System of Two Quasi-Linear Parabolic Equations With Integral Kinematic Boundary Condition

Martyniuk, Petro; Ostapchuk, Oksana; Pryshchepa, O. V.; Hladun, L.

doi:10.17654/hm016010053

JPHMT

2019

DOI: 10.17654/hm016010053

|View full text |Cite

System of Two Quasi-Linear Parabolic Equations With Integral Kinematic Boundary Condition

Petro Martyniuk¹,

Oksana Ostapchuk²,

O. V. Pryshchepa³

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Mathematical modeling of solid municipal waste landfill surface settlement with regard to organic component biodegradation

Shostak,

Martyniuk

2024

Math. Model. Comput.

View full text Add to dashboard Cite

Landfilling of municipal solid waste generates a number of problems. This article focuses on one of them – the settling of the landfill surface due to organic residue biodegradation. The task of predicting the settlement of the waste storage surface is proposed to be solved within the framework of the theory of filtration consolidation of porous media. Accordingly, the problem of the dynamics of methane and carbon dioxide emission into the atmosphere was solved on the basis of known experimental data. The application of the proposed approaches made it possible to avoid modeling microbial dynamics and determining the stress-strain state of the waste storage massif, which would significantly complicate the mathematical model of the problem. Numerical solutions of the corresponding boundary value problem in a variable-time domain were found using the finite element method. Numerical experiments show changes in the dynamics of waste storage surface settlements for the case of taking into account biodegradation effects.

show abstract

Mathematical modeling of solid municipal waste landfill surface settlement with regard to organic component biodegradation

Shostak,

Martyniuk

2024

Math. Model. Comput.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

System of Two Quasi-Linear Parabolic Equations With Integral Kinematic Boundary Condition

Cited by 1 publication

References 0 publications

Mathematical modeling of solid municipal waste landfill surface settlement with regard to organic component biodegradation

Mathematical modeling of solid municipal waste landfill surface settlement with regard to organic component biodegradation

Contact Info

Product

Resources

About