Explosive solutions of a stochastic non-local reaction-diffusion equation arising in shear band formation

DOI10.1002/MMA.3514zbMath1333.60137OpenAlexW1552091553MaRDI QIDQ2793953

Nikos I. Kavallaris

Publication date: 17 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10034/556204

zbMATH Keywords

maximum principlestochastic partial differential equationsblow-upshear band formationnon-local reaction-diffusion equation

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Blow-up in context of PDEs (35B44) Comparison principles in context of PDEs (35B51)

Related Items (4)

Global existence and finite time blow-up for a stochastic non-local reaction-diffusion equation ⋮ Finite-time blow-up of a non-local stochastic parabolic problem ⋮ Non-autonomous nonlocal partial differential equations with delay and memory ⋮ A stochastic parabolic model of MEMS driven by fractional Brownian motion

Cites Work

• Unnamed Item
• Unnamed Item
• Explosive solutions of stochastic reaction-diffusion equations in mean \(L^p\)-norm
• Finite-time blowup and existence of global positive solutions of a semi-linear SPDE
• Maximum principle and comparison theorem for quasi-linear stochastic PDE's
• Global, unbounded solutions to a parabolic equation
• White noise driven SPDEs with reflection
• Comparison of systems of stochastic partial differential equations
• Maximum principle for quasilinear SPDE's on a bounded domain without regularity assumptions
• On the blow-up of a non-local parabolic problem
• Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
• A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type
• On the growth of solutions of quasi‐linear parabolic equations

This page was built for publication: Explosive solutions of a stochastic non-local reaction-diffusion equation arising in shear band formation