Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations
DOI10.1007/s40324-021-00281-yOpenAlexW4205973640MaRDI QIDQ6159526
Publication date: 20 June 2023
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-021-00281-y
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Perturbations in context of PDEs (35B20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- BV-regularity of the Boltzmann equation in non-convex domains
- Cauchy problem and exponential stability for the inhomogeneous Landau equation
- Exponential stability of slowly decaying solutions to the kinetic-Fokker-Planck equation
- On the Cauchy problem for the homogeneous Boltzmann-Nordheim equation for bosons: local existence, uniqueness and creation of moments
- Asymptotic stability of the Boltzmann equation with Maxwell boundary conditions
- The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials
- The Boltzmann equation for a multi-species mixture close to global equilibrium
- Non-isothermal boundary in the Boltzmann theory and Fourier law
- From Newton to Boltzmann: hard spheres and short-range potentials
- The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
- A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations
- Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off
- Instantaneous filling of the vacuum for the full Boltzmann equation in convex domains
- From the Boltzmann equation to the incompressible Navier-Stokes equations on the torus: a quantitative error estimate
- Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system
- Regularity of the Boltzmann equation in convex domains
- The initial boundary value problem for the Boltzmann equation with soft potential
- The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error
- Global well-posedness of the Boltzmann equation with large amplitude initial data
- Hilbert expansion from the Boltzmann equation to relativistic fluids
- Global existence and full regularity of the Boltzmann equation without angular cutoff
- The stationary Boltzmann equation for a two-component gas in the slab with different molecular masses
- Energy method for Boltzmann equation
- Formation and propagation of discontinuity for Boltzmann equation in non-convex domains
- The Boltzmann equation near Maxwellian in the whole space
- Decay of solutions to the Cauchy problem for the linearized Boltzmann equation with some external-force potential
- On the Boltzmann equation for diffusively excited granular media
- Decay and continuity of the Boltzmann equation in bounded domains
- Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
- The propagation of chaos for a rarefied gas of hard spheres in the whole space
- Stability of global equilibrium for the multi-species Boltzmann equation in \(L^\infty\) settings
- Perturbative theory for the Boltzmann equation in bounded domains with different boundary conditions
- The Boltzmann equation for Bose-Einstein particles: regularity and condensation
- Steady solutions of the Boltzmann equation for a gas flow past an obstacle. I: Existence
- Measure solutions of the steady Boltzmann equation in a slab
- Stability of the Boltzmann equation with potential forces on torus
- Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials
- Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails
- Cooling process for inelastic Boltzmann equations for hard spheres. I: The Cauchy problem
- Cooling process for inelastic Boltzmann equations for hard spheres. II: Self-similar solutions and tail behavior
- Uniqueness for a class of spatially homogeneous Boltzmann equations without angular cutoff
- Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
- Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
- Instantaneous exponential lower bound for solutions to the Boltzmann equation with Maxwellian diffusion boundary conditions
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Convergence to equilibrium in large time for Boltzmann and B.G.K. equations
- On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity
- On collisionless transport semigroups with boundary operators of norm one
- Problem of evaporation-condensation for a two component gas in the slab
- Kinetics of the Bose-Einstein condensation
- From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system
- Phase transition in a Vlasov-Boltzmann binary mixture
- Hypocoercivity for kinetic equations with linear relaxation terms
- The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
- Global classical solutions to the Boltzmann equation with external force
- Local solutions to the initial and initial boundary value problem for the Boltzmann equation with an external force. I
- The Boltzmann equation: global existence for a rare gas in an infinite vacuum
- Boundary value problems in abstract kinetic theory
- Steady solutions of the Boltzmann equation for a gas flow past an obstacle. II. Stability
- Existence theorems for certain kinetic equations and large data
- Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
- Abstract time-dependent transport equations
- On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain
- \(L^ p\) regularity of velocity averages
- On the initial-boundary value problem for the Boltzmann equation
- Initial-boundary value problems for the Boltzmann equation: Global existence of weak solutions
- Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
- The Boltzmann equation and its applications
- Global solutions to the initial value problem for the nonlinear Boltzmann equation
- The Boltzmann equation. I. Uniqueness and local existence
- Global solutions of the Boltzmann equation in a bounded convex domain
- Entropy dissipation rate and convergence in kinetic equations
- A proof of the smoothing properties of the positive part of Boltzmann's kernel
- On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
- A direct method for the regularity of the gain term in the Boltzmann equation
- Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems
- On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions
- On the spatially homogeneous Boltzmann equation
- A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal
- The mathematical theory of dilute gases
- Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II
- Boltzmann asymptotics with diffuse reflection boundary conditions
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- Classical solutions to the Boltzmann equation for molecules with an angular cutoff
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Entropy dissipation and long-range interactions
- A modified Boltzmann equation for Bose-Einstein particles: Isotropic solutions and long-time behavior
- On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.
- The acoustic limit for the Boltzmann equation
- Velocity averaging in \(L^1\) for the transport equation
- Stationary solutions to the Boltzmann equation in the hydrodynamic limit
- On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation
- On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases
- From the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics. Volume 1
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
- A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions
- Decay of the Boltzmann equation with the specular boundary condition in non-convex cylindrical domains
- Asymptotic behavior of one-dimensional discrete-velocity models in a slab
- Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation
- Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
- Compactness in Boltzmann's equation via Fourier integral operators and applications. III
- The first and second fluid approximation to the linearized Boltzmann equation
- The Landau equation in a periodic box
- Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- Weak solutions of the Boltzmann equation and energy conservation
- Entropy production estimates for Boltzmann equations with physically realistic collision kernels
- Errata: Weak solutions of the Boltzmann equation and energy conservation
- On diffuse reflection at the boundary for the Boltzmann equation and related equations
- Hard sphere dynamics and the Enskog equation
- From Boltzmann's equation to the incompressible Navier-Stokes-Fourier system with long-range interactions
- Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials
- A quantum Boltzmann equation for Haldane statistics and hard forces; the space-homogeneous initial value problem
- On solutions to the linear Boltzmann equation with general boundary conditions and infinite-range forces.
- On some properties of kinetic and hydrodynamic equations for inelastic interactions.
- Hydrodynamic limit of a kinetic gas flow past an obstacle
- \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system
- Hypocoercivity of linear kinetic equations via Harris's theorem
- Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
- On the convergence of smooth solutions from Boltzmann to Navier-Stokes
- Self-generating lower bounds and continuation for the Boltzmann equation
- On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures
- Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type
- Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions
- Finite time blow-up and condensation for the bosonic Nordheim equation
- The Maxwell-Stefan diffusion limit for a kinetic model of mixtures
- The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections
- A Maxwellian lower bound for solutions to the Boltzmann equation
- Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
- Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
- The Vlasov-Poisson-Boltzmann system with angular cutoff for soft potentials
- Spectral properties of the linearized Boltzmann operator in \(L^p\) for \(1\leq p\leq\infty\)
- Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications
- Exponential decay for soft potentials near Maxwellian
- Semigroup generation properties of streaming operators with noncontractive boundary conditions
- Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials
- Strong solutions of the Boltzmann equation in one spatial dimension
- On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles
- Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
- Global classical solutions of the Boltzmann equation near Maxwellians
- On the blow up and condensation of supercritical solutions of the Nordheim equation for bosons
- Hypoelliptic second order differential equations
- Spectra of perturbed semigroups with applications to transport theory
- Global solutions of Boltzmann's equation and the entropy inequality
- The billiard ball problem on a table with a convex boundary - An illustrative dynamical problem. I. The invariant integral
- Stability of the Maxwell-Stefan system in the diffusion asymptotics of the Boltzmann multi-species equation
- Recovering Navier–Stokes Equations from Asymptotic Limits of the Boltzmann Gas Mixture Equation
- THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS
- Existence Analysis of Maxwell--Stefan Systems for Multicomponent Mixtures
- Formal passage from kinetic theory to incompressible Navier–Stokes equations for a mixture of gases
- On the Maxwell-Stefan Approach to Multicomponent Diffusion
- Boltzmann Equation with a Large Potential in a Periodic Box
- On the Maxwell-Stefan diffusion limit for a mixture of monatomic gases
- Global classical solutions of the Boltzmann equation without angular cut-off
- GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES
- Incompressible navier-stokes and euler limits of the boltzmann equation
- Kinetic equations with Maxwell boundary conditions
- Initial-boundary value problems for the boltzmann equation
- The Boltzmann Equation Near a Rotational Local Maxwellian
- Gaussian Lower Bounds for the Boltzmann Equation without Cutoff
- Acoustic limit for the Boltzmann equation in optimal scaling
- Global existence to Boltzmann equation with external force in infinite vacuum
- Well-Posedness of the Cauchy Problem for a Space-Dependent Anyon Boltzmann Equation
- Global Existence of Classical Solutions to the Boltzmann Equation with External Force for Hard Potentials
- Hypocoercivity
- Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
- A derivation of the BBGKY-hierarchy for hard sphere particle systems
- On the initial layer and the existence theorem for the nonlinear Boltzmann equation
- The fluid dynamic limit of the nonlinear boltzmann equation
- THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
- On the StrongL1Trend to Equilibrium for the Boltzmann Equation
- Boltzmann collision operator with inverse‐power intermolecular potentials, I
- On the existence of global solutions of mixed problem for non-linear Boltzmann equation
- Time evolution of large classical systems
- On the Boltzmann Equation with External Forces
- A limiting case for velocity averaging
- Acoustic and Stokes limits for the Boltzmann equation
- Averaging lemmas without time Fourier transform and application to discretized kinetic equations
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- Regularity in the boltzmann equation and the radon transform
- Decay of solutions to the cauchy problem for the linearized Boltzmann equation with an unbounded external-force potential
- Generalized Invariant Sets for the Boltzmann Equation
- On the sovability and asymptotics of the boltzmann equation in irregular domains
- From the Boltzmann equation to the Stokes-Fourier system in a bounded domain
- On The Trace Problem For Solutions Of The Vlasov Equation
- The Boltzmann Equation with Specular Boundary Condition in Convex Domains
- From Boltzmann to incompressible Navier–Stokes in Sobolev spaces with polynomial weight
- The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
- On the Boltzmann equation for long-range interactions
- Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- The Boltzmann equation in the whole space
- A compactness result related to the stationary Boltzmann equations in a slab, with applications to the existence theory
- Hypocoercivity for linear kinetic equations conserving mass
- Fluid Dynamic Limits of the Kinetic Theory of Gases
- Almost Exponential Decay Near Maxwellian
- Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions
- On the validity of the Boltzmann equation for short range potentials
- Boltzmann diffusive limit beyond the Navier‐Stokes approximation
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
- Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators
- One-sided convergence in the Boltzmann–Grad limit
- Hypocoercivity for a Linearized Multispecies Boltzmann System
- Fractional Fokker-Planck equation
- Binary fluids with long range segregating interaction. I: Derivation of kinetic and hydrodynamic equations
- On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
- The Vlasov-Poisson-Boltzmann system near vacuum
- From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations