I. B. Bakholdin, V. I. Erofeev, A. T. Il'ichev, “Spectral stability of subsonic solitary waves in an elastic electrically conductive micropolar medium”, Continuum Mechanics and Thermodynamics, 2025, том 37, 88

Финансовая поддержка	Номер гранта
Министерство науки и высшего образования Российской Федерации	FFUF-2024-0031
Российский научный фонд	19-71-30012
The research of I. Bakholdin is conducted in the framework of the state assignment for Keldysh Institute for Applied Mathematics of Russian Academy of Sciences. He fulfilled part of section 3 concerning the semi-analytical construction of the zeros of the Evans function in the right half-plane of the spectral parameter using numerical methods and direct numerical modeling of the evolution of solitary waves, as well as section 4. The work of V. Erofeev was carried out within the state assignment to Federal Research Center of A.V. Gaponov–Grekhov Institute of Applied Physics of Russian Academy of Sciences for fundamental scientific research for 2024-2026 (topic FFUF -2024-0031, No 1023032800130-3-2.3.2). He wrote part of the Introduction and fulfilled section 2. The work of A. Il’ichev was supported by the Russian Science Foundation under grant no 19-71-30012, https://rscf.ru/project/19-71-30012/, and performed at Steklov Mathematical Institute of Russian Academy of Sciences. He wrote part of the Introduction, fulfilled part of section 3, which concerns the analytical postulation of the Evans function: construction of the principal matrix $M$ of the linearized system, localization of the eigenvalues of the matrix asymptotic to $M$ at infinity and the asymptotic expression for them at the origin on the complex plane of the spectral parameter, adapting the exterior form approach to construction of the extended matrix system, etc. He also wrote section 5 Conclusion and Discussion.