Leif Arkeryd
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Swedish mathematician
Leif Arkeryd's AcademicInfluence.com Rankings
Leif Arkerydmathematics Degrees
Mathematics
#6054
World Rank
#8450
Historical Rank
Applied Mathematics
#444
World Rank
#475
Historical Rank
Measure Theory
#2925
World Rank
#3473
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Mathematics
Leif Arkeryd's Degrees
- PhD Mathematics Uppsala University
- Masters Mathematics Uppsala University
Why Is Leif Arkeryd Influential?
(Suggest an Edit or Addition)According to Wikipedia, Leif O. Arkeryd is professor emeritus of mathematics at Chalmers University of Technology. He is a specialist on the theory of the Boltzmann equation. Arkeryd earned his doctorate from Lund University in 1966, under the supervision of Jaak Peetre.
Leif Arkeryd's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Nonstandard Analysis (2005) (207)
- On the Boltzmann equation (1972) (175)
- Intermolecular forces of infinite range and the Boltzmann equation (1981) (123)
- On the Boltzmann equation part II: The full initial value problem (1972) (93)
- Stability in L1 for the spatially homogenous Boltzmann equation (1988) (87)
- L∞ estimates for the space-homogeneous Boltzmann equation (1983) (64)
- Nonstandard analysis : theory and applications (1997) (57)
- Measure solutions of the steady Boltzmann equation in a slab (1991) (52)
- Global existence in L1 for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation (1990) (50)
- A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal (1993) (45)
- On the Enskog equation with large initial data (1990) (45)
- On the convergence of solutions of the enskog equation to solutions of the boltzmann equation (1989) (44)
- On diffuse reflection at the boundary for the Boltzmann equation and related equations (1994) (42)
- Loeb solutions of the boltzmann equation (1984) (42)
- $L^1$ solutions to the stationary Boltzmann equation in a slab (2000) (41)
- On the strong L1 trend to equilibrium for the Boltzmann equation (1992) (37)
- Bose Condensates in Interaction with Excitations: A Kinetic Model (2012) (34)
- A compactness result related to the stationary Boltzmann equations in a slab, with applications to the existence theory (1995) (29)
- Boltzmann asymptotics with diffuse reflection boundary conditions (1997) (29)
- The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces (1998) (28)
- On the Milne Problem and the Hydrodynamic Limit for a Steady Boltzmann Equation Model (2000) (28)
- Stability for Rayleigh–Benard Convective Solutions of the Boltzmann Equation (2008) (26)
- On the Enskog equation in two space variables (1986) (25)
- Existence theorems for certain kinetic equations and large data (1988) (22)
- Ghost effect by curvature in planar Couette flow (2012) (19)
- The stationary Boltzmann equation in $\mathbb {R}^n$ with given indata (2002) (19)
- On a Taylor-Couette Type Bifurcation for the Stationary Nonlinear Boltzmann Equation (2006) (18)
- A Milne problem from a Bose condensate with excitations (2013) (18)
- Asymptotic behaviour of the Boltzmann equation with infinite range forces (1982) (18)
- On the $L^p$ Estimates for Elliptic Boundary Problems. (1966) (16)
- On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path (1986) (16)
- Bose Condensates in Interaction with Excitations: A Two-Component Space-Dependent Model Close to Equilibrium (2013) (14)
- On $L^p$ Estimates for Quasi-Elliptic Boundary Problems. (1969) (14)
- On the stationary Povzner equation in $\mathbf{R}^n$ (1999) (13)
- An existence theorem for a modified space-inhomogeneous, nonlinear Boltzmann equation (1972) (13)
- A non-standard approach to the Boltzmann equation (1981) (13)
- THE EVOLUTION OF¿/Nonstandard Analysis (2005) (12)
- On a functional equation arising in the kinetic theory of gases (1990) (12)
- On Low Temperature Kinetic Theory; Spin Diffusion, Bose Einstein Condensates, Anyons (2012) (12)
- The Stationary Nonlinear Boltzmann Equation in a Couette Setting with Multiple, Isolated Lq-solutions and Hydrodynamic Limits (2005) (12)
- On the stationary Povzner equation in Rn (1998) (11)
- A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem (2010) (11)
- A large data existence result for the stationary Boltzmann equation in a cylindrical geometry (2005) (11)
- STABILITY OF THE LAMINAR SOLUTION OF THE BOLTZMANN EQUATION FOR THE BENARD PROBLEM (2008) (11)
- Asymptotic techniques for kinetic problems of Boltzmann type (2007) (10)
- Thom's Theorem for Banach Spaces (1979) (10)
- Some examples of NSA methods in kinetic theory (1993) (10)
- On the stationary Boltzmann equation in ℝn (2000) (8)
- On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation (2016) (7)
- "The stationary nonlinear Boltzmann equation in a Couette setting; isolated solutions and non-uniqueness" (2003) (6)
- Exponential stability of the solutions to the Boltzmann equation for the Benard problem (2012) (6)
- Nonequilibrium Problems in Many-Particle Systems (1993) (6)
- Well-Posedness of the Cauchy Problem for a Space-Dependent Anyon Boltzmann Equation (2014) (6)
- A condensation-evaporation problem in kinetic theory (1998) (6)
- Nonstandard Analysis and its Applications: THE NON-LINEAR BOLTZMANN EQUATION FAR FROM EQUILIBRIUM (1988) (5)
- A kinetic equation for spin polarized Fermi systems (2012) (4)
- The trend to a stationary state for the Lebowitz Stick model (1993) (4)
- On a Boltzmann equation for Haldane statistics (2017) (4)
- "The stationary nonlinear Boltzmann equation in a Couette setting; L^q-solutions and positivity" (2003) (4)
- On the stationary Boltzmann equation (2002) (4)
- 1 4 O ct 2 01 4 ON LOW TEMPERATURE KINETIC THEORY ; SPIN DIFFUSION (2018) (3)
- The Broadwell Model in a Box: Strong L1-Convergence to Equilibrium (1995) (3)
- Stationary Solutions to the Two-Dimensional Broadwell Model (2019) (3)
- The Stationary Nonlinear Boltzmann Equation in a Couette Setting with Multiple, Isolated L q -solutions (2005) (3)
- Imperfect bifurcation and Banach space singularity theory (1981) (3)
- On stationary solutions to normal, coplanar discrete Boltzmann equation models (2020) (2)
- Infinite range forces and strong L 1-asymptotics for the space-homogeneous boltzmann equation (1995) (2)
- Some Properties of Loeb‐Sobolev Spaces (1986) (1)
- A linearized kinetic problem on the half-line with collision operator from a Bose condensate with excitations (2013) (1)
- A counter-example to a conjecture by Deakin (1978) (1)
- A priori estimates for hypoelliptic differential equations in a half-space (1968) (1)
- On the Cauchy problem with large data for the space-dependent Boltzmann Nordheim equation III (2018) (1)
- On stationary kinetic systems of Boltzmann type and their fluid limits (2004) (1)
- Applications of NSA to Mathematical Physics (1997) (1)
- Bose Condensates in Interaction with Excitations: A Kinetic Model (2012) (0)
- The kinetic and dynamic behaviour of a simple gas model (1992) (0)
- Book review; Molecular gas dynamics by Y Sone (2007) (0)
- On the stationary oltzmann equation in Rn (1999) (0)
- On low temperature kinetic theory; spin diffusion, anyons, Bose Einstein condensates (2014) (0)
- The Boltzmann-Enskog equation with large data; wellposedness and regularity (1989) (0)
- On Low Temperature Kinetic Theory; Spin Diffusion, Bose Einstein Condensates, Anyons (2013) (0)
- A Remark about the Final Aperiodic Regime for Maps on the Interval (1984) (0)
- CROSS SECTIONS FOR NEUTRON INELASTIC SCATTERING AND (n,2n) PROCESSES. A Review of Available Experimental and Theoretical Data (1962) (0)
- Discrete velocity Boltzmann equation in the plane: stationary solutions (2021) (0)
- Bose Condensates in Interaction with Excitations: A Two-Component Space-Dependent Model Close to Equilibrium (2015) (0)
- On the generation of measure valued solutions on Rn from Loeb solutions on ∗Rn for the Boltzmann equation (1989) (0)
- Nonequilibrium problems in many-particle systems : lectures given at the 3rd Session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini, Italy, June 15-27, 1992 (1993) (0)
- An inequality in kinetic theory (1996) (0)
- Erratum to: Ghost effect by curvature in planar Couette flow [1] (2012) (0)
- A Time-wise Approximated Boltzmann Equation (1981) (0)
- A discussion of some recent results on stationary boundary value problems for equations of Boltzmann type (2001) (0)
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