
1 Nonlinear Dynamics
1 Journal of Shanghai University
...and 23 more Serials
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Cited in 39 Fields

294 Partial differential equations (35-XX)
166 Fluid mechanics (76-XX)
126 Dynamical systems and ergodic theory (37-XX)
68 Numerical analysis (65-XX)
48 Statistical mechanics, structure of matter (82-XX)
33 Quantum theory (81-XX)
26 Ordinary differential equations (34-XX)
20 Mechanics of deformable solids (74-XX)
15 Optics, electromagnetic theory (78-XX)
14 Global analysis, analysis on manifolds (58-XX)
11 Differential geometry (53-XX)
11 Probability theory and stochastic processes (60-XX)
10 Algebraic geometry (14-XX)
9 Classical thermodynamics, heat transfer (80-XX)
9 Geophysics (86-XX)
8 Biology and other natural sciences (92-XX)
7 Mechanics of particles and systems (70-XX)
5 Functions of a complex variable (30-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
4 Computer science (68-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Operator theory (47-XX)
2 Difference and functional equations (39-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-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)

Citations by Year