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Kinetic FRG Papers -- 2009

Shi Jin and Peng Qi and Zhiwen Zhang
An Eulerian surface hopping method for the Schr\"{o}dinger equation with conical crossings
PrePrint, FRG-2009-22
Hao Wu and Xu Yang
A hybrid phase-flow method for solving the Liouville equation in bounded domain
PrePrint, FRG-2009-21
Shi Jin, Hao Wu and Xu Yang
Semi-Eulerian and high order Gaussian beam methods for the schrodinger equationin the semiclassical regime
PrePrint, FRG-2009-20
C. David Levermore, W. Sun and
Local well-posedness of a dispersive Navier-Stokes system
Submitted, FRG-2009-19
Cory D. Hauck and Ryan G. McClarren
Positive P_N closure
Submitted, FRG-2009-18
C. David Levermore, Weiran Sun and Konstantina Trivisa
Local well-posedness of a ghost effect system
Submitted, FRG-2009-17
C. David Levermore and Weiran Sun
Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels
Submitted, FRG-2009-16
Francis Filbet and Shi Jin
A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources
PrePrint, FRG-2009-15
Juhi Jang and Ning Jiang
Acoustic limit of the Boltzmann equation: classical solutions
To Appear, Discrete and Continuous Dynamical Systems - Series A FRG-2009-14
Ning Jiang and C. David Levermore
Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy
Submitted, Archive of Rational Mechanics and Analysis FRG-2009-13
R. Alonso and I.M.Gamba
Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with integrable angular cross section
Submitted, FRG-2009-12
R. Alonso and E Carneiro and I.M.Gamba
Convolution inequalities for the Boltzmann collision operator,
PrePrint, FRG-2009-11
Shi Jin and Yingzhe Shi
A micro-macro decomposition based asymptotic-preservingscheme for the multispecies Boltzmann equation
PrePrint, FRG-2009-10
Shi Jin, Hao Wu and Xu Yang
A numerical study of the Gaussian beam methods for one-dimensional Schr\"odinger-Poisson equations
PrePrint, FRG-2009-9
Ning Jiang, C. David Levermore and Nader Masmoudi
Remarks on the Acoustic Limit for the Boltzmann Equation
Submitted, Communications in Partial Differential Equations FRG-2009-8
C. Ringhofer
Sub-band diffusion models for quantum transport in a strong force regime
Submitted, SIAM J. Appl. Math. FRG-2009-7
Pierre Degond, Fabrice Deluzet, Laurent Navoret, An-Bang Sun and Marie-Helene Vignal
Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality
PrePrint, FRG-2009-6
R. Belaouar, N. Crouseilles, P. Degond and E. Sonnendrucker
An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit
PrePrint, FRG-2009-5
Kenneth H. Karlsen and Suleyman Ulusoy
Stability of entropy solutions for Levy mixed hyperbolic-parabolic equations
Submitted, Journal of Differential Equations FRG-2009-4
Ali Unver and Christian Ringhofer
Estimation of Transport Coefficients in Re-entrant Factory Models
Submitted, International Journal of Production Research FRG-2009-3
Pierre Degond and Hailiang Liu
Kinetic models for polymers with inertial effects
PrePrint, FRG-2009-2
Ricardo Alonso
Existence of global solutions to the Cauchy problem for the inelastic BE with near-vacuum data
To Appear, Indiana Univ. Math. Journal FRG-2009-1



Kinetic FRG Papers -- 2008

Shi Jin, Hao Wu and Zhongyi Huang
A hybrid phase-flow method for Hamiltonian systems with discontinuous Hamiltonians
Published, SIAM Journal on Scientific Computing 2 1303-1321 FRG-2008-29
Jeffrey Haack and Cory Hauck
Oscillatory behavior of asymptotic-preserving splitting Methods for a linear model of diffusive relaxation
Published, Kinetic and Related Models 1 573-590 FRG-2008-28
Ali Unver, Christian Ringhofer and Dieter Armbruster
A Hyperbolic Relaxation Model for Product Flow in Complex Production Networks
To Appear, AIMS 2008 Conference Proceedings FRG-2008-27
Shi Jin, Hao Wu and Xu Yang and Zhongyi Huang
Bloch Decomposition-Based Gaussian Beam Method for the Schr\"odinger equation
PrePrint, FRG-2008-26
C. Ringhofer
A LEVEL SET APPROACH TO MODELING GENERAL SERVICE RULES IN SUPPLY CHAINS
Submitted, Communications in Mathematical Sciences FRG-2008-25
Shi Jin and Kyle Novak
A coherent semiclassical transport model for pure-state quantum scattering
PrePrint, FRG-2008-24
Hantaek Bae
Global well-posedness of the free boundary value problem of the Navier-Stokes equations with surface tension
PrePrint, FRG-2008-23
Hantaek Bae
Remark on the blow up conditions to the incompressible viscoelastic fluid system
Submitted, Czechoslovak Mathematical Journal FRG-2008-22
Hantaek Bae
Global well-posedness of dissipative quasi-geostrophic equations in the critical spaces
Published, Procedeedings of AMS 136 257-261 FRG-2008-21
Yu-Lin Lin
Existence and uniqueness of the Hele-Shaw problem with injection
PrePrint, FRG-2008-20
Yu-Lin Lin
Large-time rescaling behaviors for large data to the Hele-Shaw problem
PrePrint, FRG-2008-19
Yu-Lin Lin
Large-time rescaling behaviors of some rational type solutions to the Polubarinova-Galin equation with injection
PrePrint, FRG-2008-18
Wilfrid Gangbo and Hwa Kil Kim and Tommaso Pacini
Differential Forms on Wasserstein Space and Infinite-dimensional Hamiltonian Systems
PrePrint, FRG-2008-17
Dionisios Margetis and Athanasios E. Tzavaras
Kinetic hierarchies and macroscopic limits for crystalline steps in 1+1 dimensions
Submitted, Multiscale Modeling Simulation 27 FRG-2008-16
A. Unver, C. Ringhofer and D. Armbruster
A hyperbolic relaxation model for product flow in complex production networks
PrePrint, FRG-2008-15
M. La Marca, D. Armbruster, M. Herty and C. Ringhofer
Control of continuum models of production systems
PrePrint, FRG-2008-14
S. Goettlich, M. Herty and C. Ringhofer
Optimization of order policies in supply networks
PrePrint, FRG-2008-13
Pierre Degond, Simone Goettlich, Axel Klar, M. Seaid and Andreas Unterreiter
Derivation of a kinetic model from a stochastic particle system
To Appear, Kinetid and Related Models FRG-2008-12
Pierre Degond, Fabrice Deluzet, Afeintou Sangam and Marie-Hélène Vignal
An Asymptotic Preserving Scheme for the Euler equations in a strong magnetic field
Submitted, FRG-2008-11
Pierre Degond and Sébastien Motsch
Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior
Published, J Stat Phys 131 989–1021 FRG-2008-10
Pierre Degond and Sebastien Motsch
Continuum limit of self-driven particles with orientation interaction
Published, Mathematical Models and Methods in Applied Sciences 18 1193–1215 FRG-2008-9
Hailiang Liu and Christof Sparber
Rigorous derivation of the hydrodynamical equations for rotating superfluids
Published, Mathematical Models and Methods in Applied Sciences 18 689--706 FRG-2008-8
Hailiang Liu and Zhongming Wang
A Bloch Band Based Level Set Method for Computing the Semiclassical Limit of Schr\"odinger Equation
Submitted, Journal of Computational Physics FRG-2008-7
Ricardo Alonso and Irene M. Gamba
Propagation of L^1 and L^∞ Maxwellian weighted bounds for derivatives of solutions to homogeneous elastic Boltzmann equation
To Appear, JMPA, FRG-2008-6
Irene M. Gamba, Vladislav Panferov and Cedric Villani
Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
To Appear, Archive Rat. Mech. Anal., FRG-2008-5
Irene M. Gamba and Sri Harsha Tharkabhushanam
Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states
Submitted, FRG-2008-4
Florent Berthelin, Athanasios Tzavara and Alexis Vasseur
From discrete velocity Boltzmann equations to gas dynamics before shocks
Preprint, FRG-2008-3
Shi Jin, Hao Wu and Xu Yang
Gaussian beam methods for the Schrodinger equation in the semi-classical regime: Lagrangian and Eulerian formulations
Submitted, FRG-2008-2
Seung-Yeal Ha and Eitan Tadmor
From particle to kinetic and hydrodynamic descriptions of flocking
Published, Kinetic and Related Models 1(3) 415-435 FRG-2008-1



Kinetic FRG Papers -- 2007

Suleyman Ulusoy
On a new family of higher order nonlinear degenerate parabolic equations
Published, Applied Mathematics Research eXpress Vol 2007 28 pages FRG-2007-3
Eric A. Carlen and Suleyman Ulusoy
Asymptotic equipartition and long time behavior of solutions of a thin-film equation
Published, Journal of Differential Equations 241 279-292 FRG-2007-2
Suleyman Ulusoy
A new family of higher order nonlinear degenerate parabolic equations
Published, Nonlinearity 20 685-712 FRG-2007-1



Kinetic FRG Papers -- 2005

Eric A. Carlen and Suleyman Ulusoy
An entropy dissipation - entropy estimate for a thin film type equation
Published, Communications in Mathematical Sciences 3 171-178 FRG-2005-1

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