Asymptotics for the eigenelements of vibrating membranes with very heavy thin inclusions

Short-time asymptotics of the two-dimens

Short-time asymptotics of the two-dimensional wave equation for an annular vibrating membrane with applications in the mathematical physics

✍ E.M.E. Zayed 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 152 KB

We study the influence of a finite container on an ideal gas using the wave equation approach. The asymptotic expansion of the trace of the wave kernel l lðtÞ , where fl m g 1 m¼1 are the eigenvalues of the negative Laplacian ÀD ¼ À , is studied for an annular vibrating membrane X in R 2 together