A global stability result for incompressible magnetohydrodynamics

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pizzocchero, Livio, Tassi, Emanuele
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Mathematical Physics 35Q35, 76W05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Accelerated and fast magnetic reconnection through enhanced resistive dissipation for MHD equations
by: Ciampa, Gennaro, et al.
Published: (2025)

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

On the double Beltrami states in Hall magnetohydrodynamics
by: Bae, Hantaek, et al.
Published: (2025)

Global well-posedness of the three-dimensional non-isentropic compressible magnetohydrodynamic equations under a scaling-invariant smallness condition
by: Xu, Lin, et al.
Published: (2025)

Well-posedness and blowup of 1D electron magnetohydrodynamics
by: Dai, Mimi
Published: (2025)

$C^{1/5^{-}}$ Convex Integration Solutions of Ideal MHD
by: Giardi, Matteo, et al.
Published: (2026)

Global solutions to Stokes-Magneto equations with fractional dissipations
by: Bae, Hantaek, et al.
Published: (2023)

On the 2D Plasma-Vacuum Interface Problems for Ideal Incompressible MHD
by: Liu, Sicheng, 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)

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

Ill-posedness of $2\frac12$D electron MHD
by: Dai, Mimi
Published: (2024)

Calmed Ohmic Heating for the 2D Magnetohydrodynamic-Boussinesq System: Global Well-posedness and Convergence
by: Enlow, Matthew, et al.
Published: (2024)

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)

Quantitative Gaffney and Korn inequalities
by: Gerner, Wadim
Published: (2025)

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

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

Large amplitude traveling waves for the non-resistive MHD system
by: Ciampa, Gennaro, et al.
Published: (2024)

Exact controllability of incompressible ideal magnetohydrodynamics in $2$D
by: Rissel, Manuel
Published: (2023)

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

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

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

A note on Ideal Magneto-Hydrodynamics with perfectly conducting boundary conditions in the quarter space
by: Secchi, Paolo
Published: (2024)

Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models
by: Pan, Anping
Published: (2026)

Half Strong Ill-Posedness of $2 \frac{1}{2}$D Electron Magnetohydrodynamics with Fractional Resistivity
by: Xiaotong, et al.
Published: (2026)

Kolmogorov's dissipation number and determining wavenumber for dyadic models
by: Dai, Mimi, et al.
Published: (2021)

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)

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

Convergence and non-convergence phenomena in Euler-Maxwell to MHD transitions
by: Kim, Dong-ha, et al.
Published: (2025)

Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces
by: Qin, Yuming, 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)

Hamiltonian formulation and matrix discretization for axisymmetric magnetohydrodynamics
by: Roop, Michael
Published: (2026)

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

Global Fujita-Kato solutions of the incompressible inhomogeneous magnetohydrodynamic equations
by: Li, Fucai, et al.
Published: (2025)

Large bulk viscosity limit for compressible MHD equations in critical Besov spaces
by: Ciampa, Gennaro, et al.
Published: (2026)

The Incompressible Limit of the Equations of Compressible Ideal Magneto-Hydrodynamics with perfectly conducting boundary
by: Secchi, Paolo
Published: (2024)

The p-Laplacian: phenomenological modelling of the flow in porous media and CFD simulations
by: Girg, Petr, et al.
Published: (2024)

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

Blowup for the forced electron MHD
by: Dai, Mimi
Published: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"en"
VUFIND_SESSION	"5a73774b59973a6ec21ec27ab1377fe9"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790752418.6678 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "5a73774b59973a6ec21ec27ab1377fe9" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; language=en; VUFIND_SESSION=5a73774b59973a6ec21ec27ab1377fe9"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"59070"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2602_06933/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2602_06933/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790752418.6601
REQUEST_TIME	1790752418

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"en"
VUFIND_SESSION	"5a73774b59973a6ec21ec27ab1377fe9"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790752418.6678 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "5a73774b59973a6ec21ec27ab1377fe9" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; language=en; VUFIND_SESSION=5a73774b59973a6ec21ec27ab1377fe9"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"59070"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2602_06933/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2602_06933/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790752418.6601
REQUEST_TIME	1790752418

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: