Cover Image

Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Córdoba, Diego, Martínez-Zoroa, Luis
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Non Existence and Strong Ill-Posedness in $H^2$ for the Stable IPM Equation
by: Bianchini, Roberta, et al.
Published: (2024)

Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform $C^{1,\sqrt{\frac{4}{3}}-1-ε}\cap L^2$ force
by: Córdoba, Diego, et al.
Published: (2025)

Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force
by: Córdoba, Diego, et al.
Published: (2026)

Finite time blow-up for the hypodissipative Navier Stokes equations with a force in $L^1_t C_x^{1,ε}\cap L^{\infty}_{t}L_{x}^2$
by: Córdoba, Diego, et al.
Published: (2024)

Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion
by: Córdoba, Diego, et al.
Published: (2023)

Instantaneous continuous loss of regularity for the SQG equation
by: Córdoba, Diego, et al.
Published: (2024)

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation
by: Jeong, In-Jee, et al.
Published: (2025)

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG
by: Córdoba, Diego, et al.
Published: (2025)

Splash-squeeze singularities and analytic breakdown in ideal incompressible MHD
by: Córdoba, Diego, 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)

Finite time blow-up for a nonlinear parabolic equation with smooth coefficients
by: Jarrin, Oscar, et al.
Published: (2025)

Global smooth solutions to 2D semilinear wave equations with large data
by: Ding, Bingbing, et al.
Published: (2023)

Mild ill-posedness in $W^{1,\infty}$ for the incompressible porous media equation
by: Xie, Yaowei, et al.
Published: (2024)

Breakdown of smooth solutions to the subcritical EPDiff equation
by: Bauer, Martin, et al.
Published: (2025)

Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations
by: Jang, Juhi, et al.
Published: (2026)

Uniqueness of Yudovich's solutions to the 2D incompressible Euler equation despite the presence of sources and sinks
by: Noisette, Florent, et al.
Published: (2021)

Long time smooth solutions of 2-D quadratic quasilinear wave equations in exterior domains with Neumann boundary conditions
by: Hou, Fei, et al.
Published: (2026)

Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
by: Hou, Fei, et al.
Published: (2021)

Entropy solutions to macroscopic IPM
by: Castro, Ángel, et al.
Published: (2023)

On the smoothness of solutions of fully nonlinear second order equations in the plane
by: Goffi, Alessandro
Published: (2025)

Non-uniqueness of smooth solutions of the 5D magnetohydrodynamic equations from critical data
by: Chen, Zipeng, et al.
Published: (2026)

Non-uniqueness of smooth solutions to the Navier-Stokes equations on torus $\TTT^2$
by: Miao, Changxing, et al.
Published: (2026)

Global smooth solutions of 2-D quadratic quasilinear wave equations with null conditions in exterior domains
by: Hou, Fei, et al.
Published: (2024)

Global smooth solutions to 4D quasilinear wave equations with short pulse initial data
by: Ding, Bingbing, et al.
Published: (2023)

Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
by: Hou, Fei, et al.
Published: (2025)

Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
by: Hou, Fei, et al.
Published: (2018)

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

Existence of smooth solutions to the Landau equation with hard potentials and irregular initial data
by: Snelson, Stanley, et al.
Published: (2024)

Short time asymptotics of the fundamental solutions for Schrödinger equations with non-smooth potentials
by: Takizawa, Shun
Published: (2024)

Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks
by: Bravin, Marco, et al.
Published: (2021)

An extension theorem for weak solutions of the 3d incompressible Euler equations and applications to singular flows
by: Enciso, Alberto, et al.
Published: (2024)

A finite difference scheme for smooth solutions of the general mKdV equation
by: Noyola-Rodriguez, Jesus, et al.
Published: (2024)

Global smooth solutions to Navier-Stokes equations with large initial data in critical space
by: Li, Haina, et al.
Published: (2025)

Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation
by: Castro, Ángel, et al.
Published: (2025)

Statistical solutions of the incompressible Euler equations
by: Wagner, Raphael, et al.
Published: (2022)

Global smooth solutions of 2D quasilinear wave equations with higher order null conditions and short pulse initial data
by: Ding, Bingbing, et al.
Published: (2024)

Self-similar algebraic spiral solution of 2-D incompressible Euler equations
by: Shao, Feng, et al.
Published: (2023)

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

The partial null conditions and global smooth solutions of the nonlinear wave equations on $\mathbb{R}^d\times\mathbb{T}$ with $d=2,3$
by: Hou, Fei, et al.
Published: (2023)

Local smoothing for the Hermite wave equation
by: Schippa, Robert
Published: (2024)