Results 21 to 30 of about 637 (33)

Diffeomorphic density registration

, 2018
In this book chapter we study the Riemannian Geometry of the density registration problem: Given two densities (not necessarily probability densities) defined on a smooth finite dimensional manifold find a diffeomorphism which transforms one to the other.
Ashburner, Avants, Ay, Banyaga, Bauer, Bauer, Bauer, Bauer, Bauer, Beg, Boone, Davis, El Moselhy, Friedrich, Geneser, Gorbunova, Greene, Grenander, Hamilton, Hinkle, Joshi, Keall, Khesin, Lang, Martins, Marzouk, Miller, Misiołek, Modin, Monte, Moser, Nakanishi, Reich, Rottman, Sawant, Seo, Seo, Suh, Vercauteren, Vialard, Younes, Younes   +41 more
core   +1 more source

On Geodesic Completeness for Riemannian Metrics on Smooth Probability Densities

, 2017
The geometric approach to optimal transport and information theory has triggered the interpretation of probability densities as an infinite-dimensional Riemannian manifold.
Bauer, Martin, Joshi, Sarang, Modin, Klas   +2 more
core   +1 more source

Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation

, 2012
Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of ...
LeFloch, Philippe G., Makhlof, Hasan, Okutmustur, Baver   +2 more
core   +1 more source

Initial boundary value problem and exponential stability for the planar magnetohydrodynamics equations with temperature-dependent viscosity

Advances in Nonlinear Analysis
In this study, we consider the initial boundary value problem of the planar magnetohydrodynamics (MHD) system when the viscous coefficients and heat conductivity depend on the temperature, which are assumed to be proportional to θα{\theta }^{\alpha }, α ...
Shang Zhaoyang, Yang Erjia
doaj   +1 more source

Smooth imploding solutions for 3D compressible fluids

Forum of Mathematics, Pi
Building upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano   +2 more
doaj   +1 more source

Radial transonic shock solutions of Euler-Poisson system in convergent nozzles

, 2017
Given constant data of density $\rho_0$, velocity $-u_0{\bf e}_r$, pressure $p_0$ and electric force $-E_0{\bf e}_r$ for supersonic flow at the entrance, and constant pressure $p_{\rm ex}$ for subsonic flow at the exit, we prove that Euler-Poisson system
Bae, Myoungjean, Park, Yong
core   +1 more source

Navier-Stokes equations on the flat cylinder with vorticity production on the boundary

, 2010
We study the two-dimensional Navier-Stokes system on a flat cylinder with the usual Dirichlet boundary conditions for the velocity field u. We formulate the problem as an infinite system of ODE's for the natural Fourier components of the vorticity, and ...
Batchelor G K, Carlo Boldrighini, Gallavotti G, Ladyzhenskaya O A, Paolo Buttà, Temam R, Temam R   +6 more
core   +1 more source

Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces

, 2008
This paper is devoted to the study of the Cauchy problem for the Boussinesq system with partial viscosity in dimension $N\geq3.$ First we prove a global existence result for data in Lorentz spaces satisfying a smallness condition which is at the scaling ...
Danchin, R., Paicu, M.
core   +2 more sources

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

Advances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
doaj   +1 more source

Asymptotic analysis of Leray solution for the incompressible NSE with damping

Demonstratio Mathematica
In 2008, Cai and Jiu showed that the Cauchy problem of the Navier-Stokes equations, with damping α∣u∣β−1u\alpha {| u| }^{\beta -1}u for α>0\alpha \gt 0 and β≥1\beta \ge 1 has global weak solutions in L2(R3){L}^{2}\left({{\mathbb{R}}}^{3}).
Blel Mongi, Benameur Jamel
doaj   +1 more source