Results 21 to 30 of about 652 (33)

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

On the global large regular solutions of the 1D degenerate compressible Navier-Stokes equations

Advances in Nonlinear Analysis
When the viscosity coefficients depend on the mass density ρ\rho in the power ρδ(δ>0){\rho }^{\delta }\left(\delta \gt 0), the existence of smooth solutions with vacuum of the compressible Navier-Stokes equations have received extensive attentions in ...
Cao Yue, Jiang Xun, Xi Shuai
doaj   +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

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

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

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

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

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

A regularity result for incompressible elastodynamics equations in the ALE coordinates

Advanced Nonlinear Studies
We consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
doaj   +1 more source

Existence and stability of contact discontinuities to piston problems

Advances in Nonlinear Analysis
This study investigates the existence and stability of the contact discontinuity to a piston problem, which is governed by one-dimensional compressible Euler equations under the condition of zero relative velocity between the piston and tube gas.
Zhang Xiaomin, Yu Huimin
doaj   +1 more source