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Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3611-3639 (2018).

MSC: 82C40 65M60 35B40 35R60 65C35 82M60

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Shu, Ruiwen; Jin, Shi

Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime. (English) Zbl 1414.35174

ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1651-1678 (2018).

MSC: 35Q35 60J65 76T10 76T20 35R60 65M60

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Dolbeault, Jean; Li, Xingyu

\(\varphi\)-entropies: convexity, coercivity and hypocoercivity for Fokker-Planck and kinetic Fokker-Planck equations. (English) Zbl 1411.82032

Math. Models Methods Appl. Sci. 28, No. 13, 2637-2666 (2018).

MSC: 82C40 76P05 35K65 35H10 35P15 35Q83 35Q84

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Dietert, Helge; Evans, Josephine; Holding, Thomas

Contraction in the Wasserstein metric for the kinetic Fokker-Planck equation on the torus. (English) Zbl 1405.60122

Kinet. Relat. Models 11, No. 6, 1427-1441 (2018).

MSC: 60J60 35Q84 60H30 82C31

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Achleitner, Franz; Arnold, Anton; Carlen, Eric A.

On multi-dimensional hypocoercive BGK models. (English) Zbl 1405.82023

Kinet. Relat. Models 11, No. 4, 953-1009 (2018).

MSC: 82C40 35B40 35F25

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De Moor, Sylvain; Rodrigues, Luis Miguel; Vovelle, Julien

Invariant measures for a stochastic Fokker-Planck equation. (English) Zbl 1405.60089

Kinet. Relat. Models 11, No. 2, 357-395 (2018).

MSC: 60H15 37L40 37L55 35B40 35Q83 35Q84

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Hérau, Frédéric

Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models. (English) Zbl 1408.35189

Chemin, Jean-Yves (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 5. Somerville, MA: International Press; Beijing: Higher Education Press. Morningside Lect. Math. 5, 119-147 (2018).

MSC: 35Q84 35Q83 35B40 82C31

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Bedrossian, Jacob; He, Siming

Erratum to: “Suppression of blow-up in Patlak-Keller-Segel via shear flows”. (English) Zbl 1406.35151

SIAM J. Math. Anal. 50, No. 6, 6365-6372 (2018).

MSC: 35K51 35B44 35B40 35B45 92C17

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Monmarché, Pierre

Hypocoercivity in metastable settings and kinetic simulated annealing. (English) Zbl 1404.60120

Probab. Theory Relat. Fields 172, No. 3-4, 1215-1248 (2018).

MSC: 60J70 60J25 46N30

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Liu, Liu; Jin, Shi

Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs. (English) Zbl 1403.35197

Multiscale Model. Simul. 16, No. 3, 1085-1114 (2018).

MSC: 35Q20 65M60 82B40 82C40 35R60 76D05 65M12 35B65

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Herda, Maxime; Rodrigues, L. Miguel

Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit. (English) Zbl 1392.35311

J. Stat. Phys. 170, No. 5, 895-931 (2018).

MSC: 35Q83 35Q84 35B35 35B40 35B30 35H10

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Jin, Shi; Zhu, Yuhua

Hypocoercivity and uniform regularity for the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales. (English) Zbl 1390.35295

SIAM J. Math. Anal. 50, No. 2, 1790-1816 (2018).

MSC: 35Q40 35Q83 35Q84

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Li, Te; Zhang, Zhifei

Large time behaviour for the Fokker-Planck equation with general potential. (English) Zbl 1390.35024

Sci. China, Math. 61, No. 1, 137-150 (2018).

MSC: 35B40

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Baudoin, Fabrice; Tardif, Camille

Hypocoercive estimates on foliations and velocity spherical Brownian motion. (English) Zbl 1374.60150

Kinet. Relat. Models 11, No. 1, 1-23 (2018).

MSC: 60J60 58J65 35H10 35B40 55R25

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Li, Qin; Wang, Li

Uniform regularity for linear kinetic equations with random input based on hypocoercivity. (English) Zbl 1398.65257

SIAM/ASA J. Uncertain. Quantif. 5, 1193-1219 (2017).

MSC: 65M70 82C40

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Letizia, Viviana; Olla, Stefano

Nonequilibrium isothermal transformations in a temperature gradient from a microscopic dynamics. (English) Zbl 1412.60133

Ann. Probab. 45, No. 6A, 3987-4018 (2017).

MSC: 60K35 82C05 82C22 35Q79

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Benaïm, Michel; Gauthier, Carl-Erik

Self-repelling diffusions on a Riemannian manifold. (English) Zbl 1382.58028

Probab. Theory Relat. Fields 169, No. 1-2, 63-104 (2017).

MSC: 58J65 60K35 60H10 60J60 37A25 37A30

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Bedrossian, Jacob; He, Siming

Suppression of blow-up in Patlak-Keller-Segel via shear flows. (English) Zbl 1378.35044

SIAM J. Math. Anal. 49, No. 6, 4722-4766 (2017); erratum ibid. 50, No. 6, 6365-6372 (2018).

MSC: 35B44 35B40 35B45 35K51 92C17

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Kontis, V.; Ottobre, M.; Zegarlinski, B.

Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach. (English) Zbl 06798304

Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 3, Article ID 1750015, 36 p. (2017).

MSC: 47D07 37A25 37L55

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Baudoin, Fabrice

Bakry-Émery meet Villani. (English) Zbl 1373.35061

J. Funct. Anal. 273, No. 7, 2275-2291 (2017).

MSC: 35B45 35Q84

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Gualdani, Maria Pia; Zamponi, Nicola

Spectral gap and exponential convergence to equilibrium for a multi-species Landau system. (English) Zbl 1378.35156

Bull. Sci. Math. 141, No. 6, 509-538 (2017).

MSC: 35K40 35K55 35K65 35B09 35B35 35B40 35Q92

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Found 133 Documents (Results 1–100)

\(\mathrm{L}^2\) hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states. (English) Zbl 07920786

Convergence of simulated annealing using kinetic Langevin dynamics. (English) Zbl 07904039

Weak error expansion of a numerical scheme with rejection for singular Langevin process. (English) Zbl 07902503

A voltage-conductance kinetic system from neuroscience: probabilistic reformulation and exponential ergodicity. (English) Zbl 07896356

Steady states of an Elo-type rating model for players of varying strength. (English) Zbl 1542.35387

Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations. (English) Zbl 07880261

Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in \(H^k\) spaces. (English) Zbl 1541.82010

Trend to equilibrium for run and tumble equations with non-uniform tumbling kernels. (English) Zbl 1542.35054

On a Vlasov-Fokker-Planck equation for stored electron beams. (English) Zbl 1542.35383

Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty. (English) Zbl 1542.35385

Exponential stability and hypoelliptic regularization for the kinetic Fokker-Planck equation with confining potential. (English) Zbl 1543.35238

Uniform-in-time propagation of chaos for kinetic mean field Langevin dynamics. (English) Zbl 1541.82011

Localization crossover for the continuous Anderson Hamiltonian in 1-d. (English) Zbl 07790852

Modelling, simulation and mathematical analysis of drone swarms via entropy methods. (English) Zbl 1528.34002

On the asymptotic behavior of a run and tumble equation for bacterial chemotaxis. (English) Zbl 1527.35438

Infinite dimensional piecewise deterministic Markov processes. (English) Zbl 1523.60130

Large time asymptotics for Fermi-Dirac statistics coupled to a Poisson equation. (English) Zbl 1520.82034

Exact targeting of Gibbs distributions using velocity-jump processes. (English) Zbl 1520.60040

The hypocoercivity index for the short time behavior of linear time-invariant ODE systems. (English) Zbl 1523.34014

Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition. (English) Zbl 1521.35132

Time averages for kinetic Fokker-Planck equations. (English) Zbl 1514.82170

Improving the convergence rates for the kinetic Fokker-Planck equation by optimal control. (English) Zbl 1525.35218

Hypocoercivity and hypocontractivity concepts for linear dynamical systems. (English) Zbl 07692337

Convergence rate for degenerate partial and stochastic differential equations via weak Poincaré inequalities. (English) Zbl 1526.37084

\(L^2\) hypocoercivity, deviation bounds, hitting times and Lyapunov functions. (Hypocoercivité \(L^2\), inégalité de concentration, temps d’atteinte et fonctions de Lyapunov.) (English. French summary) Zbl 1511.60111

Non-reversible processes: GENERIC, hypocoercivity and fluctuations. (English) Zbl 1516.35410

On a structure-preserving numerical method for fractional Fokker-Planck equations. (English) Zbl 1505.35335

Emergence of synchronization in Kuramoto model with general digraph. (English) Zbl 1511.34062

Semigroup decay for the linearized kinetic ellipsoidal Fokker-Planck equation. (English) Zbl 1500.35279

Kinetic model for myxobacteria with directional diffusion. (English) Zbl 1518.35052

The Boltzmann equation with an external force on the torus: incompressible Navier-Stokes-Fourier hydrodynamical limit. (English) Zbl 1510.35202

Convergence of the kinetic annealing for general potentials. (English) Zbl 1517.60100

Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit. (English) Zbl 1496.82020

Optimal non-symmetric Fokker-Planck equation for the convergence to a given equilibrium. (English) Zbl 1496.35386

On the random batch method for second order interacting particle systems. (English) Zbl 1505.65003

Regularization estimates and hydrodynamical limit for the Landau equation. (English. French summary) Zbl 1491.35310

Global hypocoercivity of kinetic Fokker-Planck-alignment equations. (English) Zbl 1486.35386

Hypocoercivity with Schur complements. (Hypocoercivité par compléments de Schur.) (English. French summary) Zbl 1490.35494

Finding the jump rate for fastest decay in the Goldstein-Taylor model. (English) Zbl 1506.35232

On explicit \(L^2\)-convergence rate estimate for piecewise deterministic Markov processes in MCMC algorithms. (English) Zbl 1490.60218

Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift. (English) Zbl 1490.35493

Essential m-dissipativity and hypocoercivity of Langevin dynamics with multiplicative noise. (English) Zbl 1503.37081

Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds. (English) Zbl 1484.58019

Sharpening of decay rates in Fourier based hypocoercivity methods. (English) Zbl 1497.35469

On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation. (English) Zbl 1490.35246

Randomized Hamiltonian Monte Carlo as scaling limit of the bouncy particle sampler and dimension-free convergence rates. (English) Zbl 1484.65004

Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes. (English) Zbl 1515.82069

\(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system. (English) Zbl 1486.82034

Subgeometric hypocoercivity for piecewise-deterministic Markov process Monte Carlo methods. (English) Zbl 1480.60211

The kinetic Fokker-Planck equation with mean field interaction. (English. French summary) Zbl 1480.60235

Scaling limits for the generalized Langevin equation. (English) Zbl 1473.35057

Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the torus. (English) Zbl 1462.35234

Large time convergence of the non-homogeneous Goldstein-Taylor equation. (English) Zbl 1459.82259

Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. (English) Zbl 1456.65112

Hypocoercivity and sub-exponential local equilibria. (English) Zbl 1456.82811

A note on Fisher information hypocoercive decay for the linear Boltzmann equation. (English) Zbl 1470.35251

Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows. (English) Zbl 1462.35399

Quantitative rates of convergence to non-equilibrium steady state for a weakly anharmonic chain of oscillators. (English) Zbl 1453.82080

Separation of time-scales in drift-diffusion equations on \(\mathbb{R}^2\). (English. French summary) Zbl 1448.35388

A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators. (English) Zbl 1447.58032

Hypocoercivity without confinement. (English) Zbl 1448.82035

Stable mixing estimates in the infinite Péclet number limit. (English) Zbl 1445.35056

Hypocoercivity properties of adaptive Langevin dynamics. (English) Zbl 1434.60236

Diffusion and kinetic transport with very weak confinement. (English) Zbl 1434.35237

Hypocoercivity of linear kinetic equations via Harris’s theorem. (English) Zbl 1434.35032

Hypocoercivity and fast reaction limit for linear reaction networks with kinetic transport. (English) Zbl 1437.35524

Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations. (English) Zbl 1440.65108

The kinetic Fokker-Planck equation with weak confinement force. (English) Zbl 1447.47060

Couplings and quantitative contraction rates for Langevin dynamics. (English) Zbl 1466.60160

Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. (English) Zbl 1461.60065

Spectral convergence of the stochastic Galerkin approximation to the Boltzmann equation with multiple scales and large random perturbation in the collision kernel. (English) Zbl 1420.65104

Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations. (English) Zbl 1420.35413

Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. (English) Zbl 1420.35431

Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method. (English) Zbl 1420.35266