New Journal by AIMS: Kinetic and Related Models

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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