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LOWER BOUND FOR THE BOLTZMANN EQUATION WHOSE REGULARITY GROWS TEMPERED WITH TIME

期刊: KINETIC AND RELATED MODELS, 2021; 14 (4)

As a first step towards the general global-in-time stability for the Boltzmann equation with soft potentials, in the present work, we prove the quanti......

A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL

期刊: KINETIC AND RELATED MODELS, 2021; 14 (3)

We present a mean-field limit of the particle swarmalator model introduced in [46] with singular communication weights. For a mean-field limit, we emp......

DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM

期刊: KINETIC AND RELATED MODELS, 2021; 14 (2)

In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data n......

NAVIER-STOKES LIMIT OF GLOBALLY HYPERBOLIC MOMENT EQUATIONS

期刊: KINETIC AND RELATED MODELS, 2021; 14 (1)

This paper is concerned with the Navier-Stokes limit of a class of globally hyperbolic moment equations from the Boltzmann equation. we show that the ......

GLOBAL EXISTENCE THEOREM FOR A MODEL GOVERNING THE MOTION OF TWO CELL POPULATIONS

期刊: KINETIC AND RELATED MODELS, 2020; 13 (6)

This article is concerned with the existence of a weak solution to the initial boundary problem for a cross-diffusion system which arises in the study......

SOLVABILITY AND BLOW-UP CRITERION OF THE THERMOMECHANICAL CUCKER-SMALE-NAVIER-STOKES EQUATIONS IN THE WHOLE DOMAIN

期刊: KINETIC AND RELATED MODELS, 2020; 13 (3)

We study local existence and uniqueness of a strong solution to the kinetic thermomechanical Cucker-Smale (in short TCS) model coupled with incompress......

THE VLASOV-MAXWELL-BOLTZMANN SYSTEM NEAR MAXWELLIANS WITH STRONG BACKGROUND MAGNETIC FIELD

期刊: KINETIC AND RELATED MODELS, 2020; 13 (3)

In this paper, we are concerned with the construction of globalin-time solutions of the Cauchy problem of the Vlasov-Maxwell-Boltzmann system near Max......

HIGH ORDER APPROXIMATION FOR THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF UNDER MODERATELY SOFT POTENTIALS

期刊: KINETIC AND RELATED MODELS, 2020; 13 (3)

The Boltzmann equation has an angular singularity inherent in the long range interaction between molecules. Angular singularity produces many difficul......

SLOW FLOCKING DYNAMICS OF THE CUCKER-SMALE ENSEMBLE WITH A CHEMOTACTIC MOVEMENT IN A TEMPERATURE FIELD

期刊: KINETIC AND RELATED MODELS, 2020; 13 (4)

We study slow flocking phenomenon arising from the dynamics of Cucker-Smale (CS) ensemble with chemotactic movements in a self-consistent temperature ......

ON THE CUCKER-SMALE ENSEMBLE WITH q-CLOSEST NEIGHBORS UNDER TIME-DELAYED COMMUNICATIONS

期刊: KINETIC AND RELATED MODELS, 2020; 13 (4)

We study time-asymptotic interplay between time-delayed communication and Cucker-Smale (C-S) velocity alignment. For this, we present two sufficient f......

GLOBAL EXISTENCE AND LONG TIME BEHAVIOR OF THE ELLIPSOIDAL-STATISTICAL-FOKKER-PLANCK MODEL FOR DIATOMIC GASES

期刊: KINETIC AND RELATED MODELS, 2020; 13 (2)

We are concerned with the global existence and long time behavior of the solutions to the ES-FP model for diatomic gases proposed in [22]. The global ......

TIME-SPLITTING METHODS TO SOLVE THE HALL-MHD SYSTEMS WITH LEVY NOISES

期刊: KINETIC AND RELATED MODELS, 2019; 12 (1)

In this paper, we establish the existence of a martingale solution to the stochastic incompressible Hall-MHD systems with Levy noises in a bounded dom......

JIF:1.38

AN ASYMPTOTIC PRESERVING SCHEME FOR KINETIC CHEMOTAXIS MODELS IN TWO SPACE DIMENSIONS

期刊: KINETIC AND RELATED MODELS, 2019; 12 (1)

In this paper, we study two-dimensional multiscale chemotaxis models based on a combination of the macroscopic evolution equation for chemoattractant ......

JIF:1.38

ELASTIC LIMIT AND VANISHING EXTERNAL FORCE FOR GRANULAR SYSTEMS

期刊: KINETIC AND RELATED MODELS, 2019; 12 (1)

We consider two popular models derived from the theory of granular gases. The first model is the inelastic Boltzmann equation with a diffusion term re......

JIF:1.38

GLOBAL SOLUTION TO THE 3-D INHOMOGENEOUS INCOMPRESSIBLE MHD SYSTEM WITH DISCONTINUOUS DENSITY

期刊: KINETIC AND RELATED MODELS, 2019; 12 (1)

In this paper, we consider the Cauchy problem of the incompressible MHD system with discontinuous initial density in R3. We establish the global well-......

JIF:1.38

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