Optimal control of a parabolic equation with a nonlocal nonlinearity

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Kenne, Cyrille, Djomegne, Landry, Mophou, Gisèle
Format:	Preprint
Veröffentlicht:	2023
Schlagworte:	Optimization and Control Analysis of PDEs 35K58, 49K20, 90C46, 92D25
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Second-order optimality conditions for the bilinear optimal control of a degenerate equation
von: Kenne, Cyrille, et al.
Veröffentlicht: (2022)

Waterborne epidemics via a new coupled SIR--Pathogen--Navier-Stokes system: Mathematical modeling, nonlinear analysis and numerical simulation
von: Mehdaoui, Mohamed, et al.
Veröffentlicht: (2025)

A nonlocal Busenberg-Travis cross-diffusion system with nonlinear Brinkman law
von: Hirvonen, Peter, et al.
Veröffentlicht: (2026)

Optimal Control of a Reaction-Diffusion Epidemic Model with Noncompliance
von: Bongarti, Marcelo, et al.
Veröffentlicht: (2024)

A nonlocal regularization of a generalized Busenberg-Travis cross-diffusion system
von: Jüngel, Ansgar, et al.
Veröffentlicht: (2024)

Boundary bilinear control of semilinear parabolic PDEs: quadratic convergence of the SQP method
von: Casas, Eduardo, et al.
Veröffentlicht: (2025)

Optimal Control of General Nonlocal Epidemic Models with Age and Space Structure
von: Azmi, Behzad, et al.
Veröffentlicht: (2025)

On the solution stability of parabolic optimal control problems
von: Corella, Alberto Domínguez, et al.
Veröffentlicht: (2022)

Optimal control of quasilinear parabolic PDEs with gradient terms and pointwise constraints on the gradient of the state
von: Bonifacius, Lucas, et al.
Veröffentlicht: (2025)

Optimal control of a tumor growth model with hyperbolic relaxation of the chemical potential
von: Colli, Pierluigi, et al.
Veröffentlicht: (2026)

On space-time FEM for time-optimal control problems governed by parabolic equations with mixed and endpoints constraints
von: Khanh, Huynh, et al.
Veröffentlicht: (2025)

Optimality conditions for sparse optimal control of viscous Cahn-Hilliard systems with logarithmic potential
von: Colli, Pierluigi, et al.
Veröffentlicht: (2024)

New second order sufficient optimality conditions for state constrained parabolic control problems
von: Casas, Eduardo, et al.
Veröffentlicht: (2024)

Optimal control for a fourth-order nonisothermal tumor growth model of Caginalp type
von: Cavalleri, Giulia, et al.
Veröffentlicht: (2026)

Optimal control on a brain tumor growth model with lactate metabolism, viscoelastic effects, and tissue damage
von: Cavalleri, Giulia, et al.
Veröffentlicht: (2025)

Stability of traveling waves in non-cooperative systems with nonlocal dispersal of equal diffusivities
von: Guo, Jong-Shenq, et al.
Veröffentlicht: (2024)

Maximal regularity and optimal control for a non-local Cahn-Hilliard tumour growth model
von: Fornoni, Matteo
Veröffentlicht: (2024)

Second-order optimality conditions for the sparse optimal control of nonviscous Cahn-Hilliard systems
von: Colli, Pierluigi, et al.
Veröffentlicht: (2024)

Existence, Stability and Optimal Drug Dosage for a Reaction-Diffusion System Arising in a Cancer Treatment
von: Morgan, Jeff, et al.
Veröffentlicht: (2024)

Stability results for Sobolev, logarithmic Sobolev, and related inequalities
von: Dolbeault, Jean
Veröffentlicht: (2024)

Biological invasions and epidemics with nonlocal diffusion along a line
von: Berestycki, Henri, et al.
Veröffentlicht: (2023)

Shock wavefronts for parabolic equations with sign-changing diffusivity
von: Berti, Diego, et al.
Veröffentlicht: (2026)

Fokker--Planck Dynamics on Star Graphs with Variable Drift: Well-Posedness, Adjoint Analysis, and Numerical Approximation
von: Kumari, Ritu, et al.
Veröffentlicht: (2026)

Existence of Viscosity Solutions to Abstract Cauchy Problems via Nonlinear Semigroups
von: Fuchs, Fabian, et al.
Veröffentlicht: (2025)

Doubly nonlinear parabolic equation with perturbation
von: Uchida, Shun
Veröffentlicht: (2025)

Stationary $p$-harmonic maps approaching planar singular harmonic maps to the circle
von: Badran, Marco, et al.
Veröffentlicht: (2025)

Optimal control of treatment in a free boundary problem modeling multilayered tumor growth
von: Zhao, Xinyue Evelyn, et al.
Veröffentlicht: (2024)

On the optimal control of viscous Cahn-Hilliard systems with hyperbolic relaxation of the chemical potential
von: Colli, Pierluigi, et al.
Veröffentlicht: (2025)

Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations
von: Khanh, Huynh, et al.
Veröffentlicht: (2024)

Curvature effects in pattern formation: well-posedness and optimal control of a sixth-order Cahn-Hilliard equation
von: Colli, Pierluigi, et al.
Veröffentlicht: (2024)

Optimal Distributed Control for a Cahn-Hilliard-Darcy System with Mass Sources, Unmatched Viscosities and Singular Potential
von: Abatangelo, Marco, et al.
Veröffentlicht: (2023)

Differentiability of the value function in control-constrained parabolic problems
von: Corella, Alberto Domínguez, et al.
Veröffentlicht: (2024)

Optimal Bilinear control restricted to the three-dimensional chemo-repulsion model with potential production
von: Guillen-Gonzalez, Francisco, et al.
Veröffentlicht: (2026)

An optimal control approach to nonlinear wave speed selection in reaction-diffusion equations
von: Crossley, Rebecca M., et al.
Veröffentlicht: (2026)

Local existence and nonexistence of solutions to the Hardy parabolic equation with general nonlinearity
von: Tsusaka, Yo
Veröffentlicht: (2026)

A note on quantifying the contributions of incidence functions in spatio-temporal epidemic models
von: Mehdaoui, Mohamed, et al.
Veröffentlicht: (2025)

Optimal control related to weak solutions of a chemotaxis-consumption model
von: Guillén-González, Francisco, et al.
Veröffentlicht: (2022)

Distributed Online Optimization for Multi-Agent Optimal Transport
von: Krishnan, Vishaal, et al.
Veröffentlicht: (2018)

Parabolic equations with concave non-linearity
von: Avetisyan, Zhirayr, et al.
Veröffentlicht: (2024)

Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes
von: Karatzas, EFthymios N.
Veröffentlicht: (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

Key	Value
language	"de"
VUFIND_SESSION	"c69b2d5e97db57dc91eab9fdbe1895ab"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1791001083.4417 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "c69b2d5e97db57dc91eab9fdbe1895ab" ]`]
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	"language=de; VUFIND_SESSION=c69b2d5e97db57dc91eab9fdbe1895ab; ui=standard"
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	"59698"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2306_14559/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2306_14559/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1791001083.4256
REQUEST_TIME	1791001083

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler