On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation

Muhammed Hasdemir; Özlem Kaytmaz

doi:10.33401/fujma.1833055

On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation

Abstract

Stationary Boltzmann-type equations appear in many physical modeling contexts, such as time-independent neutron transport, rarefied gas flows, radiative transfer problems, and plasma equilibrium configurations. In this work, we investigate the uniqueness of the solution to an inverse source problem for a stationary Boltzmann-type equation posed in a phase-space domain. The inverse problem is supplemented with boundary conditions and additional interior point data. The proof of the uniqueness of the solution to the inverse problem is based on a divergence-type identity that couples the transport, collision, and source terms and makes essential use of the additional interior information together with the boundary conditions.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Muhammed Hasdemir ^*
0000-0001-5901-3699
Türkiye

Özlem Kaytmaz
0000-0003-0420-007X
Türkiye

Publication Date

December 30, 2025

Submission Date

November 30, 2025

Acceptance Date

December 25, 2025

Published in Issue

Year 2025 Volume: 8 Number: 4

DOI

https://doi.org/10.33401/fujma.1833055

IZ

https://izlik.org/JA82FX26DG

Cite

RIS / Bibtex

APA

Hasdemir, M., & Kaytmaz, Ö. (2025). On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation. Fundamental Journal of Mathematics and Applications, 8(4), 235-243. https://doi.org/10.33401/fujma.1833055

AMA

1.Hasdemir M, Kaytmaz Ö. On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation. Fundam. J. Math. Appl. 2025;8(4):235-243. doi:10.33401/fujma.1833055

Chicago

Hasdemir, Muhammed, and Özlem Kaytmaz. 2025. “On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation”. Fundamental Journal of Mathematics and Applications 8 (4): 235-43. https://doi.org/10.33401/fujma.1833055.

EndNote

Hasdemir M, Kaytmaz Ö (December 1, 2025) On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation. Fundamental Journal of Mathematics and Applications 8 4 235–243.

IEEE

[1]M. Hasdemir and Ö. Kaytmaz, “On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation”, Fundam. J. Math. Appl., vol. 8, no. 4, pp. 235–243, Dec. 2025, doi: 10.33401/fujma.1833055.

ISNAD

Hasdemir, Muhammed - Kaytmaz, Özlem. “On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation”. Fundamental Journal of Mathematics and Applications 8/4 (December 1, 2025): 235-243. https://doi.org/10.33401/fujma.1833055.

JAMA

1.Hasdemir M, Kaytmaz Ö. On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation. Fundam. J. Math. Appl. 2025;8:235–243.

MLA

Hasdemir, Muhammed, and Özlem Kaytmaz. “On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation”. Fundamental Journal of Mathematics and Applications, vol. 8, no. 4, Dec. 2025, pp. 235-43, doi:10.33401/fujma.1833055.

Vancouver

1.Muhammed Hasdemir, Özlem Kaytmaz. On the Uniqueness of the Solution to an Inverse Problem for a Stationary Boltzmann-Type Equation. Fundam. J. Math. Appl. 2025 Dec. 1;8(4):235-43. doi:10.33401/fujma.1833055