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R. Illner · SciRah

Researcher profile · Semantic Scholar

R. Illner

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R. Illner — researcher profile on SciRah

h-index: 27
Works: 118
Citations: 4,010

Most-cited papers

The mathematical theory of dilute gases
C. Cercignani, R. Illner, M. Pulvirenti
19941,582 citations
Semantic Scholar
Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
T. Platkowski, R. Illner
1988261 citations
Semantic Scholar
A convergence proof for Nanbu's simulation method for the full Boltzmann equation
H. Babovsky, R. Illner
1989164 citations
Semantic Scholar
Global validity of the Boltzmann equation for two- and three-dimensional rare gas in vacuum: Erratum and improved result
R. Illner, M. Pulvirenti
1989123 citations
Semantic Scholar
Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
R. Illner, P. Zweifel, H. Lange
1994118 citations
Semantic Scholar
Time Decay of the Solutions of the Vlasov–Poisson System in the Plasma Physical Case
R. Illner, G. Rein
199694 citations
Semantic Scholar
Theoretical Biology and Medical Modelling Open Access a Stochastic Model for Circadian Rhythms from Coupled Ultradian Oscillators
R. Edwards, R. Gibson, R. Illner, V. Paetkau
200757 citations
Semantic Scholar
Vlasov-Fokker-Plank Models for Multilane Traffic Flow
R. Illner, A. Klar, T. Materne
200357 citations Open access
Semantic Scholar
Measure solutions of the steady Boltzmann equation in a slab
L. Arkeryd, C. Cercignani, R. Illner
199153 citations
Semantic Scholar
A New Derivation of Jeffery’s Equation
M. Junk, R. Illner
200752 citations
Semantic Scholar
STATIONARY SOLUTIONS OF QUASI-LINEAR SCHRODINGER-POISSON SYSTEMS
R. Illner, O. Kavian, H. Lange
199842 citations Open access
Semantic Scholar
Limitations on the control of Schrödinger equations
R. Illner, H. Lange, Holger Teismann
200638 citations Open access
Semantic Scholar
ANALYSIS AND SIMULATIONS OF A REFINED FLOCKING AND SWARMING MODEL OF CUCKER-SMALE TYPE
M. Agueh, R. Illner, Ashlin Richardson
201135 citations
Semantic Scholar
Theoretical Biology and Medical Modelling Open Access a Model for Generating Circadian Rhythm by Coupling Ultradian Oscillators
V. Paetkau, R. Edwards, R. Illner
200634 citations
Semantic Scholar
A boundary value problem for the two dimensional Broadwell model
C. Cercignani, R. Illner, M. Shinbrot
198832 citations
Semantic Scholar
On the number of collisions in a hard sphere particle system in all space
R. Illner
198931 citations
Semantic Scholar
Semiclassical, $t\rightarrow \infty $ asymptotics and dispersive effects for Hartree-Fock systems
I. Gasser, R. Illner, P. Markowich, C. Schmeiser
199830 citations Open access
Semantic Scholar
A derivation of the BBGKY-hierarchy for hard sphere particle systems
R. Illner, M. Pulvirenti
198730 citations
Semantic Scholar
On blowup for gain‐term‐only classical and relativistic Boltzmann equations
H. Andréasson, S. Calogero, R. Illner
200428 citations Open access
Semantic Scholar
A boundary value problem for discrete-velocity models
C. Cercignani, R. Illner, M. Shinbrot
198727 citations
Semantic Scholar
Edge removal in random contact networks and the basic reproduction number
D. Koch, R. Illner, Junling Ma
2013Journal of Mathematical Biology25 citations
Semantic Scholar
On nonlinear stationary half-space problems in discrete kinetic theory
C. Cercignani, R. Illner, M. Pulvirenti, M. Shinbrot
198824 citations
Semantic Scholar
Semiclassical , t → ∞ asymptotics and dispersive effects for Hartree-Fock systems
Analyse Numérique, I. Gasser, R. Illner, P. Markowich +1 more
200923 citations
Semantic Scholar
On Stop-and-Go waves in dense traffic
M. Herty, R. Illner
200822 citations Open access
Semantic Scholar
On Diffusive Equilibria in Generalized Kinetic Theory
C. Cercignani, R. Illner, C. Stoica
200122 citations
Semantic Scholar
On quasi-linear Schrödinger-Poisson systems
R. Illner, H. Lange, B. Toomire, P. Zweifel
199722 citations
Semantic Scholar
Relative entropy maximization and directed diffusion equations
R. Illner, H. Neunzert
199321 citations
Semantic Scholar
Finiteness of the number of collisions in a hard sphere particle system in all space, II: Arbitrary diameters and masses
R. Illner
199021 citations
Semantic Scholar
Mathematical Modelling: A case studies approach
R. Illner
200420 citations
Semantic Scholar
Classical solvability of the relativistic Vlasov–Maxwell system with bounded spatial density
R. Sospedra‐Alfonso, R. Illner
201019 citations Open access
Semantic Scholar
A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients
Jean-Philippe Bartier, Jean Dolbeault, R. Illner, M. Kowalczyk
200719 citations Open access
Semantic Scholar
A kinetic model for vehicular traffic : Existence of stationary solutions
R. Illner, A. Klar, H. Lange, A. Unterreiter +1 more
199917 citations Open access
Semantic Scholar
Boundary value problems for the steady Boltzmann equation
R. Illner, J. Struckmeier
199617 citations
Semantic Scholar
A random discrete velocity model and approximation of the Boltzmann equation
R. Illner, W. Wagner
199317 citations
Semantic Scholar
A note on the exact internal control of nonlinear Schrödinger equations
R. Illner, H. Lange, Holger Teismann
2002CRM Workshop15 citations
Semantic Scholar
On Vlasov‐Fokker‐Planck Type Kinetic Models for Multilane Traffic Flow
R. Illner, A. Klar, T. Materne
200314 citations Open access
Semantic Scholar
Error Estimates for Galerkin Approximations to the Periodic Schrödinger‐Poisson System
S. Bohun, R. Illner, H. Lange, P. Zweifel
199614 citations Open access
Semantic Scholar
A derivation of the Aw-Rascle traffic models from Fokker-Planck type kinetic models
R. Illner, C. Kirchner, René Pinnau
200913 citations Open access
Semantic Scholar
Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger – Poisson systems in R 3
R. Illner, B. Toomire, P. Zweifel
200812 citations
Semantic Scholar
On shock wave solutions for discrete velocity models of the Boltzmann equation
C. Bose, R. Illner, S. Ukai
199811 citations
Semantic Scholar
Global Classical Solutions of the Relativistic Vlasov–Darwin System with Small Cauchy Data: The Generalized Variables Approach
R. Sospedra‐Alfonso, M. Agueh, R. Illner
201110 citations Open access
Semantic Scholar
Collision Integrals for Attractive Potentials
A. Bobylev, R. Illner
199910 citations
Semantic Scholar
Numerical solution of the Boltzmann equation by random discrete velocity models
R. Illner, S. Rjasanow
199410 citations
Semantic Scholar
Domain Decomposition: Linking Kinetic and Aerodynamic Descriptions
R. Illner, H. Neunzert
199310 citations
Semantic Scholar
Coupling of non-local driving behaviour with fundamental diagrams
M. Herty, R. Illner
20129 citations Open access
Semantic Scholar
Smoluchowski coagulation models of sea ice thickness distribution dynamics
D. Godlovitch, R. Illner, A. Monahan
20119 citations
Semantic Scholar
A CLASS OF L^-BOUNDED PSEUDO-DIFFERENTIAL OPERATORS
R. Illner
20109 citations
Semantic Scholar
Finite-Range Repulsive Systems of Finitely Many Particles
Xinfu Chen, R. Illner
20049 citations
Semantic Scholar
Marketing new products: Bass models on random graphs
Mei-Li Li, R. Illner, R. Edwards, Junling Ma
20158 citations Open access
Semantic Scholar
Analytical and numerical investigations of refined macroscopictraffic flow models
M. Herty, R. Illner
20108 citations
Semantic Scholar

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