Global existence of the irrotational Euler-Nordström equations with a positive cosmological constant: The gravitational field equation

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Brauer, Uwe, Karp, Lavi
Format:	Preprint
Publié:	2025
Sujets:	Analysis of PDEs 35Q31
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Global smooth solutions to the irrotational Euler-Riesz system in three dimensions
par: Choi, Young-Pil, et autres
Publié: (2024)

Global existence of Euler-Korteweg equations with the non-monotone pressure
par: Song, Zihao
Publié: (2023)

Growth estimates for axisymmetric Euler equations without swirl
par: Egamberganov, Khakim, et autres
Publié: (2025)

Finite-time blowup for the Fourier-restricted Euler and hypodissipative Navier-Stokes model equations
par: Miller, Evan
Publié: (2023)

Compactly supported anomalous weak solutions for 2D Euler equations with vorticity in Hardy spaces
par: Buck, Miriam, et autres
Publié: (2024)

Global regularity for axisymmetric, swirl-free solutions of the Euler equation in four dimensions
par: Miller, Evan
Publié: (2026)

Conservation and Breakdown of Modulus of Continuity in the Propagation of Loglog Vortex for 2D Euler equation
par: Jeon, Woohyu
Publié: (2023)

Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
par: Ciampa, Gennaro, et autres
Publié: (2024)

Vortex atmospheres of traveling vortices: rigorous definition, existence, and topological classification
par: Choi, Kyudong, et autres
Publié: (2025)

Permutation symmetric solutions of the incompressible Euler equation
par: Miller, Evan
Publié: (2024)

Finite-time blowup for the infinite dimensional vorticity equation
par: Miller, Evan
Publié: (2025)

Lagrangian aspects of Yudovich theory for 2D Euler
par: Drivas, Theodore D., et autres
Publié: (2025)

Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane
par: Zlatos, Andrej
Publié: (2025)

Weak-strong uniqueness and high-friction limit for Euler-Riesz systems
par: Alves, Nuno J., et autres
Publié: (2024)

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations
par: Albritton, Dallas, et autres
Publié: (2025)

Traveling waves near Poiseuille flow for the 2D Euler equation
par: Castro, Ángel, et autres
Publié: (2024)

Small scale formation for the 2D Boussinesq equation
par: Kiselev, Alexander, et autres
Publié: (2022)

Singularidades para as soluções das Equações de Navier-Stokes and Euler e o Problema do Milênio
par: Filho, Milton C. Lopes, et autres
Publié: (2025)

The helicity distribution for the 3D incompressible Euler equations
par: Inversi, Marco, et autres
Publié: (2024)

Rotating solutions to the incompressible Euler-Poisson equation with external particle
par: Alonso-Orán, Diego, et autres
Publié: (2023)

Weak solutions to the steady compressible Euler equations with source terms
par: Huang, Anxiang
Publié: (2024)

Smooth nonradial stationary Euler flows on the plane with compact support
par: Enciso, Alberto, et autres
Publié: (2024)

Global well-posedness and stability of three-dimensional isothermal Euler equations with damping
par: Huang, Feimin, et autres
Publié: (2025)

A critical threshold for the cosmological Euler-Poisson system
par: Fajman, David, et autres
Publié: (2025)

On the local analyticity for the Euler equations
par: Kukavica, Igor, et autres
Publié: (2025)

Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity
par: Coghi, Michele, et autres
Publié: (2023)

A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl
par: Avadanei, Ovidiu-Neculai
Publié: (2026)

Counterexamples to Strichartz estimates and gallery waves for the irrotational compressible Euler equation in a vacuum setting
par: Avadanei, Ovidiu-Neculai
Publié: (2025)

Time periodic problem of compressible Euler equations with damping on the whole space
par: Tang, Houzhi, et autres
Publié: (2025)

Instability of Data-to-Solution Map for the Log-Regularized 2D Euler System
par: Vu, Xuan-Truong
Publié: (2024)

The uniform existence time and Zero-Alpha limit problem of the Euler-Poincaré equations
par: Li, Min, et autres
Publié: (2023)

Unique continuation for water waves and dispersive multiplier equations
par: Kirkeby, Adrian
Publié: (2024)

Future stability of perfect fluids with extreme tilt and linear equation of state $p=c_s^2ρ$ for the Einstein-Euler system with positive cosmological constant: The range $\frac{1}{3}<c_s^2<\frac{3}{7}$
par: Fournodavlos, Grigorios, et autres
Publié: (2024)

Anomalous dissipation and Euler flows
par: Burczak, Jan, et autres
Publié: (2023)

Energy conservation for 3D Euler and Navier-Stokes equations in a bounded domain. Applications to Beltrami flows
par: Berselli, Luigi C., et autres
Publié: (2024)

Strong Convergence of Vorticities in the 2D Viscosity Limit on a Bounded Domain
par: Seis, Christian, et autres
Publié: (2024)

Electric inertia and ideal magnetic reconnection in 2D
par: Constantin, Peter, et autres
Publié: (2026)

Unique existence of solutions to the inviscid SQG equation in a critical space
par: Iwabuchi, Tsukasa
Publié: (2026)

Compressible Euler equations with time-dependent damping in the critical regularity setting: global well-posedness and strong relaxation limit
par: Crin-Barat, Timothée, et autres
Publié: (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
VUFIND_SESSION	"55c61787f4d709bb7faf8c0c8c32fe99"
ui	"standard"
language	"fr"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790971131.8293 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "55c61787f4d709bb7faf8c0c8c32fe99" ]`]
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	"VUFIND_SESSION=55c61787f4d709bb7faf8c0c8c32fe99; ui=standard; language=fr"
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	"216.73.217.142"
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	"64886"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2509_02023/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2509_02023/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790971131.8251
REQUEST_TIME	1790971131

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler