1. “The Fluid Dynamic Limit of a Nonlinear Model Boltzmann Equation,” (with G.C. Papanicolaou), Comm. Pure Appl. Math., 32 (1979), pp. 521-554.
2. “Navier-Stokes and Boltzmann Shock Profiles for a Model of Gas Dynamics,” Comm. Pure Appl. Math., 32 (1979), pp. 589-616.
3. “The Boltzmann Equation with a Soft Potential, Part I: Linear, Spatially Homogeneous, ” Comm. Math. Phys., 74 (1980), pp. 71-95.
4. “The Boltzmann Equation with a Soft Potential, Part II: Nonlinear, Spatially-Periodic,” Comm. Math. Phys., 74 (1980, pp. 97-109.
5. “Distortion of the Arterial Pulse” (with C. Peskin, G. Strumolo), Math. Bio. Sci., 51 (1980), pp. 229-260.
6. “An Inverse Problem for Toeplitz Matrices and the Synthesis of Discrete Transmission Lines,” J. Linear Algebra and Its Applications, 38 (1980), pp. 207-225.
7. “The Fluid Dynamic Limit of the Nonlinear Boltzmann Equation, ” Comm. Pure Appl. Math., 33 (1980), pp. 651-666.
8. “Quench Front Propagation” (with J.B. Keller), Nucl. Eng. and Design, 65 (1981), pp. 97-102.
9. “Evaluation of a Function at Infinity from Its Power Series” (with K.C. Nunan), Phys. Rev. Letters, 46 (1981), pp. 1255-1256.
10. “The Fluid-Dynamic Limit of a Model Boltzmann Equation in the Presence of a Shock,” INRIA Report #81 (1981).
11. “Shock Profile Solutions of the Boltzmann Equation” (with B. Nicolaenko), Comm. Math. Phys., 89 1982), pp. 161-194.
12. “Fluid Dynamics and the Boltzmann Equation,” in Studies Stat. Mech., Vol. 10, Nonequilibrium Phenomena I: The Boltzmann Equation, E.W. Montroll and J.L. Lebowitz, eds., North-Holland, 1983, pp. 193-223.
13. “Dynamic Theory of Suspensions with Brownian Effects” (with G.C. Papanicolaou), SIAM J. Appl. Math. 43 (1983), 885-906.
14. “Shock Waves and the Boltzmann Equation” (with B. Nicolaenko), in Nonlinear PDE, J. Smoller, ed., Contemp. Math., Vol. 17, AMS, 1983, pp. 35-44.
15. “Instability in Settling of Suspensions Due to Brownian Effects” (with G.C. Papanicolaou), Theory of Dispersed Flow ed. Richard E. Meyer, Proc. Adv. Sem. MRC, Madison, WI, 1983, pp. 73-80.
16. “Fluid Dynamics and the Boltzmann Equation,” Proceeding VII Intern. Cong. Math. Physics, Boulder, CO, 1983, and Physica 124A (1984) 171-180.
17. “Nonlinear Dynamical Theory of the Elastica” (with J. Maddocks), Proc. Roy. Soc. Edinburgh, 99A (1984) 1-23.
18. “Global Existence for a Nonlinear Theory of Bubbly Liquids,” Comm. Pure Appl. Math., 38 (1985) 157-166.
19. “Effective Equations for Wave Propagation in Bubbly Liquids” (with M. Miksis, G.C. Papanicolaou, L. Ting), J. Fluid Mechanics, 153 (1985) 259-273.
20. “Equilibrium for Radiation in a Homogeneous Plasma” (with C.D. Levermore), Phys. Fluids, 29 (1986) 748-752.
21. “Wave Propagation in Bubbly Liquids at Finite Volume Fraction” (with M. Miksis, G.C. Papanicolaou, L. Ting), J. Fluid Mechanics, 160 (1985) 1-14.
22. “Variance in the Sedimentation Speed of a Suspension” (with J. Luke), Phys. Fluids, 28 (1985) 759-760.
23. “Le Probleme de Milne Pour L’Equation de Boltzmann” (with C. Bardos, B. Nicolaenko), Comptes Rendus, 300 (1985) 149-152.
24. “Thermal Layer Solutions of the Boltzmann Equation” (with C. Bardos, B. Nicolaenko), in Statistical Physics and Dynamical Systems, Rigorous Results , ed. J. Fritz, A. Jaffe and D. Szasz, Progress in Physics, vol. 10, Birkhauser (1985) 235-252.
25. “Sedimentation of a Dilute Suspension,” Proceedings Workshop on Turbulence and Fluid Mixtures, INRIA-NSF, Springer Lecture Notes in Physics. 230
26. “Planar Boundary Value Problems for Rarefied Gases,” Proc. 17th Biennial Fl. Dynamics Symp. (1985) Gdansk. in Fluid Dynamic Trans. 13 89-123.
27. “The Half-Space Problem for the Boltzmann Equation at Zero Temperature,” Comm. Pure Appl. Math., 38 (1985) 529-547.
28. “The Milne and Kramers Problems for the Boltzmann Equation of a Hard Sphere Gas” (with C. Bardos, B. Nicolaenko), Comm. Pure Appl. Math., 39 (1986) 323-352.
29. “Mathematical Method for the Equations of Kinetics of Gases,” (with C.V.M. Van der Mee) Transport Th. Stat. Physics 15 (1986) 353-367.
30. “Stability of Shock Wave Profiles for a Model Boltzmann,” Equation (with T.P. Liu) 15th RGD Symposium, Grado, (1986) 3-9.
31. “Long Time Existence for Slightly Perturbed Vortex Sheets” (with O. Orellana), Comm. Pure Appl. Math., (1986) 807-838.
32. “Statistical Properties of Sedimenting Suspensions and the Point Particle Approximation,” (with J.H.C. Luke) in Advances in Multiphase Flow and Related Problems, ed. Papanicolaou, SIAM (1986) 23-34.
33. “Wave Propagation in a Bubbly Liquid” (with M. Miksis, G.C. Papanicolaou, L. Ting), Lectures in Appl. Math., 23 (1986) 327-343.
34. “Long Time Existence and Singularity Formation for Vortex Sheets,” Workshop on Vortex Methods, ed. Anderson and Greengard. Springer Lect. Notes Math., 1360 (1987) 1-8.
35.“Asymptotic Expansions of Solutions for the Boltzmann Equation,” J. Transport Th. Stat. Phys., 16 (1987) 701-725.
36. “Statistical Modeling of a Dilute Fluid-Particle Suspension,” in Hydrodynamic Behavior and Interacting Particle Systems, IMA vol. 9, ed. Papanicolaou, Springer (1987) 1-12.
37. “Stability of Shock Waves for the Broadwell Equations” (with T.-P. Liu) Comm. Math. Phys. 114 (1988) 103-130.
38. “Periodic Solutions for Three Sedimenting Spheres” (with J. Luke, C. Lim and A. Sangani) Phys. Fl. 31 (1988) 3175-3179.
39. “Asymptotics of the Boltzmann Equation and Fluid Dynamics,” in Kinetic Theory and Gas Dynamics CISM No. 239 (1988) ed. C. Cercignani, pp. 95-133.
40. “Nonlinear Analysis for the Evolution of Vortex Sheets,” in Vortex Motion, Proc. IUTAM Symposium on Fundamental Aspects of Vortex Motion, ed. H. Hasimoto and T. Kambe, North-Holland (1988) 75-77 and in Fluid Dyn. Research 3 (1988) 75-77.
41. “Well-Posedness of Initial and Boundary Value Problems for the Boltzmann Equation,” Proc. 16th Intern. Symp. Rarefied Gas Dyn. (1988) 3-14.
42. “Mathematical Analysis of Vortex Dynamics,” Proc. Workshop on Math. Aspects of Vortex Dyn. (1988) 1-24, SIAM.
43. “Singularity Formation and Ill-Posedness for Vortex Sheets” (with O. Orellana) SIAM J. Math. Anal. 20 (1989) 293-307.
44. “The Sound of a Singularity” (with F. Lund) Physics of Fluids A, 1 (1989) 909-910.
45. “Convergence of the Vortex Method for Vortex Sheets” (with J. Lowengrub) SIAM J. Num. Anal. 26 (1989) 1060-1080.
46. “A Localized Approximation for Vortical Flows” (with O. Orellana and M. Siegel) SIAM J. Applied Math. 50 (1990) 1517-1532.
47. “A Simplified Version of the Abstract Cauchy-Kowalewski Theorem with Weak Singularities,” Bull. AMS, 23 (1990) 495-500.
48. “A Nonlinear Approximation for Vortex Sheet Evolution and Singularity Formation,” (with S. Semmes), Physica D 41 (1990) 197-207.
49. “Singularity Formation for Vortex Sheets and Hyperbolic Equations,” 3rd Intern. Wrkshp. on Math. Aspects Fluids and Plasmas (1988) ed. G. Toscani, V. Boffi and S. Rionero. Springer Lect. Notes Math. 1460, 57-69.
50. “Analysis for the Evolution of Vortex Sheets,” Lect. Appl. Math., 28 (1991) 67-83.
51. “Singularities for Complex Hyperbolic Equations” 1990 Lectures in Complex Systems, vol. III, ed. L. Nadel and D. Stein, Santa Fe Institute (1990) 471-479.
52. “A Numerical Study of Riemann problem Solutions and Stability for a Viscous Conservation Law of Mixed Type” (with M. Affouf) SIAM J. Applied Math. 51 (1991) 605-634.
53. “Multi-Valued Solutions and Branch Point Singularities for Nonlinear Hyperbolic or Elliptic Systems” (with N. Ercolani, T. Hou and Y. Landis) Comm. Pure Appl. Math. 46 (1993) 453-499.
54. “Singularity Formation during Rayleigh-Taylor Instability” (with G. Baker and M. Siegel) J. Fluid Mech. 252 (1993) 51-78.
55. “Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry” (with X. Li) Transport Th. Stat. Phys. 21 (1992) 559-578.
56. “Singularity Formation for Complex Solutions of the 3D Incompressible Euler Equations” Physica D, 67 (1993) 1-18.
57. “The Collapse of an Axi-Symmetric, Swirling Vortex Sheet” (with X. Li and M. Shelley) Nonlinearity,
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58. “ A Quasi-Monte Carlo Approach to Particle Simulation of the Heat Equation” (with W. Morokoff) SIAM J. Num. Anal. 30 (1993) 1558-1573.
59. “Singularity formation for models of axi-symmetric swirling flow” (with P. Smereka) Proceedings of NATO Workshop on Singularities in Fluid, Plasmas and Optics (1992) 53-64.
60. “Analysis of the Nonlinear Boltzmann Equation” Proc. Eleventh International Transport Theory Conference, ed. Greenberg. (1989).
61. “Numerical Methods for Rarefied Gas Dynamics and Related Problems (with W. Morokoff) in preparation
62. “Quasi-Monte Carlo Integration” (with W. Morokoff) J. Comp. Phys. 122 (1995) 218-230.
63. “Quasi-Random Sequences and Their Discrepancies” (with W. Morokoff) SIAM J. Sci. Stat. Comp. 15 (1994) 1251-1279.
64. “Implicit Numerical Methods for Kinetic Equations” (with G. Russo) Proc. 4th Intl. Conf. Hyp. Systems, 1992., ed. A. Donato and F. Oliveri, in Notes on Numerical Fluid Mechanics 43 (1993) 504-511.
65. “Implicit Methods for Kinetic Equations” (with G. Russo) Proc. 18th Intl. Symp. Rar. Gas Dyn., ed. B. Shizgal and D Weaver, in Prog. Asto. Aero. 159 (1992) 344-352.
66. “Smoothness and Dimension Reduction in Quasi-Monte Carlo Methods” (with B. Moskowitz) Math. Comp. Modeling 23 (1996) 37-54.
67. “Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation” (with S. Jin and G. Russo) SIAM J. Numerical Analysis, 34 (1997) 246-281.
68. “Almost Optimal Convergence of the Point Vortex Method for Vortex Sheets using Numerical Filtering” (with T.Y. Hou and J. Lowengrub) Math. Comp. 68 (1999) 1465-1496.
69. “Optimal Pricing, Use and Exploration of Uncertain Natural Resources” (with P.S. Hagan, D.E. Woodward, and J.B. Keller) Applied Mathematical Finance 1 (1994) 87-108.
70. “Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD” (with Isaac Klapper and Gregory Steele) Comm. Math. Phys. 184 (1997) 443-455.
71. “Geometry of Singularities for the Steady Boussinesq Equations” (with Nicholas Ercolani and Gregory Steele) Selecta Math. N.S. 2 (1996) 369-414.
72. “Unfolding Partial Differential Equations and Their Singularities” (with Nicholas Ercolani) in preparation.
73. “Pole dynamics and oscillations for complex Burgers equation in the small dispersion limit” (with Nicholas Ercolani and David Senouf) Nonlinearity 9 (1996) 1671-1702.
74. “Modified Monte Carlo Methods Using Quasi-Random Sequences” (with Bradley Moskowitz) in Proceedings of the Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing. eds. H. Niederreiter and P. Shiue. Lecture Notes in Stat 106 (1995) 1-16.
75. “Zero viscosity limit for analytic solutions of Navier-Stokes equation on a half-space I. Existence for Euler and Prandtl equations” (with M. Sammartino) Comm. Math.Phys. 192 (1998) 433-461.
76. “Zero viscosity limit for analytic solutions of Navier-Stokes equation on a half-space II. Construction of the Navier-Stokes solution” (with M. Sammartino) Comm. Math.Phys. 192 (1998) 463-491
77. “Steady buoyant droplets with circulation” (with S.-S. Kao) Physics of Fluids, 10 (1998) 1891-1902.
78. “Quasi-Monte Carlo Computation of a Finance Problem” (with W. Morkoff) in “Proceedings: Workshop on Quasi-Monte Carlo Methods and Their Applications,” ed. K.T. Fang and F.J. Hickernell, 1996, 15-30, and UCLA CAM Report 96-16.
79. “Valuation of Mortgage Backed Securities Using the Quasi-Monte Carlo Method” (with W. Morkoff) Proc. Comp. Finance Conf., Stanford, 1996.
80. “Navier-Stokes equations on an exterior circular domain: construction of the solution and zero vis- cosity limit” (with M. Sammartino). COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 324 (1997) 861-866.
81. “Quasi-Monte Carlo Simulation of Random Walks in Finance” (with W. Morkoff) Monte Carlo and Quasi-Monte Carlo Methods 1996, Springer Lect. Notes Stat., eds. H. Niederreiter, P. Hellekalek, G. Larcher and P. Zinterhof, (1996) 340-352.
82. “Valuation of Mortgage Backed Securities Using the Quasi-Monte Carlo Method” (with W. Morkoff and A. Owen) J. Computational Finance, 1 (1997) 27-46.
83. “Zero viscosity limit for analytic solutions of Navier-Stokes equations” (with M. Sammartino) Rendiconti del Circolo Matematico di Palermo, Ser. II, Suppl. 45 (1996) 595-605.
84. “Monte Carlo and Quasi-Monte Carlo Methods” Acta Numerica (1998) 1-49.
85. “Kinetic model for a step edge in epitaxial growth” (with W. E, M. Gyure, B. Merriman and C. Ratsch) Phys. Rev. E 59 (1999) 6879-6887.
86. “Generic singularities for the steady Boussinesq equations” (with N. Ercolani and G. Steele) CRM Proc. and Lecture Notes 12 (1997) 17-23.
87. “Island dynamics and the level set method for epitaxial growth” (with M. Gyure, B. Merriman, S.J. Osher, C. Ratsch, D. Vvedensky and J. Zinck) Applied Math Letters 12 (1999) 13-22.
88. “Level set methods with applications to island dynamics” (with B. Merriman and S.J. Osher) Free Boundary Problems: Theory and Applications. I. Athanasopoulos, G. Makrakis and J.F. Rodrigues, eds., pp.51-70. Chapman & Hall, 1999.
89. M. Gyure, C. Ratsch, B. Merriman, R. Caflisch, S. Osher, J. Zinck, D. Vvedensky, Level set methods for simulation of epitaxial phenomena. Phys. Rev. E 58 (1998) R6927-30.
90. A. Engelmann, D. Meyer, J. Hauser, R. Caflisch Trajectory morphing applied to epitaxial thin film growth submitted to 1999 American Controls Conference.
91. R. Caflisch and D. Meyer A reduced order model for epitaxial growth
92. R. Caflisch, W. Morkoff, A. Owen, Valuation of Mortgage Backed Securities Using the Quasi-Monte Carlo Method (same as #82) reprinted in Monte Carlo. Methodolgies and Applications for Pricing and Risk Management, ed. B. Dupire, 301-314, RISK, London.
93. R. Caflisch, B. Moskowitz, Smoothness and dimension reduction in Quasi-Monte Carlo methods. J. Math. Comp. Modeling, (same as #66) reprinted in Monte Carlo. Methodolgies and Applications for Pricing and Risk Management, ed. B. Dupire, 315-326, RISK, London.
94. L. Pareschi, R.E. Caflisch An Implicit Monte Carlo Method for Rarefied Gas Dynamics I. The Space Homogeneous Case J. Comp. Phys. 154 (1999) 90-116.
95. R.E. Caflisch and M. Sammartino Existence and singularities for the Prandtl boundary layer equations ZAMM 80 (2000) 733-744.
96. S. Chen, M. Kang, B. Merriman, R.E. Caflisch, C. Ratsch, R. Fedkiw, M.F. Gyure, and S. Osher, “Level Set Method for Thin Film Epitaxial Growth”, Journ. Comp. Phys. 167 (2001) 475-500.
97. F. Gibou, C. Ratsch, S. Chen, M.F. Gyure, and R.E. Caflisch, “Rate Equations and Capture Numbers with Implicit Island Correlation”, Phys. Rev. B., Rapid Communication, Art. #115401, 6311 (2001) U528-U530.
98. B. Li and R.E. Caflisch “Stability of Step Edges in Molecular Beam Epitaxy Predicted by a Class of Island Dynamics Models”
99. M. C. Lombardo, R.E. Caflisch and M. Sammartino, “Asymptotic analysis of the linearized Navier- Stokes equation on an exterior circular domain: explicit solution and the zero viscosity limit” Comm. PDE 26 (2001) 335-354.
100. R.E. Caflisch and L. Pareschi, “Towards a hybrid Monte Carlo method for RGD” Proc. IMA Workshop
101. C. Ratsch, M. Kang, and R.E. Caflisch, “Atomic size effects in continuum modeling” Phys. Rev. B. Art. #020601, 6402(2001) U16-U18.
102. R. E. Caflisch and C. Connell. ”Atomistic Theory of Elasticity for Thin Epitaxial Films” J. Elasticity (2001) submitted.
103. A.C. Schindler, M. F. Gyure, D. D. Vvedensky, R. E. Caflisch, C. Connell and G. D. Simms. ”Theory of Strain Relaxation in Heteroepitaxial Systems” Phys. Rev. B submitted (2001) submitted.
104. “Birkhoff-Rott equation” Supplement III. Encyclopaedia of Mathematics. p. 71-72 Managing Editor: M. Hazewinkel Kluwer Academic Publishers, 2002.