Cover Image

Stability analysis of the incompressible porous media equation and the Stokes transport system via energy structure

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Park, Jaemin
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 76S05, 35Q35, 34D05, 76B03
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Sharp asymptotic stability of the incompressible porous media equation
by: Bianchini, Roberta, et al.
Published: (2025)

On a 1D nonlocal transport of the incompressible porous media equation
by: Liu, Caifeng, et al.
Published: (2025)

Finite time blow-up in a 1D model of the incompressible porous media equation
by: Kiselev, Alexander, et al.
Published: (2024)

Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations
by: Collot, Charles, et al.
Published: (2025)

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

Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system
by: Fei, Mingwen, et al.
Published: (2024)

Energy equality of the weak solutions to non-Newtonian fluids equations
by: Feng, Yi, et al.
Published: (2024)

Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity
by: Fujii, Mikihiro, et al.
Published: (2025)

Long time dynamics and anomalous dissipation of energy in viscous forced active scalar equations
by: Friedlander, Susan, et al.
Published: (2026)

Well-posedness and blowup of 1D electron magnetohydrodynamics
by: Dai, Mimi
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)

A high-frequency tail condition and a diagnostic iteration for the Navier--Stokes equations
by: Mitrovic, Darko
Published: (2024)

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

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

Existence theorems for the steady-state Navier-Stokes equations with nonhomogeneous slip boundary conditions in two-dimensional multiply-connected bounded domains
by: Galdi, Giovanni P., et al.
Published: (2024)

On the Cauchy problem to the axially-symmetric solutions to the Navier-Stokes equations
by: Grygierzec, Wiesław J., et al.
Published: (2026)

Stokes-Brinkman-Darcy models for fluid-porous systems: derivation, analysis and validation
by: Ruan, Linheng, et al.
Published: (2024)

Global well-posedness and large time behavior of 3D incompressible inhomogeneous magnetohydrodynamic equations in the exterior of a cylinder
by: Liu, Jitao, et al.
Published: (2025)

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

Global Well-posedness of the Two Dimensional Beris-Edwards System with General Laudau-de Gennes Free Energy
by: Liu, Yuning, et al.
Published: (2018)

Existence, asymptotic behaviour and convergence of a generalised 3D Muskat problem in stable regime
by: Khan, Qasim, et al.
Published: (2026)

Liouville-type theorems for the stationary non-Newtonian fluids in a slab
by: Han, Jingwen, et al.
Published: (2026)

Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics
by: Bevilacqua, Giulia, et al.
Published: (2023)

Weak solutions to the steady incompressible Euler equations with source terms
by: Huang, Anxiang
Published: (2024)

Traveling waves near Poiseuille flow for the 2D Euler equation
by: Castro, Ángel, et al.
Published: (2024)

On global regular axially-symmetric solutions to the Navier-Stokes equations in a cylinder
by: Grygierzec, Wiesław J., et al.
Published: (2025)

Anomalous smoothing effect on the incompressible Navier-Stokes-Fourier limit from Boltzmann with periodic velocity
by: Gu, Zhongyang, et al.
Published: (2023)

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

Liouville type theorem for double Beltrami solutions of the Hall-MHD system in $\Bbb R^3$
by: Chae, Dongho
Published: (2025)

Maximal $L_1$-regularity of the Navier-Stokes equations with free boundary conditions via a generalized semigroup theory
by: Shibata, Yoshihiro, et al.
Published: (2023)

Fractional Voigt-regularization of the 3D Navier--Stokes and Euler equations: Global well-posedness and limiting behavior
by: Brzeźniak, Zdzislaw, et al.
Published: (2024)

The incompressible Navier-Stokes limit from the lattice BGK Boltzmann equation
by: Gu, Zhongyang, et al.
Published: (2024)

Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities
by: Abels, Helmut, et al.
Published: (2023)

A priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface
by: Hao, Chengchun, et al.
Published: (2023)

Weak solutions to incompressible heat-conducting motions with large flux
by: Rencławowicz, Joanna, et al.
Published: (2025)

On bilinear estimates and critical uniqueness classes for Navier-Stokes equations
by: Ferreira, Lucas C. F., et al.
Published: (2022)

A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility
by: Huang, Qian, et al.
Published: (2024)

Inviscid limit for Navier-Stokes equations in domains with permeable boundaries
by: Chemetov, N. V., et al.
Published: (2024)

Well-posedness, magnetic helicity conservation, inviscid limit and asymptotic stability for the generalized Navier-Stokes-Maxwell equations
by: Kang, Kyungkeun, et al.
Published: (2024)