Global well-posedness and stability of the inhomogeneous kinetic wave equation near vacuum
From MaRDI portal
Publication:6612856
DOI10.3934/krm.2024003zbMATH Open1547.35487MaRDI QIDQ6612856
Publication date: 1 October 2024
Published in: Kinetic and Related Models (Search for Journal in Brave)
Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical turbulence modeling (76F55) NLS equations (nonlinear Schrödinger equations) (35Q55) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Fundamentals of turbulence (76F02) Boltzmann equations (35Q20)
Cites Work
- Weakly nonlinear Schrödinger equation with random initial data
- Wave turbulence.
- Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section
- The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
- The Boltzmann equation: global existence for a rare gas in an infinite vacuum
- The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results
- On the nonlinear Boltzmann equation in unbounded domains
- Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian
- The Boltzmann equation. I. Uniqueness and local existence
- Zur kinetischen Theorie der Wärmeleitung in Kristallen.
- Classical solution of the nonlinear Boltzmann equation in all \({\mathbb{R}}^ 3\): asymptotic behavior of solutions.
- Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation
- Optimal local well-posedness theory for the kinetic wave equation
- Linearized wave turbulence convergence results for three-wave systems
- Progress in ocean wave forecasting
- On the quantum Boltzmann equation near Maxwellian and vacuum
- Global well-posedness of a binary-ternary Boltzmann equation
- On the theory of Weak Turbulence for the Nonlinear Schrödinger Equation
- Isotropic wave turbulence with simplified kernels: Existence, uniqueness, and mean-field limit for a class of instantaneous coagulation-fragmentation processes
- Global Newtonian Limit for the Relativistic Boltzmann Equation near Vacuum
- Global existence and stability of mild solutions to the inelastic Boltzmann system for gas mixtures
- Wave Turbulence: A Story Far from Over
- On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
- Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian
- Existence in the large and asymptotic behaviour for the Boltzmann equation
- Generalized Invariant Sets for the Boltzmann Equation
- On the derivation of the wave kinetic equation for NLS
- On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
- Global existence and stability of mild solutions to the Boltzmann system for gas mixtures
- Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
- On the non-linear energy transfer in a gravity wave spectrum Part 2. Conservation theorems; wave-particle analogy; irrevesibility
- Derivation of the transport equation for electrons moving through random impurities
- Full derivation of the wave kinetic equation
- Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence
- \(L^2\)-stability near equilibrium for the 4 waves kinetic equation
This page was built for publication: Global well-posedness and stability of the inhomogeneous kinetic wave equation near vacuum