The global well-posedness of the relativistic Boltzmann equation with hard potentials and diffuse reflection boundary condition in bounded domains
DOI10.1088/1361-6544/AD8C0DMaRDI QIDQ6637397
Could not fetch data.
Publication date: 13 November 2024
Published in: Nonlinearity (Search for Journal in Brave)
initial-boundary value problemrelativistic Boltzmann equationexponential time decaydiffuse reflection boundary conditionbackward bi-characteristics
Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Special relativity (83A05) Perturbations in context of PDEs (35B20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Boltzmann equations (35Q20)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Asymptotic stability of the Boltzmann equation with Maxwell boundary conditions
- Non-isothermal boundary in the Boltzmann theory and Fourier law
- Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system
- Large-time decay of the soft potential relativistic Boltzmann equation in \(\mathbb{R}^3_x\)
- Regularity of the Boltzmann equation in convex domains
- The Boltzmann equation with weakly inhomogeneous data in bounded domain
- The initial boundary value problem for the Boltzmann equation with soft potential
- The relativistic Boltzmann equation for soft potentials
- Global well-posedness of the Boltzmann equation with large amplitude initial data
- Energy method for Boltzmann equation
- Asymptotic stability of the relativistic Boltzmann equation for the soft potentials
- Formation and propagation of discontinuity for Boltzmann equation in non-convex domains
- The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions
- Decay and continuity of the Boltzmann equation in bounded domains
- On the linearized relativistic Boltzmann equation. II: Existence of hydrodynamics
- 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 linearized relativistic Boltzmann equation. I: Existence of solutions
- On the initial-boundary value problem for the Boltzmann equation
- Initial-boundary value problems for the Boltzmann equation: Global existence of weak solutions
- Global existence proof for relativistic 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
- 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
- The Boltzmann equation with large-amplitude initial data in bounded domains
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- On diffuse reflection at the boundary for the Boltzmann equation and related equations
- On the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state
- On the determinant problem for the relativistic Boltzmann equation
- The relativistic quantum Boltzmann equation near equilibrium
- Nonlinear hyperbolic waves in relativistic gases of massive particles with Synge energy
- Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas
- Asymptotic stability of the relativistic Maxwellian
- Exponential decay for soft potentials near Maxwellian
- Spectra of perturbed semigroups with applications to transport theory
- Global classical solutions of the Boltzmann equation without angular cut-off
- Kinetic equations with Maxwell boundary conditions
- On the derivatives of the collision map of relativistic particles
- Asymptotic stability of the relativistic Maxwellian via fourteen moments
- The Boltzmann Equation with Specular Boundary Condition in Convex Domains
- Global Well-Posedness of the Relativistic Boltzmann Equation
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- The Boltzmann equation in the whole space
- On the Cauchy problem for the relativistic Boltzmann equation in a periodic box:Global existence
- Bounded solutions for the Boltzmann equation
- THE BOLTZMANN EQUATION IN THE SPACE $L^2\cap L^\infty_\beta$: GLOBAL AND TIME-PERIODIC SOLUTIONS
- Asymptotic stability of the relativistic Maxwellian
This page was built for publication: The global well-posedness of the relativistic Boltzmann equation with hard potentials and diffuse reflection boundary condition in bounded domains
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6637397)