MEAN FIELD THEORIES AND DUAL VARIATION: A Mathematical Profile Emerged in the Nonlinear Hierarchy
ມ.ກ. 2009 · Atlantis Studies in Mathematics for Engineering and Science ຫົວທີ 2 · Springer Science & Business Media
ປຶ້ມອີບຸກ
288
ໜ້າ
reportບໍ່ໄດ້ຢັ້ງຢືນການຈັດອັນດັບ ແລະ ຄຳຕິຊົມ ສຶກສາເພີ່ມເຕີມ
ກ່ຽວກັບປຶ້ມ e-book ນີ້
A mathematical theory is introduced in this book to unify a large class of nonlinear partial differential equation (PDE) models for better understanding and analysis of the physical and biological phenomena they represent. The so-called mean field approximation approach is adopted to describe the macroscopic phenomena from certain microscopic principles for this unified mathematical formulation. Two key ingredients for this approach are the notions of “duality” according to the PDE weak solutions and “hierarchy” for revealing the details of the otherwise hidden secrets, such as physical mystery hidden between particle density and field concentration, quantized blow up biological mechanism sealed in chemotaxis systems, as well as multi-scale mathematical explanations of the Smoluchowski–Poisson model in non-equilibrium thermodynamics, two-dimensional turbulence theory, self-dual gauge theory, and so forth. This book shows how and why many different nonlinear problems are inter-connected in terms of the properties of duality and scaling, and the way to analyze them mathematically.
ໃຫ້ຄະແນນ e-book ນີ້
ບອກພວກເຮົາວ່າທ່ານຄິດແນວໃດ.
ອ່ານຂໍ້ມູນຂ່າວສານ
ສະມາດໂຟນ ແລະ ແທັບເລັດ
ຕິດຕັ້ງ ແອັບ Google Play Books ສຳລັບ Android ແລະ iPad/iPhone. ມັນຊິ້ງຂໍ້ມູນໂດຍອັດຕະໂນມັດກັບບັນຊີຂອງທ່ານ ແລະ ອະນຸຍາດໃຫ້ທ່ານອ່ານທາງອອນລາຍ ຫຼື ແບບອອບລາຍໄດ້ ບໍ່ວ່າທ່ານຈະຢູ່ໃສ.
ແລັບທັອບ ແລະ ຄອມພິວເຕີ
ທ່ານສາມາດຟັງປຶ້ມສຽງທີ່ຊື້ໃນ Google Play ໂດຍໃຊ້ໂປຣແກຣມທ່ອງເວັບຂອງຄອມພິວເຕີຂອງທ່ານໄດ້.
eReaders ແລະອຸປະກອນອື່ນໆ
ເພື່ອອ່ານໃນອຸປະກອນ e-ink ເຊັ່ນ: Kobo eReader, ທ່ານຈຳເປັນຕ້ອງດາວໂຫຼດໄຟລ໌ ແລະ ໂອນຍ້າຍມັນໄປໃສ່ອຸປະກອນຂອງທ່ານກ່ອນ. ປະຕິບັດຕາມຄຳແນະນຳລະອຽດຂອງ ສູນຊ່ວຍເຫຼືອ ເພື່ອໂອນຍ້າຍໄຟລ໌ໄໃສ່ eReader ທີ່ຮອງຮັບ.
