(Progress in nonlinear differential equations and their applications
مشخصه جلد
; v. 62)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (p. [345]-359) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
"This book examines a nonlinear system of parabolic partial differential equations (PDEs) arising in mathematical biology and statistical mechanics. This book describes the whole picture, i.e., the mathematical and physical principles: derivation of a series of equations, biological modeling based on biased random walks, the study of equilibrium states via the variational structure derived from the free energy, and the quantized blowup mechanism based on several PDE techniques." "Free Energy and Self-Interacting Particles is suitable for researchers and graduate students of mathematics and applied mathematics who are interested in nonlinear PDEs in stochastic processes, cellular automata, variational methods, and their applications to natural sciences. It is also suitable for researchers in other fields such as physics, chemistry, biology, and engineering."--BOOK JACKET.
متن يادداشت
1. Summary -- 2. Background -- 3. Fundamental theorem -- 4. Trudinger-Moser inequality -- 5. Green's function -- 6. Equilibrium states -- 7. Blowup analysis for stationary solutions -- 8. Multiple existence -- 9. Dynamical equivalence -- 10. Formation of collapses -- 11. Finiteness of blowup points -- 12. Concentration lemma -- 13. Weak solution -- 14. Hyperparabolicity -- 15. Quantized blowup mechanism -- 16. Theory of dual variation.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential equations, Parabolic
موضوع مستند نشده
Differential equations, Partial
موضوع مستند نشده
Lattice dynamics
موضوع مستند نشده
Geometry, Differential
موضوع مستند نشده
Biomathematics
موضوع مستند نشده
Statistical mechanics
موضوع مستند نشده
Chemical kinetics
موضوع مستند نشده
Electronic books. , local
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )