Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held December 3--9, 2017

DOI10.4171/OWR/2017/56zbMath1409.00062WikidataQ128724800 ScholiaQ128724800MaRDI QIDQ1731966

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Publication date: 15 March 2019

Published in: Oberwolfach Reports (Search for Journal in Brave)

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) PDEs in connection with quantum mechanics (35Q40) Collections of abstracts of lectures (00B05) Transport processes in time-dependent statistical mechanics (82C70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06) Open systems, reduced dynamics, master equations, decoherence (81S22) Vlasov equations (35Q83) Boltzmann equations (35Q20)

Uses Software

• FlowLab

Cites Work

• Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs
• Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• THE LINEAR BOLTZMANN EQUATION FOR LONG-RANGE FORCES: A DERIVATION FROM PARTICLE SYSTEMS
• A New Approach to the Creation and Propagation of Exponential Moments in the Boltzmann Equation
• On the wave turbulence theory for stratified flows in the ocean
• Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty
• Bogoliubov Spectrum of Interacting Bose Gases
• Hypocoercivity for linear kinetic equations conserving mass
• The boundedness-by-entropy method for cross-diffusion systems
• Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction
• Reduced fluid models for self-propelled particles interacting through alignment
• Closure of the Strongly Magnetized Electron Fluid Equations in the Adiabatic Regime
• Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type
• On near resonances and symmetry breaking in forced rotating flows at moderate Rossby number
• Entropy, Duality, and Cross Diffusion
• Singular solutions for the Uehling–Uhlenbeck equation
• Le problème de Cauchy pour les équations différentielles d'un fluide général
• Asymptotic Transition from Kinetic to Adiabatic Electrons along Magnetic Field Lines
• Hypocoercivity for a Linearized Multispecies Boltzmann System
• Stochastic Problems in Physics and Astronomy
• A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions.
• A free probability analogue of the Wasserstein metric on the trace-state space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Special quasirandom structures: a selection approach for stochastic homogenization
• BV-regularity of the Boltzmann equation in non-convex domains
• On the mean field and classical limits of quantum mechanics
• From the Hartree dynamics to the Vlasov equation
• Cauchy problem and exponential stability for the inhomogeneous Landau equation
• Exponential stability of slowly decaying solutions to the kinetic-Fokker-Planck equation
• Mean field limit and propagation of chaos for Vlasov systems with bounded forces
• The excitation spectrum for weakly interacting Bosons in a trap
• Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions
• Non-isothermal boundary in the Boltzmann theory and Fourier law
• An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy
• Bose condensates in interaction with excitations: a kinetic model
• Excitation spectrum of interacting bosons in the mean-field infinite-volume limit
• Fractional diffusion limit of a linear kinetic equation in a bounded domain
• Regularity of the Boltzmann equation in convex domains
• The Schrödinger equation in the mean-field and semiclassical regime
• On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation
• An optimal variance estimate in stochastic homogenization of discrete elliptic equations
• A fractional porous medium equation
• Formation and propagation of discontinuity for Boltzmann equation in non-convex domains
• A one-dimensional model for dispersive wave turbulence
• Nonlinear porous medium flow with fractional potential pressure
• Decay and continuity of the Boltzmann equation in bounded domains
• Fractional diffusion limit for collisional kinetic equations
• Formulation of the theory of turbulence in an incompressible fluid
• The excitation spectrum of Bose gases interacting through singular potentials
• Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials
• Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Extremals of functionals with competing symmetries
• Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels
• Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
• The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
• Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
• Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics
• Vlasov equations
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• A limit theorem for stochastic acceleration
• Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
• On the initial value problem of the motion of compressible viscous fluid, especially on the problem of uniqueness
• On Wigner measures
• Weak solutions of the curve shortening flow
• Gelation in coagulation and fragmentation models
• On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant
• Stationary solutions to the Boltzmann equation in the hydrodynamic limit
• Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics
• Global existence analysis of cross-diffusion population systems for multiple species
• On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation
• Applications of improved duality lemmas to the discrete coagulation-fragmentation equations with diffusion
• A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions
• Anomalous diffusion limit of kinetic equations in spatially bounded domains
• Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
• Hydrodynamic structure of the augmented Born-Infeld equations
• Diffusion asymptotics of a kinetic model for gaseous mixtures
• The Boltzmann equation for Bose-Einstein particles: condensation in finite time
• A quantum Boltzmann equation for Haldane statistics and hard forces; the space-homogeneous initial value problem
• The Maxwell-Boltzmann approximation for ion kinetic modeling
• Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
• Hypocoercivity without confinement
• Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
• Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations
• Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
• Finite time blow-up and condensation for the bosonic Nordheim equation
• Equilibria of homogeneous functionals in the fair-competition regime
• Entropic structure and duality for multiple species cross-diffusion systems
• Smoothness of moments of the solutions of discrete coagulation equations with diffusion
• An optimal error estimate in stochastic homogenization of discrete elliptic equations
• On the exponential decay to equilibrium of the degenerate linear Boltzmann equation
• Analysis of a parabolic cross-diffusion population model without self-diffusion
• On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles
• Global existence for a class of strongly coupled parabolic systems
• A diffusion limit for a test particle in a random distribution of scatterers
• On \(L^1\) exponential trend to equilibrium for conservative linear kinetic equations on the torus
• Entropy Methods for Diffusive Partial Differential Equations
• Fractional-Diffusion--Advection Limit of a Kinetic Model
• Mean-Field Evolution of Fermionic Mixed States
• Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities
• ASYMPTOTIC FIXED-SPEED REDUCED DYNAMICS FOR KINETIC EQUATIONS IN SWARMING
• Improved Duality Estimates and Applications to Reaction-Diffusion Equations
• Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries
• The Patlak–Keller–Segel Model and Its Variations: Properties of Solutions via Maximum Principle
• Green’s function and pointwise convergence for compressible Navier-Stokes equations
• Fractional diffusion limit for collisional kinetic equations: A moments method
• Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
• On the Entropic Structure of Reaction-Cross Diffusion Systems
• Well-Posedness of the Cauchy Problem for a Space-Dependent Anyon Boltzmann Equation
• Analysis of a population model with strong cross-diffusion in unbounded domains
• Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Blowup in Reaction-Diffusion Systems with Dissipation Of Mass
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• On the theory of Lorentz gases with long range interactions
• The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime

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