Skip to main content
Log in

Scattering of plane waves by a moving obstacle

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Buchal, R.N., The approach to steady state solutions of exterior boundary value problems for the wave equation, J. Math. Mech. 12, 225–234 (1963)

    Google Scholar 

  2. Cooper, J., Local energy decay of solutions of the wave equation in the exterior of a moving body, J. Math. Anal. Appl. 49, 130–153 (1975)

    Google Scholar 

  3. Cooper, J. & W. Strauss, Energy boundedness and decay of waves reflecting off a moving obstacle, Indiana J. Math., 25, 671–690 (1976)

    Google Scholar 

  4. Courant, R., & D. Hilbert, Methods of Mathematical Physics, Vol. 2, New York: Interscience 1953

    Google Scholar 

  5. Fock, V., Theory of Space Time and Gravitation, New York: Macmillan (1964)

    Google Scholar 

  6. Friedlander, F.G., An Inverse Problem for Radiation Fields, Proc. London Math. Soc. 27, 551–576 (1973)

    Google Scholar 

  7. Lax, P. & R. Phillips, Scattering Theory, New York and London: Academic Press 1967

    Google Scholar 

  8. Morawetz, C., The Limiting Amplitude Principle, Comm. Pure Appl. Math. 15, 349–361 (1962)

    Google Scholar 

  9. Morawetz, C., Exponential decay of solutions of the wave equation, Comm. Pure Appl. Math. 19, 439–444 (1966)

    Google Scholar 

  10. Niznik, L.P., The Scattering Problem for Non-stationary Perturbations, Doklady: Soviet Math. Vol. 1, 478–481 (1960)

    Google Scholar 

  11. Strauss, W., Decay of solutions of hyperbolic equations with localized nonlinear terms, Symposia Mathematica VII, Inst. Naz. Alta. Mat. Rome 339–355 (1971)

    Google Scholar 

  12. Wilcox, C., A generalization of the theorems of Rellich and Atkinson, Proc. A.M.S. 7, 271–278 (1956)

    Google Scholar 

  13. Wilcox, C., Spherical Means and Radiation Conditions, Arch. Rational Mech. Anal., 3, 133–148 (1959)

    Google Scholar 

  14. Wilcox, C., Scattering Theory for The d'Alembert Equation in Exterior Domains, Lecture Notes in Mathematics #442, Berlin and New York: Springer 1975

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by C. Dafermos

This research was partially supported by National Science Foundation under Grant No. MCS 76-06759.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cooper, J. Scattering of plane waves by a moving obstacle. Arch. Rational Mech. Anal. 71, 113–141 (1979). https://doi.org/10.1007/BF00248724

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00248724

Keywords

Navigation