:: Library Catalog

Saved in:

Bibliographic Details
Main Authors:	Rakotomalala, Matthias, de Wit, Oscar
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2601.16820
Tags:	Add Tag No Tags, Be the first to tag this record!

Curvature in chemotaxis: A model for ant trail pattern formation
by: Bertucci, Charles, et al.
Published: (2024)

Strategic geometric graphs through mean field games
by: Bertucci, Charles, et al.
Published: (2024)

Lane formation and aggregation spots in a model of ants
by: Bruna, Maria, et al.
Published: (2024)

Existence of weak solutions to some stationary Schr{ö}dinger equations with singular nonlinearity
by: Bégout, Pascal, et al.
Published: (2013)

Existence of stationary solutions of supercritical nonlinear Schr{ö}dinger equations on some metric graphs
by: Boussaïd, Nabile, et al.
Published: (2025)

Existence of solutions to Dirichlet boundary value problems of the stationary relativistic Boltzmann equation
by: Wang, Yi, et al.
Published: (2024)

Existence and non-uniqueness of classical solutions to the axially symmetric stationary Navier-Stokes equations in an exterior cylinder
by: Li, Zijin, et al.
Published: (2025)

Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures
by: Buliček, Miroslav, et al.
Published: (2020)

Existence of solutions for a model of the Earth's magnetic field
by: Bedrossian, Jacob, et al.
Published: (2026)

Nontrivial integrable weak stationary solutions to active scalar equations with non-odd drift
by: Gismondi, Nicholas
Published: (2026)

Convergence of a finite volume scheme for a model for ants
by: Bruna, Maria, et al.
Published: (2025)

Existence of suitable weak solutions to an anisotropic electrokinetic flow model
by: Hömberg, Dietmar, et al.
Published: (2024)

A multi-scale multi-lane model for traffic regulation via autonomous vehicles
by: Goatin, Paola, et al.
Published: (2024)

Existence theorems for nonlinear stationary Kolmogorov equations with partially degenerate diffusion matrices
by: Embarek, Aziz M., et al.
Published: (2026)

Existence and multiplicity of solutions to the mean-field games model with mixed interactions
by: Li, Xinfu, et al.
Published: (2026)

Existence of weak solutions for the kinetic models of motion of myxobacteria with alignment and reversals
by: Murphy, Patrick, et al.
Published: (2024)

Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming
by: Chaudhuri, Nilasis, et al.
Published: (2024)

Positive singular solutions of a certain elliptic PDE
by: Mohammadnejad, Negar
Published: (2025)

Existence of martingale solutions to a stochastic kinetic model of chemotaxis
by: Gess, Benjamin, et al.
Published: (2025)

Existence of weak solutions and regular solutions to the incompressible Schrödinger flow
by: Chen, Bo, et al.
Published: (2026)

Three dimensional stationary solutions of the Electron MHD equations
by: Peng, Qirui
Published: (2024)

Existence of solutions to k-Wave models of nonlinear ultrasound propagation in biological tissue
by: Cox, Ben, et al.
Published: (2024)

An Lp-theory for fractional stationary Navier-Stokes equations
by: Jarrín, Oscar, et al.
Published: (2023)

Existence of stationary measures for partially damped SDEs with generic, Euler-type nonlinearities
by: Bedrossian, Jacob, et al.
Published: (2024)

Existence of solution to modified Gursky-Streets equation
by: Huang, Yi, et al.
Published: (2024)

Existence of periodic solutions for the Grushin critical problem
by: Wu, Wenju, et al.
Published: (2025)

Existence and nonexistence of solutions for fractional elliptic equations arising from closed MEMS model
by: Chen, Huyuan, et al.
Published: (2026)

Local existence of solutions to a nonlinear autonomous PDE model for population dynamics with nonlocal transport and competition
by: Lindstrom, Michael R.
Published: (2024)

Existence of weak solutions for a volume-filling model of cell invasion into extracellular matrix
by: Crossley, Rebecca M., et al.
Published: (2024)

Existence of a solution of the TV Wasserstein gradient flow
by: Lin, Kexin, et al.
Published: (2026)

Existence and regularity of solutions to parabolic-elliptic nonlinear systems
by: Picerni, Marco
Published: (2026)

Existence and nonexistence of solutions for singular quadratic quasilinear equations
by: Arcoya, David, et al.
Published: (2025)

Existence of Solutions and Selection Problem for Quasi-stationary Contact Mean Field Games
by: Hu, Xiaotian
Published: (2025)

Existence and long-time behavior of global strong solutions to a nonlinear model of tumor growth
by: Kuan, Jeffrey, et al.
Published: (2025)

Removable singularity of (-1)-homogeneous solutions of stationary Navier-Stokes equations
by: Li, Li, et al.
Published: (2024)

Recent research on $(-1)$-homogeneous solutions of stationary Navier-Stokes equations
by: Li, Li, et al.
Published: (2025)

Intermittent solutions of the stationary 2D surface quasi-geostrophic equation
by: Gismondi, Nicholas, et al.
Published: (2025)

Approximation and perturbations of stable solutions to a stationary mean field game system
by: Berry, Jules, et al.
Published: (2024)

PDE formulation of some SABR/LIBOR market models and its numerical solution with a sparse grid combination technique
by: López-Salas, J. G., et al.
Published: (2024)

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

Cookies empty

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784583843.2748 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "7ad60a8fe174f52d80d7fd422b1a4ab8" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#937}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1582}
SessionHelper	Laminas\Stdlib\ArrayObject {#1771}

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_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	"216.73.216.85"
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	"35462"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2601_16820/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2601_16820/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784583843.2672
REQUEST_TIME	1784583843

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Cookies empty

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784583843.2748 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "7ad60a8fe174f52d80d7fd422b1a4ab8" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#937}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1582}
SessionHelper	Laminas\Stdlib\ArrayObject {#1771}

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_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	"216.73.216.85"
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	"35462"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2601_16820/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2601_16820/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784583843.2672
REQUEST_TIME	1784583843

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: