| The mathematical theory of dilute gases C Cercignani, R Illner, M Pulvirenti Springer Science & Business Media, 2013 | 1951 | 2013 |
| Discrete velocity models of the Boltzmann equation: a survey on the mathematical aspects of the theory T Platkowski, R Illner SIAM review 30 (2), 213-255, 1988 | 306 | 1988 |
| The Boltzmann equation: global existence for a rare gas in an infinite vacuum R Illner, M Shinbrot Communications in mathematical physics 95 (2), 217-226, 1984 | 244 | 1984 |
| A convergence proof for Nanbu’s simulation method for the full Boltzmann equation H Babovsky, R Illner SIAM journal on numerical analysis 26 (1), 45-65, 1989 | 194 | 1989 |
| Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum R Illner, M Pulvirenti Communications in mathematical physics 105, 189-203, 1986 | 151 | 1986 |
| Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems R Illner, PF Zweifel, H Lange Mathematical methods in the applied sciences 17 (5), 349-376, 1994 | 135 | 1994 |
| Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result R Illner, M Pulvirenti Communications in mathematical physics 121, 143-146, 1989 | 112 | 1989 |
| Time decay of the solutions of the Vlasov–Poisson system in the plasma physical case R Illner, G Rein Mathematical methods in the applied sciences 19 (17), 1409-1413, 1996 | 98 | 1996 |
| On simulation methods for the Boltzmann equation R Illner, H Neunzert Transport Theory and Statistical Physics 16 (2-3), 141-154, 1987 | 86 | 1987 |
| Vlasov-Fokker-Plank models for multilane traffic flow R Illner, A Klar, T Materne Communications in Mathematical Sciences 1 (1), 1-12, 2003 | 79 | 2003 |
| A new derivation of Jeffery’s equation M Junk, R Illner Journal of Mathematical Fluid Mechanics 9, 455-488, 2007 | 71 | 2007 |
| An existence theorem for the unmodified Vlasov equation R Illner, H Neunzert Mathematical Methods in the Applied Sciences 1 (4), 530-544, 1979 | 70 | 1979 |
| Measure solutions of the steady Boltzmann equation in a slab L Arkeryd, C Cercignani, R Illner Communications in mathematical physics 142, 285-296, 1991 | 69 | 1991 |
| Limitations on the control of Schrödinger equations R Illner, H Lange, H Teismann ESAIM: Control, Optimisation and Calculus of Variations 12 (4), 615-635, 2006 | 52 | 2006 |
| Global existence results for discrete velocity models of the Boltzmann equation in several dimensions R Illner Journal de Mecanique Theorique et Appliquee 1 (4), 611-622, 1982 | 48 | 1982 |
| Mathematical modelling: a case studies approach R Illner American Mathematical Soc., 2005 | 47 | 2005 |
| Global existence for two‐velocity models of the Boltzmann equation R Illner, H Neunzert Mathematical Methods in the Applied Sciences 1 (2), 187-193, 1979 | 47 | 1979 |
| A boundary value problem for discrete-velocity models C Cercignani, R Illner, M Shinbrot | 44 | 1987 |
| Stationary solutions of quasi-linear Schrödinger–Poisson systems R Illner, O Kavian, H Lange journal of differential equations 145 (1), 1-16, 1998 | 43 | 1998 |
| A derivation of the BBGKY-hierarchy for hard sphere particle systems R Illner, M Pulvirenti Transport Theory and Statistical Physics 16 (7), 997-1012, 1987 | 43 | 1987 |
