The diffusive limit of Boltzmann equation in torus
DOI10.1088/1361-6544/ad4502zbMATH Open1542.35276MaRDI QIDQ6557870
Publication date: 18 June 2024
Published in: Nonlinearity (Search for Journal in Brave)
global existencetime decay ratesincompressible Navier-Stokes-Fourier limit\(L^2-L^\infty\) methodrescaled Boltzmann system
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
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- The relativistic Boltzmann equation for soft potentials
- Decay and continuity of the Boltzmann equation in bounded domains
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- On some properties of linear and linearized Boltzmann collision operators for hard spheres
- Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
- Solutions to the Boltzmann equation in the Boussinesq regime
- The mathematical theory of dilute gases
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Incompressible Euler limit of the Boltzmann equation in the whole space and a periodic box
- Exponential decay for soft potentials near Maxwellian
- Incompressible navier-stokes and euler limits of the boltzmann equation
- Acoustic limit for the Boltzmann equation in optimal scaling
- The Boltzmann equation and thirteen moments
- 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
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- On the Navier–Stokes limit of the Boltzmann equation
- Boltzmann diffusive limit beyond the Navier‐Stokes approximation
- Spectrum structure and solution behavior of the Boltzmann equation with soft potentials
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