Peter Lax

Peter Lax
Lax pada 1969
LahirPéter Dávid Lax
(1926-05-01)1 Mei 1926
Budapest, Kerajaan Hungaria
Meninggal16 Mei 2025(2025-05-16) (umur 99)
Kota New York, AS
KebangsaanAmerika Serikat, Hungaria
PendidikanUniversitas New York (BS, MS, PhD)
Universitas Texas A&M
Universitas New Mexico
Universitas Stanford
Dikenal atasTeorema kesetaraan Lax
Pasangan Lax
Teorema Lax–Milgram
Metode Lax–Friedrichs
Metode Lax–Wendroff
Teorema Lax–Wendroff
Teorema Beurling–Lax
Penyelesai HLLE
Operator integral Fourier
Penghargaan
Karier ilmiah
BidangMatematika
InstitusiInstitut Courant
DisertasiNonlinear System of Hyperbolic Partial Differential Equations in Two Independent Variables (1949)
Pembimbing doktoralK. O. Friedrichs
Mahasiswa doktoral

Peter David Lax (1 Mei 1926 – 16 Mei 2025) adalah seorang matematikawan Amerika Serikat kelahiran Hungaria dan penerima Hadiah Abel yang bekerja di bidang matematika murni dan terapan.

Lax telah memberikan kontribusi penting pada sistem terpadu, dinamika fluida dan gelombang kejut, fisika solitonik, hukum konservasi hiperbolik, dan komputasi matematika dan ilmiah, di antara bidang-bidang lainnya.

Dalam sebuah makalah tahun 1958, Lax menyatakan sebuah dugaan tentang representasi matriks untuk polinomial hiperbolik orde ketiga yang tidak terbukti selama lebih dari empat dekade. Minat terhadap "dugaan Lax" tumbuh ketika matematikawan yang bekerja di beberapa bidang berbeda menyadari pentingnya implikasinya di bidang mereka, hingga akhirnya terbukti benar pada tahun 2003.[1]

Buku

  • Lax, Peter D.; Maria Shea, Terrell (2014). Calculus With Applications. Undergraduate Texts in Mathematics (Edisi 2nd). Springer New York, NY. doi:10.1007/978-1-4614-7946-8. ISBN 978-1-4614-7945-1.
  • Calculus with Applications and Computing, with S. Burstein and A. Lax, Springer-Verlag, New York (1979).
  • Complex Proofs of Real Theorems, with Lawrence Zalcman, University Lecture Series, 2012; 90 pp; softcover, Volume: 58, ISBN 978-0-8218-7559-9
  • Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws, with J. Glimm, American Mathematical Society (1970).
  • Functional Analysis, Wiley-Interscience, New York (2002). (Review[2])
  • Hyperbolic Partial Differential Equations, American Mathematical Society/Courant Institute of Mathematical Sciences (2006).
  • Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, Society for Industrial Mathematics (1987).
  • Linear Algebra and Its Applications, 2nd ed., Wiley-Interscience, New York (2007).
  • Mathematical Aspects of Production and Distribution of Energy
  • Nonlinear Partial Differential Equations in Applied Science
  • Recent Advances in Partial Differential Equations
  • Recent Mathematical Methods in Nonlinear Wave Propagation, with G. Boillat, C. M. Dafermos, T.-P. Liu, and T. Ruggeri, Springer (1996).
  • Scattering Theory, with R. S. Phillips, Academic Press (1989), ISBN 0-12-440051-5.
  • Scattering Theory for Automorphic Functions with R. S. Phillips, Princeton Univ. Press (2001).
  • Lax, Peter D. (2005). Selected papers. Vol. I. Berlin, New York: Springer-Verlag. ISBN 978-0-387-22925-6. MR 2164867.[3]
  • Lax, Peter D. (2005). Selected papers. Vol. II. Berlin, New York: Springer-Verlag. ISBN 978-0-387-22926-3. MR 2164868.

Catatan

  1. ^ Lewis, Adrian S.; Parrilo, Pablo A.; Ramana, Motakuri V. (2005). "The Lax conjecture is true". Proc. Amer. Math. Soc. 133 (9): 2495–2499. arXiv:math/0304104. doi:10.1090/S0002-9939-05-07752-X. MR 2146191. S2CID 17436983.
  2. ^ Zhu, Meijun (2006). "Review: Functional analysis, by Peter D. Lax" (PDF). Bull. Amer. Math. Soc. (N.S.). 43 (1): 123–126. doi:10.1090/s0273-0979-05-01073-6.
  3. ^ Hersh, Reuben (2006). "Review of Selected papers of Peter Lax, Vol. I, edited by Peter Sarnak and Andrew Majda". Bull. Amer. Math. Soc. 43: 605–608. doi:10.1090/s0273-0979-06-01117-7.

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