On the quantum Boltzmann equation near Maxwellian and vacuum
From MaRDI portal
Publication:2669928
DOI10.1016/j.jde.2022.01.056OpenAlexW3127228058MaRDI QIDQ2669928
Publication date: 9 March 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00657
Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)
Related Items
An explicit coercivity estimate of the linearized quantum Boltzmann operator without angular cutoff ⋮ On the convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles ⋮ Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy ⋮ Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials ⋮ Discrete quantum kinetic equation ⋮ Linear half-space problems in kinetic theory: Abstract formulation and regime transitions ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation ⋮ Global existence and stability of solutions of spatially homogeneous Boltzmann equation for Fermi-Dirac particles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long time convergence of the Bose-Einstein condensation
- On the Cauchy problem for the homogeneous Boltzmann-Nordheim equation for bosons: local existence, uniqueness and creation of moments
- A new regularization mechanism for the Boltzmann equation without cut-off
- Bose condensates in interaction with excitations: a kinetic model
- Instantaneous filling of the vacuum for the full Boltzmann equation in convex domains
- Weakly nonlinear Schrödinger equation with random initial data
- On the Boltzmann equation for 2D Bose-Einstein particles
- Decay and continuity of the Boltzmann equation in bounded domains
- Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
- The Boltzmann equation for Bose-Einstein particles: regularity and condensation
- An \(L^2\) to \(L^\infty\) framework for the Landau equation
- Stability of the relativistic Maxwellian in a collisional plasma
- Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime
- On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: averaging compactness of weak solutions
- On the weak coupling limit of quantum many-body dynamics and the quantum Boltzmann equation
- On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions
- Kinetics of the Bose-Einstein condensation
- Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids
- The Boltzmann equation: global existence for a rare gas in an infinite vacuum
- Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- On stability and strong convergence for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles
- Classical solutions to the Boltzmann equation for molecules with an angular cutoff
- Entropy dissipation and long-range interactions
- A modified Boltzmann equation for Bose-Einstein particles: Isotropic solutions and long-time behavior
- Global existence of solutions of the Boltzmann equation for Bose-Einstein particles with anisotropic initial data
- On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation
- Long time strong convergence to Bose-Einstein distribution for low temperature
- Uniform in time lower bound for solutions to a quantum Boltzmann equation of bosons
- The Landau equation in a periodic box
- The Boltzmann equation for Bose-Einstein particles: condensation in finite time
- The spatially homogeneous Boltzmann equation for Bose-Einstein particles: rate of strong convergence to equilibrium
- The relativistic quantum Boltzmann equation near equilibrium
- A Kac model for fermions
- Finite time blow-up and condensation for the bosonic Nordheim equation
- On the quantum Boltzmann equation
- Some considerations on the derivation of the nonlinear quantum Boltzmann equation
- A Milne problem from a Bose condensate with excitations
- On the fundamental solution of a linearized Uehling-Uhlenbeck equation
- From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime
- Exponential decay for soft potentials near Maxwellian
- A short review on the derivation of the nonlinear quantum Boltzmann equations
- On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles
- Bose condensates in interaction with excitations: a two-component space-dependent model close to equilibrium
- The Boltzmann equation for Bose-Einstein particles: velocity concentration and convergence to equilibrium
- The Vlasov-Poisson-Landau system in a periodic box
- Global classical solutions of the Boltzmann equation without angular cut-off
- Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space
- ON THE WEAK-COUPLING LIMIT FOR BOSONS AND FERMIONS
- Global existence to Boltzmann equation with external force in infinite vacuum
- A derivation of a new set of equations at the onset of the Bose–Einstein condensation
- Stability in the Stefan Problem with Surface Tension (I)
- Entropy maximisation problem for quantum relativistic particles
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- The Boltzmann equation in the whole space
- Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation
- Almost Exponential Decay Near Maxwellian
- Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions
- Singular solutions for the Uehling–Uhlenbeck equation
- The Vlasov-Poisson-Boltzmann system near vacuum
- On spatially homogeneous solutions of a modified Boltzmann equation for Fermi-Dirac particles.
