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 Witelski, T; Bowen, M, Methods of Mathematical Modelling: Continuous Systems and Differential Equations
(September, 2015),
pp. 1305, Springer International Publishing, ISBN 9783319230412 [doi] [abs] [author's comments]
Papers Published
 Dijksman, JA; Mukhopadhyay, S; Behringer, RP; Witelski, TP, Thermal Marangonidriven dynamics of spinning liquid films,
Physical Review Fluids, vol. 4 no. 8
(August, 2019) [doi] [abs]
 Bowen, M; Witelski, TP, Pressuredipole solutions of the thinfilm equation,
European Journal of Applied Mathematics, vol. 30 no. 2
(April, 2019),
pp. 358399 [doi] [abs]
 Gao, Y; Ji, H; Liu, JG; Witelski, TP, A vicinal surface model for epitaxial growth with logarithmic free energy,
Discrete and Continuous Dynamical Systems Series B, vol. 23 no. 10
(December, 2018),
pp. 44334453, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
 Chiou, JG; Ramirez, SA; Elston, TC; Witelski, TP; Schaeffer, DG; Lew, DJ, Principles that govern competition or coexistence in RhoGTPase driven polarization.,
Plos Computational Biology, vol. 14 no. 4
(April, 2018),
pp. e1006095 [doi] [abs]
 Ji, H; Witelski, TP, Instability and dynamics of volatile thin films,
Physical Review Fluids, vol. 3 no. 2
(February, 2018), American Physical Society (APS) [doi] [abs]
 Gao, Y; Ji, H; Liu, JG; Witelski, TP, Global existence of solutions to a tear film model with locally elevated evaporation rates,
Physica D: Nonlinear Phenomena, vol. 350
(July, 2017),
pp. 1325, Elsevier BV [doi] [abs]
 Ji, H; Witelski, TP, Finitetime thin film rupture driven by modified evaporative loss,
Physica D: Nonlinear Phenomena, vol. 342
(March, 2017),
pp. 115, Elsevier BV [doi] [abs]
 Sanaei, P; Richardson, GW; Witelski, T; Cummings, LJ, Flow and fouling in a pleated membrane filter,
Journal of Fluid Mechanics, vol. 795
(May, 2016),
pp. 3659, Cambridge University Press (CUP) [doi] [abs]
 Smolka, LB; McLaughlin, CK; Witelski, TP, Oil capture from a water surface by a falling sphere,
Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol. 497
(May, 2016),
pp. 126132, Elsevier BV, ISSN 09277757 [doi] [abs]
 George, C; Virgin, LN; Witelski, T, Experimental study of regular and chaotic transients in a nonsmooth system,
International Journal of Non Linear Mechanics, vol. 81
(May, 2016),
pp. 5564, Elsevier BV [doi] [abs]
 Witelski, TP, Preface to the special issue on “Thin films and fluid interfaces”,
Journal of Engineering Mathematics, vol. 94 no. 1
(October, 2015),
pp. 13, Springer Nature, ISSN 00220833 [doi]
 Dijksman, JA; Mukhopadhyay, S; Gaebler, C; Witelski, TP; Behringer, RP, Obtaining selfsimilar scalings in focusing flows.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 92 no. 4
(October, 2015),
pp. 043016, ISSN 15393755 [doi] [abs]
 Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations,
Journal of Sound and Vibration, vol. 333 no. 6
(March, 2014),
pp. 17341753, ISSN 0022460X [doi] [abs]
 Hall Taylor, NS; Hewitt, IJ; Ockendon, JR; Witelski, TP, A new model for disturbance waves,
International Journal of Multiphase Flow, vol. 66
(January, 2014),
pp. 3845, Elsevier BV, ISSN 03019322 [doi] [abs]
 Smolka, LB; Witelski, TP, Biaxial extensional motion of an inertially driven radially expanding liquid sheet,
Physics of Fluids, vol. 25 no. 6
(January, 2013),
pp. 062105062105, AIP Publishing, ISSN 10706631 [Gateway.cgi], [doi] [abs]
 Chapman, SJ; Trinh, PH; Witelski, TP, Exponential Asymptotics for Thin Film Rupture.,
Siam Journal of Applied Mathematics, vol. 73 no. 1
(2013),
pp. 232253, Society for Industrial & Applied Mathematics (SIAM) [120872012], [doi] [abs]
 Huang, Y; Witelski, TP; Bertozzi, AL, Anomalous exponents of selfsimilar blowup solutions to an aggregation equation in odd dimensions,
Applied Mathematics Letters, vol. 25 no. 12
(December, 2012),
pp. 23172321, Elsevier BV, ISSN 08939659 [doi] [abs]
 Witelski, T; Ambrose, D; Bertozzi, A; Layton, A; Li, Z; Minion, M, Preface: Special issue on fluid dynamics, analysis and numerics,
Discrete and Continuous Dynamical Systems Series B, vol. 17 no. 4
(June, 2012),
pp. iii, American Institute of Mathematical Sciences (AIMS), ISSN 15313492 [doi]
 Wiebe, R; Virgin, LN; Witelski, TP, A parametrically forced nonlinear system with reversible equilibria,
International Journal of Bifurcation and Chaos, vol. 22 no. 6
(January, 2012),
pp. 12300201230020, World Scientific Pub Co Pte Lt, ISSN 02181274 [doi] [abs]
 Aydemir, E; Breward, CJW; Witelski, TP, The effect of polar lipids on tear film dynamics.,
Bulletin of Mathematical Biology, vol. 73 no. 6
(June, 2011),
pp. 11711201 [20556530], [doi] [abs]
 Aguareles, M; Chapman, SJ; Witelski, T, Motion of spiral waves in the complex GinzburgLandau equation,
Physica D: Nonlinear Phenomena, vol. 239 no. 7
(April, 2010),
pp. 348365, Elsevier BV, ISSN 01672789 [003], [doi] [abs]
 Bernoff, AJ; Witelski, TP, Stability and dynamics of selfsimilarity in evolution equations,
Journal of Engineering Mathematics, vol. 66 no. 1
(January, 2010),
pp. 1131, Springer Nature, ISSN 00220833 [s1066500993098], [doi] [abs]
 Witelski, TP, The subtle art of blowing bubbles (News and Views: Fluid Dynamics),
Nature Physics, vol. 5 no. 5
(May, 2009),
pp. 315316, ISSN 17452473 (doi:10.1038/nphys1265.) [=NDgyMTgzMzQS1&mt=1&rt=0], [doi]
 Hwang, HJ; Witelski, TP, Shorttime pattern formation in thin film equations,
Discrete and Continuous Dynamical Systems Series A, vol. 23 no. 3
(March, 2009),
pp. 867885, American Institute of Mathematical Sciences (AIMS), ISSN 10780947 (doi: 10.3934/dcds.2009.23.867.) [displayArticles.jsp], [doi] [abs]
 Peterson, E; Shearer, M; Witelski, TP; Levy, R, Stability of traveling waves in thin liquid films driven by gravity and surfactant, edited by Tadmor, E; Liu, J; Tzavaras, A,
Hyperbolic Problems: Theory, Numerics and Applications, Part 2, vol. 67 no. 2
(January, 2009),
pp. 855+, AMER MATHEMATICAL SOC, ISBN 9780821847305 [Gateway.cgi]
 Gratton, MB; Witelski, TP, Transient and selfsimilar dynamics in thin film coarsening,
Physica D: Nonlinear Phenomena, vol. 238 no. 2324
(January, 2009),
pp. 23802394, Elsevier BV, ISSN 01672789 [015], [doi] [abs]
 Smolka, LB; Witelski, TP, On the planar extensional motion of an inertially driven liquid sheet,
Physics of Fluids, vol. 21 no. 4
(January, 2009),
pp. 042101042101, AIP Publishing, ISSN 10706631 [042101], [doi] [abs]
 Witelski, TP, Fluid dynamics: The subtle art of blowing bubbles,
Nature Physics, vol. 5 no. 5
(January, 2009),
pp. 315316, Springer Nature, ISSN 17452473 [doi]
 Witelski, T; Bowen, M, Singular perturbation theory,
Scholarpedia, vol. 4 no. 4
(2009),
pp. 39513951, Scholarpedia [Singular_perturbation_theory], [doi]
 Santillan, ST; Plaut, RH; Witelski, TP; Virgin, LN, Large oscillations of beams and columns including selfweight,
International Journal of Non Linear Mechanics, vol. 43 no. 8
(October, 2008),
pp. 761771, Elsevier BV, ISSN 00207462 [007], [doi] [abs]
 Catllá, AJ; Schaeffer, DG; Witelski, TP; Monson, EE; Lin, AL, On spiking models for synaptic activity and impulsive differential equations,
Siam Review, vol. 50 no. 3
(September, 2008),
pp. 553569, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361445 [553], [doi] [abs]
 DiCarlo, DA; Juanes, R; LaForce, T; Witelski, TP, Nonmonotonic traveling wave solutions of infiltration into porous media,
Water Resources Research, vol. 44 no. 2
(February, 2008),
pp. W02406, American Geophysical Union (AGU), ISSN 00431397 [2007WR005975], [doi] [abs]
 Gratton, MB; Witelski, TP, Coarsening of unstable thin films subject to gravity.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 77 no. 1 Pt 2
(January, 2008),
pp. 016301, ISSN 15393755 [doi] [abs]
 Aguareles, M; Chapman, SJ; Witelski, TP, Interaction of spiral waves in the Complex GinzburgLandau equation,
Physical Review Letters, vol. 101 no. 224101
(2008), ISSN 00319007 (doi:10.1103/PhysRevLett.101.224101.) [e224101], [doi] [abs]
 Gratton, MB; Witelski, TP, Coarsening of dewetting thin films subject to gravity,
Physical Review E, vol. 77 no. 016301
(2008),
pp. 111 [e016301]
 Levy, R; Shearer, M; Witelski, TP, Gravitydriven thin liquid films with insoluble surfactant: Smooth traveling waves,
European Journal of Applied Mathematics, vol. 18 no. 6
(December, 2007),
pp. 679708, Cambridge University Press (CUP), ISSN 09567925 [S0956792507007218], [doi] [abs]
 Schaeffer, DG; Shearer, M; Witelski, TP, Boundaryvalue problems for hyperbolic equations related to steady granular flow,
Mathematics and Mechanics of Solids, vol. 12 no. 6
(December, 2007),
pp. 665699, SAGE Publications, ISSN 10812865 [1081286506067325], [doi] [abs]
 Witelski, TP; Shearer, M; Levy, R, Growing surfactant waves in thin liquid films driven by gravity,
Applied Mathematics Research Express, vol. 2006 no. 15487
(December, 2006),
pp. 121, Oxford University Press (OUP), ISSN 16871200 [15487], [doi] [abs]
 Bowen, M; Witelski, TP, The linear limit of the dipole problem for the thin film equation,
Siam Journal on Applied Mathematics, vol. 66 no. 5
(October, 2006),
pp. 17271748, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361399 [050637832], [doi] [abs]
 Münch, A; Wagner, B; Witelski, TP, Lubrication models with small to large slip lengths,
Journal of Engineering Mathematics, vol. 53 no. 34
(December, 2005),
pp. 359383, Springer Nature, ISSN 00220833 [contribution.asp], [doi] [abs]
 Witelski, TP; Rienstra, SW, Introduction to practical asymptotics III,
Journal of Engineering Mathematics, vol. 53 no. 34
(December, 2005),
pp. 199, Springer Nature, ISSN 00220833 [contribution.asp], [doi] [abs]
 Glasner, KB; Witelski, TP, Collision versus collapse of droplets in coarsening of dewetting thin films,
Physica D: Nonlinear Phenomena, vol. 209 no. 14 SPEC. ISS.
(September, 2005),
pp. 80104, Elsevier BV [010], [doi] [abs]
 Haskett, RP; Witelski, TP; Sur, J, Localized Marangoni forcing in driven thin films,
Physica D: Nonlinear Phenomena, vol. 209 no. 14 SPEC. ISS.
(September, 2005),
pp. 117134, Elsevier BV [019], [doi] [abs]
 Fetzer, R; Jacobs, K; Münch, A; Wagner, B; Witelski, TP, New slip regimes and the shape of dewetting thin liquid films.,
Physical Review Letters, vol. 95 no. 12
(September, 2005),
pp. 127801, ISSN 00319007 [16197111], [doi] [abs]
 Witelski, TP, Motion of wetting fronts moving into partially prewet soil,
Advances in Water Resources, vol. 28 no. 10 SPEC. ISS.
(January, 2005),
pp. 11331141, Elsevier BV [006], [doi] [abs]
 Sur, J; Witelski, TP; Behringer, RP, Steadyprofile fingering flows in Marangoni driven thin films.,
Physical Review Letters, vol. 93 no. 24
(December, 2004),
pp. 247803, ISSN 00319007 [15697861], [doi] [abs]
 Smolka, LB; Belmonte, A; Henderson, DM; Witelski, TP, Exact solution for the extensional flow of a viscoelastic filament,
European Journal of Applied Mathematics, vol. 15 no. 6
(December, 2004),
pp. 679712, Cambridge University Press (CUP) [doi] [abs]
 Borucki, LJ; Witelski, T; Please, C; Kramer, PR; Schwendeman, D, A theory of pad conditioning for chemicalmechanical polishing,
Journal of Engineering Mathematics, vol. 50 no. 1
(December, 2004),
pp. 124, Springer Nature [issues.aspx], [doi] [abs]
 Witelski, TP; Bernoff, AJ; Bertozzi, AL, Blowup and dissipation in a criticalcase unstable thin film equation,
European Journal of Applied Mathematics, vol. 15 no. 2
(April, 2004),
pp. 223256, Cambridge University Press (CUP) [doi] [abs]
 Witelski, TP, Nonlinear Differential Equations, Mechanics and Bifurcation,
Discrete and Continuous Dynamical Systems Series B, vol. 3 no. 4
(November, 2003),
pp. i (A special issue dedicated to David G. Schaeffer's 60th birthday.) [htm]
 Shearer, M; Schaeffer, DG; Witelski, TP, Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness,
Mathematical Models and Methods in Applied Sciences, vol. 13 no. 11
(November, 2003),
pp. 16291671, World Scientific Pub Co Pte Lt [doi] [abs]
 Witelski, TP; Bowen, M, ADI schemes for higherorder nonlinear diffusion equations,
Applied Numerical Mathematics, vol. 45 no. 23
(May, 2003),
pp. 331351, Elsevier BV [S01689274(02)001940], [doi] [abs]
 Glasner, KB; Witelski, TP, Coarsening dynamics of dewetting films.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 67 no. 1 Pt 2
(January, 2003),
pp. 016302, ISSN 15393755 [12636597], [doi] [abs]
 Witelski, TP, Intermediate asymptotics for Richards' equation in a finite layer,
Journal of Engineering Mathematics, vol. 45 no. 34
(2003),
pp. 379399 [A:1022609020200], [doi] [abs]
 Schaeffer, DG; Shearer, M; Witelski, T, Onedimensional solutions of an elastoplasticity model of granular material,
Math. Models and Methods in Appl. Sciences, vol. 13
(2003),
pp. 16291671
 Witelski, TP, Computing finitetime singularities in interfacial flows, edited by Bourlioux, A; Gander, MJ; Sabidussi, G,
Modern Methods in Scientific Computing and Applications, vol. 75
(January, 2002),
pp. 451487, SPRINGER, ISSN 15682609, ISBN 1402007825 [Gateway.cgi] [abs]
 Bernoff, AJ; Witelski, TP, Linear stability of sourcetype similarity solutions of the thin film equation,
Applied Mathematics Letters, vol. 15 no. 5
(January, 2002),
pp. 599606, Elsevier BV, ISSN 08939659 [doi] [abs]
 Witelski, TP; Schaeffer, DG; Shearer, M, A discrete model for an illposed nonlinear parabolic PDE,
Physica D: Nonlinear Phenomena, vol. 160 no. 34
(December, 2001),
pp. 189221, Elsevier BV, ISSN 01672789 [S01672789(01)003505], [doi] [abs]
 Vaynblat, D; Lister, JR; Witelski, TP, Symmetry and selfsimilarity in rupture and pinchoff: A geometric bifurcation,
European Journal of Applied Mathematics, vol. 12 no. 3
(December, 2001),
pp. 209232, Cambridge University Press (CUP) [doi] [abs]
 Bertozzi, AL; Grün, G; Witelski, TP, Dewetting films: Bifurcations and concentrations,
Nonlinearity, vol. 14 no. 6
(November, 2001),
pp. 15691592, IOP Publishing [doi] [abs]
 Witelski, TP; Ono, K; Kaper, TJ, Critical wave speeds for a family of scalar reactiondiffusion equations,
Applied Mathematics Letters, vol. 14 no. 1
(January, 2001),
pp. 6573, Elsevier BV [doi] [abs]
 Vaynblat, D; Lister, JR; Witelski, TP, Rupture of thin viscous films by van der waals forces: Evolution and selfsimilarity,
Physics of Fluids, vol. 13 no. 5
(January, 2001),
pp. 11301141, AIP Publishing [GetabsServlet], [doi] [abs]
 Witelski, TP; Bernoff, AJ, Dynamics of threedimensional thin film rupture,
Physica D: Nonlinear Phenomena, vol. 147 no. 12
(December, 2000),
pp. 155176, Elsevier BV [doi] [abs]
 Witelski, TP; Ono, K; Kaper, TJ, On axisymmetric traveling waves and radial solutions of semilinear elliptic equations,
Natural Resource Modeling, vol. 13 no. 3
(January, 2000),
pp. 339388 [ps], [doi] [abs]
 Witelski, TP; Bernoff, AJ, Stability of selfsimilar solutions for van der Waals driven thin film rupture,
Physics of Fluids, vol. 11 no. 9
(January, 1999),
pp. 24432445, AIP Publishing, ISSN 10706631 [Gateway.cgi], [doi] [abs]
 Witelski, TP; Hendriks, F, Stability of gas bearing sliders for large bearing number: Convective instability of the tapered slider©,
Tribology Transactions, vol. 42 no. 1
(January, 1999),
pp. 216222, Informa UK Limited, ISSN 10402004 [ps], [doi] [abs]
 Witelski, TP; Hendriks, F, Large bearing number stability analysis for tango class gas bearing sliders,
Tribology Transactions, vol. 42 no. 3
(January, 1999),
pp. 668674, Informa UK Limited, ISSN 10402004 [ps], [doi] [abs]
 Bernoff, AJ; Bertozzi, AL; Witelski, TP, Axisymmetric surface diffusion: Dynamics and stability of selfsimilar pinchoff,
Journal of Statistical Physics, vol. 93 no. 34
(November, 1998),
pp. 725776, Springer Nature [gz], [doi] [abs]
 Brenner, MP; Witelski, TP, On spherically symmetric gravitational collapse,
Journal of Statistical Physics, vol. 93 no. 34
(November, 1998),
pp. 863899, Springer Nature [gz], [doi] [abs]
 Witelski, TP; Grosberg, AY; Tanaka, T, On the properties of polymer globules in the high density limit,
The Journal of Chemical Physics, vol. 108 no. 21
(June, 1998),
pp. 91449149, AIP Publishing [getabs], [doi] [abs]
 Witelski, TP; Bernoff, AJ, Selfsimilar asymptotics for linear and nonlinear diffusion equations,
Studies in Applied Mathematics, vol. 100 no. 2
(January, 1998),
pp. 153193, WILEY [gz], [doi] [abs]
 Witelski, TP, Dynamics of air bearing sliders,
Physics of Fluids, vol. 10 no. 3
(January, 1998),
pp. 698708, AIP Publishing [getabs], [doi] [abs]
 Witelski, TP, Horizontal infiltration into wet soil,
Water Resources Research, vol. 34 no. 7
(January, 1998),
pp. 18591863, American Geophysical Union (AGU) [gz], [doi] [abs]
 Witelski, TP, Equilibrium interface solutions of a degenerate singular CahnHilliard equation,
Applied Mathematics Letters, vol. 11 no. 5
(January, 1998),
pp. 127133, Elsevier BV [doi] [abs]
 Witelski, TP, Similarity solutions of the lubrication equation,
Applied Mathematics Letters, vol. 10 no. 5
(September, 1997),
pp. 107113, Elsevier BV [gz], [doi] [abs]
 Witelski, TP, Segregation and mixing in degenerate diffusion in population dynamics,
Journal of Mathematical Biology, vol. 35 no. 6
(January, 1997),
pp. 695712, Springer Nature, ISSN 03036812 [gz], [doi] [abs]
 Witelski, TP, Perturbation Analysis for Wetting Fronts in Richards' Equation,
Transport in Porous Media, vol. 27 no. 2
(January, 1997),
pp. 121134 [gz], [doi] [abs]
 Witelski, TP, Traveling wave solutions for case II diffusion in polymers,
Journal of Polymer Science Part B: Polymer Physics, vol. 34 no. 1
(January, 1996),
pp. 141150, WILEY [gz], [doi] [abs]
 Witelski, TP, The structure of internal layers for unstable nonlinear diffusion equations,
Studies in Applied Mathematics, vol. 97 no. 3
(January, 1996),
pp. 277300, WILEY [gz], [doi] [abs]
 Cohen, DS; Witelski, TP, Inaccessible states in timedependent reaction diffusion,
Studies in Applied Mathematics, vol. 97 no. 4
(January, 1996),
pp. 301319, WILEY [doi] [abs]
 Witelski, TP, Stopping and merging problems for the porous media equation,
Ima Journal of Applied Mathematics, vol. 54 no. 3
(December, 1995),
pp. 227243, Oxford University Press (OUP), ISSN 02724960 [gz], [doi] [abs]
 Witelski, TP; Cohen, DS, Perturbed reversible systems,
Physics Letters A, vol. 207 no. 12
(October, 1995),
pp. 8386, Elsevier BV, ISSN 03759601 [doi] [abs]
 Witelski, TP; Cohen, DS, Forbidden Regions for Shock Formation in Diffusive Systems,
Studies in Applied Mathematics, vol. 95 no. 3
(October, 1995),
pp. 297317, WILEY, ISSN 00222526 [Gateway.cgi], [doi] [abs]
 Cohen, DS; White, AB; Witelski, TP, Shock formation in a multidimensional viscoelastic diffusive system,
Siam Journal on Applied Mathematics, vol. 55 no. 2
(January, 1995),
pp. 348368, Society for Industrial & Applied Mathematics (SIAM) [gz], [doi] [abs]
 Witelski, TP, Merging traveling waves for the porousFisher's equation,
Applied Mathematics Letters, vol. 8 no. 4
(January, 1995),
pp. 5762, Elsevier BV, ISSN 08939659 [doi] [abs]
 Witelski, TP, Shocks in nonlinear diffusion,
Applied Mathematics Letters, vol. 8 no. 5
(January, 1995),
pp. 2732, Elsevier BV, ISSN 08939659 [gz], [doi] [abs]
 Witelski, TP, An asymptotic solution for traveling waves of a nonlineardiffusion Fisher's equation,
Journal of Mathematical Biology, vol. 33 no. 1
(November, 1994),
pp. 116, Springer Nature, ISSN 03036812 [gz], [doi] [abs]
 Witelski, T; Ng, P; Joseph Lundy, JY; Bove, J, An application of pattern recognition and infrared spectroscopy to water analysis,
International Journal of Environmental Analytical Chemistry, vol. 44 no. 2
(May, 1991),
pp. 127136, Informa UK Limited, ISSN 03067319 [doi] [abs]
 Ferdinand Hendriks, Thomas P. Witelski, et al, Shape optimization of pressurized air bearings,
Proceedings 2001 Workshop on Mathematical Problems in Industry, RPI
[abs]
 F. Hendriks, Thomas P. Witelski, et al, Design of planar coils of minimum resistance for magnetic recording devices,
Proceedings of the Workshop on Mathematical Problems in Industry, University of Delaware, 1999
[gz]
 W. L. Hogarth, J. Y. Parlange, Thomas P Witelski, The superposition principle for infiltration with power law diffusivity,
Hydrology Days  Proceedings of the 17th Annual American Geophysical Union, pp. 365374 (1997)


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