The work studies boundary value problems with non-dynamic and dynamic boundary conditions for one- and two-dimensional Boussinesq-type equations in domains representing a trapezoid, triangle, "curvilinear" trapezoid, "curvilinear" triangle, truncated cone, cone, truncated "curvilinear" cone, and "curvilinear" cone. Combining the methods of the theory of monotone operators and a priori estimates, in Sobolev classes, we have established theorems on the unique weak solvability of the boundary value problems under study.
Boussinesq equation \; dynamical boundary condition \; non-cylindrical domains \; non-dynamical boundary condition
the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan
AP09258892
AP09258892
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Proje Numarası | AP09258892 |
Erken Görünüm Tarihi | 3 Ağustos 2023 |
Yayımlanma Tarihi | 23 Temmuz 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 7 Sayı: 2 |