Heterogeneous gradient flows in the topology of fibered optimal transport

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Peszek, Jan, Poyato, David
Formato:	Preprint
Publicado:	2022
Materias:	Analysis of PDEs 35A15 (Primary) 28A33, 35B40, 49K20, 70G75 (Secondary)
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Derivation of variational membrane models in the context of anisotropic nonlocal hyperelasticity
por: Engl, Dominik, et al.
Publicado: (2026)

On blow-ups of sets with finite fractional variation
por: Stefani, Giorgio
Publicado: (2025)

Nonlocal gradients: Fundamental theorem of calculus, Poincaré inequalities and embeddings
por: Bellido, José Carlos, et al.
Publicado: (2024)

On well-posedness for second-order degenerate parabolic equations with unbounded lower-order terms
por: Baadi, Khalid
Publicado: (2025)

Discrete-to-continuum linearization in atomistic dynamics
por: Friedrich, Manuel, et al.
Publicado: (2023)

Mean-field limit of 2D stationary particle systems with signed Coulombian interactions
por: Peszek, Jan, et al.
Publicado: (2024)

Transport equations in Hölder space by vanishing viscosity and applications
por: Honoré, Igor
Publicado: (2022)

A game interpretation for the weighted $p$-Laplace equation
por: Aihara, Mamoru
Publicado: (2024)

Traveling wave profiles for a semi-discrete Burgers equation
por: Kouskiya, Uditnarayan, et al.
Publicado: (2025)

Nonlocal-to-local limit in linearized viscoelasticity
por: Friedrich, Manuel, et al.
Publicado: (2024)

Optimizing Resource Distribution in a One-Dimensional Logistic Diffusion Model
por: Heo, Junyoung, et al.
Publicado: (2025)

A fractional De Giorgi isoperimetric type inequality
por: Cozzi, Matteo, et al.
Publicado: (2026)

Asymptotic Behavior of Rupture Solutions for the Elliptic MEMS Equation with Hénon-Type and External Pressure Terms
por: Li, Yunxiao, et al.
Publicado: (2025)

Displacement smoothness of entropic optimal transport
por: Carlier, Guillaume, et al.
Publicado: (2022)

Long-time behavior of free energy in the nonlinear Fokker-Planck equation
por: Araki, Kouta, et al.
Publicado: (2025)

Well-posedness of a Pseudo-Parabolic KWC System in Materials Science
por: Antil, Harbir, et al.
Publicado: (2024)

Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications
por: Giga, Yoshikazu, et al.
Publicado: (2025)

On the second-order regularity of solutions to widely singular or degenerate elliptic equations
por: Ambrosio, Pasquale, et al.
Publicado: (2024)

On widely degenerate \textit{p}-Laplace equations with symmetric data
por: Russo, Stefania
Publicado: (2024)

Existence of variational solutions to doubly nonlinear systems in nondecreasing domains
por: Schätzler, Leah, et al.
Publicado: (2025)

A gradient flow for the Porous Medium Equations with Dirichlet boundary conditions
por: Kim, Dongkwang, et al.
Publicado: (2022)

On an obstacle problem for the Brakke flow with a generalized right-angle boundary condition
por: Nik, Katerina, et al.
Publicado: (2024)

A strong quantitative form of the fractional isoperimetric inequality
por: Cinti, Eleonora, et al.
Publicado: (2025)

Gamma-convergence as $s\to1^-$ of anisotropic nonlocal fractional perimeter functionals
por: Fanizza, Alberto
Publicado: (2025)

Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations
por: Chikami, Noboru, et al.
Publicado: (2023)

Existence of traveling waves for vector valued gradient flows
por: Chen, Xinfu, et al.
Publicado: (2025)

Quasilinear problems with critical Sobolev exponent for the Grushin p-Laplace operator
por: Gandal, Somnath, et al.
Publicado: (2025)

On the existence of non-negative weak solutions for $1D$ fourth order equations of gradient flow type
por: Georgiadis, Stefanos, et al.
Publicado: (2025)

Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms
por: Carazzato, Davide, et al.
Publicado: (2025)

Finite Dimensional Projections of HJB Equations in the Wasserstein Space
por: Święch, Andrzej, et al.
Publicado: (2024)

Dimension-independent functional inequalities by tensorization and projection arguments
por: Baudoin, Fabrice, et al.
Publicado: (2024)

A porous medium equation with rough weights: sharp Widder theory
por: Grillo, Gabriele, et al.
Publicado: (2025)

Nonlocal critical problems with mixed boundary conditions and nearly resonant perturbations
por: Colorado, Eduardo, et al.
Publicado: (2025)

Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces
por: Carl, Siegfried, et al.
Publicado: (2025)

Homogenisation for the Robin eigenvalue problem on manifolds and flexibility of optimal Schrödinger potentials
por: Lo, Chia-Chun
Publicado: (2024)

Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems
por: Kreisbeck, Carolin, et al.
Publicado: (2024)

The universal Lipschitz path space of the Heisenberg group $\mathbb{H}^1$
por: Perry, Daniel
Publicado: (2024)

On the unimportance of distant players in sparse stochastic differential network games
por: Cirant, Marco, et al.
Publicado: (2026)

Sharp Makai-type inequalities for the best Poincaré-Sobolev constants
por: Pisante, Giovanni, et al.
Publicado: (2026)

Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole
por: Acevedo, Ignacio, et al.
Publicado: (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"
VUFIND_SESSION	"d5ec67625d0f721368567eb415586b5e"
language	"es"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790899806.2586 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "d5ec67625d0f721368567eb415586b5e" ]`]
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; VUFIND_SESSION=d5ec67625d0f721368567eb415586b5e; language=es"
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	"2778"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2203_08104/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2203_08104/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790899806.242
REQUEST_TIME	1790899806

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler