A one-dimensional inverse problem for a quasilinear hyperbolic system with an unknown excitation source is considered. The Cauchy problem for a nonlinear Hopf-type system is studied. A Fourier transform is used to reduce the inverse problem to a direct problem, and an existence and uniqueness theorem for the solution is proved. The approach used can form the basis for constructing an efficient numerical algorithm for the inverse problem.
| Mualliflar | Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., Iskandarov, I. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2026-1-15 |
DOI: 10.29229/uzmj.2026-1-15 · Maqolaning asl sahifasi
Two-velocity hydrodynamics, viscous fluid, relative velocity, direct problem, inverse problem, Darcy coefficient
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