Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
From MaRDI portal
Publication:5184050
DOI10.2307/1996565zbMath0275.47047OpenAlexW4248025336MaRDI QIDQ5184050
Publication date: 1974
Full work available at URL: https://doi.org/10.2307/1996565
Equations involving nonlinear operators (general) (47J05) Differential equations in abstract spaces (34G99)
Related Items (45)
The birth of random evolutions ⋮ Existence of solutions of the very fast diffusion equation ⋮ A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions ⋮ Numerical schemes for kinetic equations in diffusive regimes ⋮ Differential equations in a Banach space ⋮ An analytic approach to the normalized Ricci flow-like equation ⋮ From fast to very fast diffusion in the nonlinear heat equation ⋮ Some Relations Between Nonexpansive and Order Preserving Mappings ⋮ Convergence of singularly perturbed nonlinear hyperbolic systems ⋮ Path-space moderate deviations for a Curie-Weiss model of self-organized criticality ⋮ Convergence and approximation of integral solutions of nonlinear evolution equations ⋮ Hydrodynamic limit for the \(d\)-facilitated exclusion process ⋮ Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles ⋮ Convergence and approximation of nonlinear semigroups ⋮ Large deviations for random evolutions with independent increments in a scheme of the Lévy approximation ⋮ Weak solutions for equations defined by accretive operators. II: Relaxation limits. ⋮ Convergence of the Dirichlet solutions of the very fast diffusion equation ⋮ Behaviour of solutions of a singular diffusion equation near the extinction time. ⋮ Existence of solutions of the very fast diffusion equation in bounded and unbounded domain ⋮ Self-similar fluid-dynamic limits for the Broadwell system ⋮ Singular limit of solutions of the very fast diffusion equation ⋮ Existence theorems for fast diffusion equations ⋮ Large time behaviour of solutions of a singular diffusion equation in \(\mathbb R^n\) ⋮ Diffusion approximation for a class of Markov processes satisfying a nonlinear Fokker-Planck equation ⋮ The central limit theorem for Carleman's equation ⋮ Semigroup-theoretic proofs of the central limit theorem and other theorems of analysis ⋮ Convergence and approximation of semigroups of Lipschitz operators ⋮ The exponential resolvent of a Markov process and large deviations for Markov processes via Hamilton-Jacobi equations ⋮ Collective phenomena in interacting particle systems ⋮ Initial value problems for the Carleman equation ⋮ Asymptotic profile of solutions of a singular diffusion equation as \(t\to\infty\) ⋮ A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation ⋮ Elements of the theory of stability of hybrid systems (review) ⋮ On a nonlinear singular diffusion problem: convergence to a traveling wave ⋮ A branching process model for dormancy and seed banks in randomly fluctuating environments ⋮ On a relaxation approximation of the incompressible Navier-Stokes equations ⋮ Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems ⋮ Diffusion of Biological Organisms: Fickian and Fokker--Planck Type Diffusions ⋮ A general convergence result for viscosity solutions of Hamilton-Jacobi equations and non-linear semigroups ⋮ Hyperbolic to parabolic relaxation theory for quasilinear first order systems ⋮ Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves ⋮ The fluid dynamical limit of the Carleman equation with reflecting boundary ⋮ Monotone perturbations of the Laplacian in \(L^1(R^N)\) ⋮ Initial boundary value problems for the Carleman equation ⋮ Existence of singular solutions of a degenerate equation in \(\mathbb R^2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Approximation of semi-groups of operators
- Extensions of Trotter's operator semigroup approximation theorems
- On the convergence of nonlinear semi-groups. II
- On the convergence of nonlinear semi-groups
- Approximation of semi-groups of nonlinear operators
- Some general properties of a class of semilinear hyperbolic systems analogous to the differential-integral equations of gas dynamics
- Convergence and approximation of semigroups of nonlinear operators in Banach spaces
- Approximation of nonlinear semigroups and evolution equations
- A limit theorem for perturbed operator semigroups with applications to random evolutions
- Differential equations with a small parameter and the central limit theorem for functions defined on a finite Markov chain
- A General Theorem on the Convergence of Operator Semigroups
- An Exponential Limit Formula for Nonlinear Semigroups
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
This page was built for publication: Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics