Cover Image

On global classical and weak solutions with arbitrary large initial data to the multi-dimensional viscous Saint-Venant system and compressible Navier-Stokes equations subject to the BD entropy condition under spherical symmetry

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Huang, Xiangdi, Meng, Weili, Zhang, Xueyao
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35Q30, 76N10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global regularity of the multi-dimensional compressible Navier-Stokes-Korteweg system with large initial data
by: Huang, Xiangdi, et al.
Published: (2026)

Global spherically symmetric classical solutions for arbitrary large initial data of the multi-dimensional non-isentropic compressible Navier-Stokes equations
by: Gu, Yongteng, et al.
Published: (2025)

Global existence of classical solutions for the multi-dimensional compressible Navier-Stokes-Poisson equations on solid balls for arbitrary spherically symmetric large initial data
by: Fan, Jie, et al.
Published: (2026)

Global strong solutions and asymptotic behavior for arbitrarily large initial data of the 2D compressible Navier-Stokes equations with transport entropy
by: Fan, Jie, et al.
Published: (2025)

Global strong solutions with large initial data for the Cauchy problem of the multi-dimensional compressible Navier-Stokes-Korteweg system
by: Huang, Xiangdi, et al.
Published: (2026)

Free boundary value problem for the radial symmetric compressible isentropic Navier-Stokes equations with density-dependent viscosity
by: Huang, Xiangdi, et al.
Published: (2024)

Global well-posedness for 2D compressible radially symmetric Navier-Stokes equations with swirl
by: Huang, Xiangdi, et al.
Published: (2025)

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data
by: Huang, Xiangdi, et al.
Published: (2026)

Global-in-time strong solutions for the 2D and 3D generalized compressible Navier-Stokes-Korteweg system with arbitrarily large initial data
by: Gu, Yongteng, et al.
Published: (2026)

Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows
by: Huang, Xiangdi, et al.
Published: (2024)

The lifespan of strong solutions to the compressible MHD equations with entropy transport in the presence of vacuum
by: Gu, Yongteng, et al.
Published: (2025)

Global large strong solution of the 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
by: Huang, Xiangdi, et al.
Published: (2024)

Global spherically symmetric solutions to the isothermal compressible Navier-Stokes equations with far-field vacuum
by: Zhang, Xingyang
Published: (2026)

Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier-Stokes Equation in $\mathbb{R}^3$
by: Bang, Jeaheang, et al.
Published: (2024)

Energy equality of the weak solutions to the fractional Navier-Stokes / MHD equations
by: Feng, Yi, et al.
Published: (2025)

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities
by: Fan, Jie, et al.
Published: (2025)

Global dynamics of large solution for the compressible Navier-Stokes-Korteweg equations
by: Song, Zihao
Published: (2024)

Global well-posedness and optimal decay rates of classical solutions to the compressible Navier-Stokes-Fourier-P$_1$ approximation model in radiation hydrodynamics
by: Jiang, Peng, et al.
Published: (2024)

Local solutions for nonhomogeneous Navier-Stokes equations with large flux
by: Rencławowicz, Joanna, et al.
Published: (2021)

Global weak solutions for the compressible Poisson-Nernst-Planck-Navier-Stokes System
by: Marroquin, Daniel, et al.
Published: (2024)

Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force
by: Yoshizawa, Tomoaki
Published: (2026)

Stochastically forced compressible Navier-Stokes equations with slip boundary conditions of friction type
by: Tsuboya, Reo
Published: (2026)

High-capillarity limit and smoothing effect of large solutions for a multi-dimensional generic non-conservative compressible two-fluid model
by: Shou, Ling-Yun, et al.
Published: (2025)

A note on certain scenarios of Type II blowups of suitable weak solutions to the Navier-Stokes equations
by: Seregin, Gregory
Published: (2025)

Localization of Beltrami fields: global smooth solutions and vortex reconnection for the Navier-Stokes equations
by: Ciampa, Gennaro, et al.
Published: (2023)

Implicit dual time-stepping positivity-preserving entropy-stable schemes for the compressible Navier-Stokes equations
by: Sayyari, Mohammed, et al.
Published: (2025)

On weak solutions to the 1d compressible Navier-Stokes equations: a Lipschitz continuous dependence on data in weaker norms and an error of their homogenization
by: Zlotnik, Alexander
Published: (2026)

Remarks on the uniqueness of weak solutions of the incompressible Navier-Stokes equations
by: Soltanov, Kamal N.
Published: (2024)

On the asymptotic behavior of solutions to the steady Navier-Stokes system in two-dimensional channels
by: Li, Han, et al.
Published: (2024)

On dissipative turbulent solutions to the compressible anisotropic Navier-Stokes equations in unbounded domains
by: Kreml, Ondřej, et al.
Published: (2025)

Difference estimate for weak solutions to the Navier-Stokes equations in a thin spherical shell and on the unit sphere
by: Miura, Tatsu-Hiko
Published: (2025)

Global axisymmetric solutions for Navier-Stokes equation with rotation uniformly in the inviscid limit
by: Ko, Haram
Published: (2024)

Global motions for nonhomogeneous Navier-Stokes equations with large flux
by: Rencławowicz, Joanna, et al.
Published: (2024)

Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier-Stokes equations on the torus
by: Ambrose, David M., et al.
Published: (2024)

Global weak solutions with higher regularity to the compressible Navier-Stokes equations under Dirichlet boundary conditions
by: Huang, Xiangdi, et al.
Published: (2024)

Global well-posedness and large-time behavior of classical solutions to the Euler-Navier-Stokes system in R^3
by: Huang, Feimin, et al.
Published: (2024)

Finite time blowup of strong solutions to the two dimensional MHD equations
by: Huang, Xiangdi, et al.
Published: (2024)

Weak solutions and incompressible limit of a quasi-incompressible Navier--Stokes/Cahn--Hilliard model for viscous two-phase flows
by: Fei, Mingwen, et al.
Published: (2025)

Liouville-type theorems for steady solutions of the barotropic Navier--Stokes system
by: Cho, Youseung, et al.
Published: (2024)

Weak solutions to the Navier-Stokes equations for steady compressible non-Newtonian fluids
by: Burtea, Cosmin, et al.
Published: (2024)