:: Library Catalog

Saved in:

Bibliographic Details
Main Authors:	Li, Bolun, Shi, Fengqiang, Wang, Wendong
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2605.02394
Tags:	Add Tag No Tags, Be the first to tag this record!

A nonlinear instability result to the Navier-Stokes equations with Navier slip boundary conditions
by: Nguyen, Tien-Tai
Published: (2025)

Uniform bounds and the inviscid limit for the Navier-Stokes equations with Navier boundary conditions
by: Aydın, Mustafa Sencer, et al.
Published: (2024)

Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
by: Bravin, Marco, et al.
Published: (2024)

Global stability for compressible isentropic Navier-Stokes equations in 3D bounded domains with Navier-slip boundary conditions
by: Liu, Yang, et al.
Published: (2025)

Incompressible and vanishing vertical viscosity limit for the compressible Navier-Stokes system with Dirichlet boundary conditions
by: Masmoudi, Nader, et al.
Published: (2025)

Hele-Shaw limit of chemotaxis-Navier-Stokes flows
by: He, Qingyou, et al.
Published: (2025)

The Navier-Stokes equations in $\mathbb R^2_+$ with point vortex initial data: Zero-viscosity limit
by: Wang, Chao, et al.
Published: (2026)

High viscosity limit for the multi-dimensional compressible Navier-Stokes equations
by: Danchin, Raphaël
Published: (2026)

Asymptotic analysis of the Navier-Stokes equations in a thin domain with power law slip boundary conditions
by: Anguiano, María, et al.
Published: (2025)

Stabilization of nonautonomous Navier-Stokes flows under dynamic slip boundary conditions
by: Priyasad, Buddhika, et al.
Published: (2026)

Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities
by: Bisconti, Luca, et al.
Published: (2024)

Liouville type theorems for the fractional Navier-Stokes equations without the integrability condition of velocity in $\mathbb{R}^3$
by: Wang, Wendong, et al.
Published: (2025)

Vanishing viscosity limit of the Navier-Stokes equations in a horizontally periodic strip
by: Fei, Mingwen, et al.
Published: (2023)

On the two-dimensional Navier-Stokes equations with horizontal viscosity
by: Cao, Chongsheng, et al.
Published: (2025)

Stability and bifurcation of Navier-Stokes equations in an annular domain with mixed boundary conditions
by: Hou, Zhibo, et al.
Published: (2025)

Diffusion-free boundary conditions for the Navier-Stokes equations
by: Dormy, Emmanuel, et al.
Published: (2025)

Inviscid limit on $L^p$-based Sobolev conormal spaces for the 3D Navier-Stokes equations with the Navier boundary conditions
by: Aydın, Mustafa Sencer
Published: (2025)

The Navier-Stokes equations on manifolds with boundary
by: Shao, Yuanzhen, et al.
Published: (2023)

Infinite Prandtl number convection with Navier-slip boundary conditions
by: Seis, Christian
Published: (2025)

Local classical solutions to Navier-Stokes equations with degenerate viscosities and vacuum
by: Li, Yachun, et al.
Published: (2024)

Nitsche method for the Stokes-Poisson-Boltzmann equation with Navier slip boundary condition
by: Agrawal, Ayush, et al.
Published: (2026)

On a 3D Stokes eigenvalue problem under Navier slip-with-friction boundary conditions and applications to Navier-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2024)

Nishida-Smoller type large solutions for the compressible Navier-Stokes equations with slip boundary conditions in 3D exterior domains
by: Xie, Minghong, et al.
Published: (2025)

Large time behavior for the 3D Navier-Stokes with Navier boundary conditions
by: Kelliher, James P., et al.
Published: (2023)

On blow-up to the one-dimensional Navier-Stokes equations with degenerate viscosity and vacuum
by: Cao, Yue, et al.
Published: (2024)

The Stokes problem with Navier boundary conditions in irregular domains
by: Breit, Dominic, et al.
Published: (2025)

Steady compressible Navier-Stokes-Fourier system with slip boundary conditions arising from kinetic theory
by: Duan, Renjun, et al.
Published: (2024)

Smooth controllability of the Navier-Stokes equation with Navier conditions. Application to Lagrangian controllability
by: Liao, J., et al.
Published: (2020)

Global uniform regularity and vanishing vertical viscosity limit for the compressible Navier--Stokes equations in the half-space
by: Gao, Jincheng, et al.
Published: (2026)

A stochastic fluid-structure interaction problem with the Navier slip boundary condition
by: Tawri, Krutika
Published: (2024)

Nishida-Smoller type large solutions and exponential growth for the compressible Navier-Stokes equations with slip boundary conditions in 3D bounded domain
by: Xu, Saiguo, et al.
Published: (2025)

On 2D Navier-Stokes free boundary: nonnegative density and small viscosity contrast
by: Gancedo, Francisco, et al.
Published: (2025)

Stochastically forced compressible Navier-Stokes equations with slip boundary conditions of friction type
by: Tsuboya, Reo
Published: (2026)

Critical mass threshold for the 2D Patlak-Keller-Segel-Navier-Stokes system
by: Wang, Wendong, et al.
Published: (2026)

Suppression of blow-up in Patlak-Keller-Segel system coupled with linearized Navier-Stokes equations via the 3D Couette flow
by: Cui, Shikun, et al.
Published: (2024)

Poisson kernel and blow-up of the second derivatives near the boundary for Stokes equations with Navier boundary condition
by: Chen, Hui, et al.
Published: (2024)

Global stability for the compressible isentropic magnetohydrodynamic equations in 3D bounded domains with Navier-slip boundary conditions
by: Liu, Yang, et al.
Published: (2025)

Euler equations with non-homogeneous Navier slip boundary condition
by: Chemetov, N. V., et al.
Published: (2024)

The local regularity theory for the Stokes and Navier--Stokes equations near the curved boundary
by: Chen, Hui, et al.
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"
VUFIND_SESSION	"ca545c0fd970fd44aa8adfe3ab3e4562"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784678577.4901 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "ca545c0fd970fd44aa8adfe3ab3e4562" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=ca545c0fd970fd44aa8adfe3ab3e4562; language=en"
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	"57790"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2605_02394/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2605_02394/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784678577.4855
REQUEST_TIME	1784678577

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"ca545c0fd970fd44aa8adfe3ab3e4562"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784678577.4901 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "ca545c0fd970fd44aa8adfe3ab3e4562" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=ca545c0fd970fd44aa8adfe3ab3e4562; language=en"
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	"57790"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2605_02394/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2605_02394/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784678577.4855
REQUEST_TIME	1784678577

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: