Advanced Approaches to Mathematical Physics Problems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 30 November 2024 | Viewed by 907
Special Issue Editor
Interests: differential and integral equations; operator theory; ill-posed and inverse problems; scattering theory; functional analysis; spectral theory; numerical analysis; theoretical electrical engineering; signal estimation; tomography
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue concentrates on the following three topics:
- Wave scattering by many small bodies and the creation of materials with a desired refraction coefficient. Many-body wave scattering is a major problem in mathematical physics. The assumption that a<<d<<λ, where a is the characteristic size of the small bodies, d is the minimal distance between the bodies and λ is the wavelength, allows one to give an asymptotically exact solution of the many-body scattering problem when multiple scattering is essential.
- Analysis of the Navier–Stokes equation, which is one of the greatest problems in mathematical physics. This Special Issue addresses proof of the contradictory nature of the Navier–Stokes problem (NSP) in the three-dimensional space without boundaries and the NSP paradox, which solves one of the Millennium Prize Problems.
- Boundary values of analytic functions and singular integral equations in spaces of summable functions.
Prof. Dr. Alexander G. Ramm
Guest Editor
Manuscript Submission Information
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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- many-body wave scattering
- creating materials with a desired refraction coefficient
- Navier–Stokes problem
- singular integral equations on L1(S)
- summable boundary values of analytic functions
