P. C. Jain

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Commonly Cited References
Action Title Year Authors # of times referenced
+ The partial differential equation u<sub>t</sub> + uu<sub>x</sub> = μ<sub>xx</sub> 1950 Eberhard Hopf
3
+ PDF Chat On the convergence of discrete approximations to the Navier-Stokes equations 1969 Alexandre J. Chorin
2
+ Difference Methods for Initial-Value Problems 1968 E. I.
Robert D. Richtmyer
K. W. Morton
2
+ <i>Difference Methods for Initial-Value Problems</i> 1959 Robert D. Richtmyer
E. H. Dill
2
+ On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations 1963 Jim Douglas
B. Frank Jones
1
+ PDF Chat Complex Spontaneous Flows and Concentration Banding in Active Polar Films 2008 Luca Giomi
M. Cristina Marchetti
Tanniemola B. Liverpool
1
+ Numerical solutions of coupled Burgers' equation 1978 P. C. Jain
D.N. Holla
1
+ Propagation of spherical and cylindrical N-waves 1973 P. L. Sachdev
R. Seebass
1
+ PDF Chat Hydrodynamics of polar liquid crystals 2006 William Kung
M. Cristina Marchetti
Karl Saunders
1
+ Mildly nonlinear elliptic partial differential equations and their numerical solutoin. II 1965 Donald Greenspan
Seymour V. Parter
1
+ ON THE CONVERSION OF BOUNDARY-VALUE PROBLEMS INTO STABLE INITIAL-VALUE PROBLEMS VIA SEVERAL INVARIANT IMBEDDING ALGORITHMS**Work supported by the U. S. Atomic Energy Commission 1975 Melvin R. Scott
1
+ Meso-scale turbulence in living fluids 2012 H. H. Wensink
Jörn Dunkel
Sebastian Heidenreich
Knut Drescher
Raymond E. Goldstein
Hartmut Löwen
Julia M. Yeomans
1
+ Measuring the strangeness of strange attractors 1983 Peter Grassberger
Itamar Procaccia
1
+ A Variable Mesh Finite Difference Method for Solving a Class of Parabolic Differential Equations in One Space Variable 1978 T. H. Chong
1
+ PDF Chat Flocks, herds, and schools: A quantitative theory of flocking 1998 John Toner
Yuhai Tu
1
+ Long-Range Order in a Two-Dimensional Dynamical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>Model: How Birds Fly Together 1995 John Toner
Yuhai Tu
1
+ PDF Chat Boltzmann and hydrodynamic description for self-propelled particles 2006 Éric Bertin
Michel Droz
Guillaume Grégoire
1
+ PDF Chat Generic theory of active polar gels: a paradigm for cytoskeletal dynamics 2005 Karsten Kruse
Jean‐François Joanny
Frank Jülicher
Jacques Prost
Ken Sekimoto
1
+ PDF Chat Hydrodynamic Fluctuations and Instabilities in Ordered Suspensions of Self-Propelled Particles 2002 Robert Simha
Sriraṁ Ramaswamy
1
+ PDF Chat The hydrodynamics of swimming microorganisms 2009 Eric Lauga
Thomas Powers
1
+ PDF Chat Some numerical experiments using Newton's method for nonlinear parabolic and elliptic boundary-value problems 1961 Richard Bellman
M. L. Juncosa
Robert E. Kalaba
1
+ PDF Chat Velocity Correlations in an Active Nematic 2013 Sumesh P. Thampi
Ramin Golestanian
Julia M. Yeomans
1
+ PDF Chat Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis 2009 Éric Bertin
Michel Droz
Guillaume Grégoire
1
+ PDF Chat Polar patterns in active fluids 2011 Luca Giomi
M. Cristina Marchetti
1
+ PDF Chat Motility-Induced Phase Separation 2015 M. E. Cates
Julien Tailleur
1
+ I. Liquid crystals. On the theory of liquid crystals 1958 F. C. Frank
1
+ A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type 1947 J Crank
P. Nicolson
1
+ Partial differential equations of parabolic type 1965 John S. Maybee
1
+ PDF Chat Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks 2020 Lokrshi Prawar Dadhichi
Jitendra Kethapelli
Rahul Chajwa
Sriraṁ Ramaswamy
Ananyo Maitra
1
+ Mathematics in Science and Engineering, Volume 6: Differential- Difference Equations. Richard Bellman and Kenneth L. Cooke. Academic Press, New York and London. 462 pp. 114s. 6d. 1963 A. J. Hatley
1
+ On a quasi-linear parabolic equation occurring in aerodynamics 1951 Julian D. Cole
1
+ PDF Chat Model of Collective Fish Behavior with Hydrodynamic Interactions 2018 Audrey Filella
François Nadal
Clément Sire
Eva Kanso
Christophe Eloy
1
+ PDF Chat Origins and diagnostics of the nonequilibrium character of active systems 2018 Lokrshi Prawar Dadhichi
Ananyo Maitra
Sriraṁ Ramaswamy
1
+ PDF Chat Swimmer Suspensions on Substrates: Anomalous Stability and Long-Range Order 2020 Ananyo Maitra
Pragya Srivastava
M. Cristina Marchetti
Sriraṁ Ramaswamy
Martin Lenz
1
+ The Theory of Splines and Their Applications 1967 1
+ <i>Finite-Difference Methods for Partial Differential Equations</i> 1961 George E. Forsythe
Wolfgang Wasow
W. Nachbar
1
+ PDF Chat Two-dimensional Turbulence in Symmetric Binary-Fluid Mixtures: Coarsening Arrest by the Inverse Cascade 2017 Prasad Perlekar
Nairita Pal
Rahul Pandit
1
+ PDF Chat Freezing a Flock: Motility-Induced Phase Separation in Polar Active Liquids 2019 Delphine Geyer
D.G. Martin
Julien Tailleur
Denis Bartolo
1
+ PDF Chat Optimal swimmers can be pullers, pushers or neutral depending on the shape 2021 Abdallah Daddi‐Moussa‐Ider
Babak Nasouri
Andrej Vilfan
Ramin Golestanian
1
+ PDF Chat Inertia Drives a Flocking Phase Transition in Viscous Active Fluids 2021 Rayan Chatterjee
Navdeep Rana
Robert Simha
Prasad Perlekar
Sriraṁ Ramaswamy
1
+ PDF Chat Active Turbulence 2021 Ricard Alert
Jaume Casademunt
Jean‐François Joanny
1
+ PDF Chat Role of Advective Inertia in Active Nematic Turbulence 2021 Colin-Marius Koch
Michael Wilczek
1
+ PDF Chat Theory of phase-ordering kinetics 2002 A. J. Bray
1
+ PDF Chat Swarming Bottom Feeders: Flocking at Solid-Liquid Interfaces 2021 Niladri Sarkar
Abhik Basu
John Toner
1
+ Finite-Difference Methods for Partial Differential Equations. 1962 J. W. P.
George E. Forsythe
Wolfgang Wasow
1
+ PDF Chat Coexistence of Active and Hydrodynamic Turbulence in Two-Dimensional Active Nematics 2022 C. Rorai
Federico Toschi
Ignacio Pagonabarraga
1
+ PDF Chat Reciprocal swimming at intermediate Reynolds number 2022 N. J. Derr
Thomas Dombrowski
Chris H. Rycroft
Daphne Klotsa
1
+ PDF Chat Symmetry-restoring crossover from defect-free to defect-laden turbulence in polar active matter 2023 Benjamin H. Andersen
Julian Renaud
Jonas Rønning
Luiza Angheluta
Amin Doostmohammadi
1
+ PDF Chat Defect turbulence in a dense suspension of polar, active swimmers 2024 Navdeep Rana
Rayan Chatterjee
Sunghan Ro
Dov Levine
Sriraṁ Ramaswamy
Prasad Perlekar
1
+ Partial Differential Equations of Parabolic Type 1964 Avner Friedman
1