Cover Image

Regularity of Hele-Shaw Flow with source and drift

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kim, Inwon, Zhang, Yuming Paul
Format:	Preprint
Published:	2022
Subjects:	Analysis of PDEs 35R35, 76D27
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

$C^1$-Regularity of the Free Boundary for Hele-Shaw Flow with Source and Drift
by: Zhang, Yuming Paul
Published: (2026)

The Hele-Shaw semi-flow
by: Alazard, Thomas, et al.
Published: (2023)

Global well-posedness for the Hele-Shaw problem with point injection
by: Liang, Zhengjun
Published: (2026)

The Hele-Shaw free boundary limit of Buckley-Leverett System
by: Gomes, André, et al.
Published: (2024)

On the well-posedness of a Hele-Shaw-like system resulting from an inverse geometry problem formulated through a shape optimization setting
by: Rabago, Julius Fergy Tiongson, et al.
Published: (2024)

Nonsymmetric traveling wave solution to a Hele-Shaw type tumor growth model
by: Feng, Yu, et al.
Published: (2024)

Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains
by: Prange, Christophe, et al.
Published: (2023)

Convergence of Free Boundaries in the Incompressible Limit of Tumor Growth Models
by: Tong, Jiajun, et al.
Published: (2024)

A free boundary approach to the quasistatic evolution of debonding models
by: Maggiorelli, Eleonora, et al.
Published: (2025)

The Muskat problem with surface tension and equal viscosities in subcritical $L_p$-Sobolev spaces
by: Matioc, Anca-Voichita, et al.
Published: (2020)

The multiphase Muskat problem with equal viscosities in two dimensions
by: Bierler, Jonas, et al.
Published: (2021)

The Verigin problem with phase transition as a Wasserstein flow
by: Kubin, Anna, et al.
Published: (2026)

Free boundary regularity for a tumor growth model with obstacle
by: Bevilacqua, Giulia, et al.
Published: (2025)

A Darcy law with memory by homogenisation for evolving microstructure
by: Wiedemann, David, et al.
Published: (2024)

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)

Navier-Stokes-Cahn-Hilliard system in a $3$D perforated domain with free slip and source term: Existence and homogenization
by: Chakrabortty, Amartya, et al.
Published: (2025)

Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System
by: Abels, Helmut, et al.
Published: (2023)

Finite-Time Splash in Free Boundary Problem of 3D Neo-Hookean Elastodynamics
by: Zhang, Wei, et al.
Published: (2025)

Global well-posedness of the free boundary problem for incompressible viscous resistive MHD in critical Besov spaces
by: Zhang, Wei, et al.
Published: (2024)

A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction
by: Knopf, Patrik, et al.
Published: (2025)

Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations
by: Franck, Tchinda, et al.
Published: (2024)

Renormalized solutions for the Maxwell--Stefan system with an application to uniqueness of weak solutions
by: Georgiadis, Stefanos, et al.
Published: (2023)

Dirichlet Problems in Perforated Domains
by: Righi, Robert, et al.
Published: (2024)

Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
by: Fei, Mingwen, et al.
Published: (2026)

Strong solutions to the three-dimensional two-phase magnetohydrodynamic equations
by: Jing, Tian, et al.
Published: (2024)

Construction of low regularity strong solutions to the viscous surface wave equations
by: Gui, Guilong, et al.
Published: (2024)

An obstacle approach to rate independent droplet evolution
by: Feldman, William M, et al.
Published: (2024)

Homogenization of an obstacle problem with highly oscillating coefficients and obstacles
by: Kim, Sunghoon, et al.
Published: (2024)

Asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones
by: Sha, Kaijian, et al.
Published: (2026)

Vanishing layer thickness limit of convection in multilayer porous media
by: Sha, Kaijian, et al.
Published: (2025)

Sharp Material Interface Limit of the Darcy-Boussinesq System
by: Dong, Hongjie, et al.
Published: (2025)

Vanishing permeability limit of convection in multilayer porous media
by: Sha, Kaijian, et al.
Published: (2026)

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities
by: Abels, Helmut, et al.
Published: (2025)

Sharp Interface Limit for a Mass-Conserving Navier-Stokes/Allen-Cahn System with Different Viscosities
by: Abels, Helmut, et al.
Published: (2026)

A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions
by: Bonnivard, Matthieu, et al.
Published: (2025)

Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions
by: Schwab, Russell, et al.
Published: (2024)

Sediment Concentration Estimation via Multiscale Inverse Problem and Stochastic Homogenization
by: Li, Jiwei, et al.
Published: (2025)

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure
by: Qin, Yuming, et al.
Published: (2024)

Inverse problem for the geometric Navier-Stokes equations
by: Kian, Yavar, et al.
Published: (2026)

On large periodic traveling surface waves in porous media
by: Nguyen, Huy Q., et al.
Published: (2026)