A First Course in Partial Differential Equations (Dover Books on Mathematics)
by H F Weinberger
Partial Differential Equations and Boundary Value Problems with Fourier Series
by Nakhle H Asmar
For introductory courses in Partial Differential Equations (PDEs) taken by majors in engineering, physics, and mathematics. This example-rich text fosters a smooth transition from elementary ordinary differential equations courses to more advanced concepts in a first course on PDEs. Asmar's relaxed style and emphasis on applications make the material accessible even to students with limited exposure to topics beyond calculus. Computer use is encouraged for illustrating results and applications...
Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations
by Owe Axelsson
Studies in Complex Analysis and Its Applications to Partial Differential Equations
by R. Kuhnau and W Tutschke
The Mathematics of Shock Reflection-Diffraction and Von Neumann's Conjectures (Annals of Mathematics Studies, #197)
by Gui-Qiang Chen and Mikhail Feldman
This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in...
Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time (Annals of Mathematics Studies)
by Philip Isett
Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Holder. In this book, Philip Isett uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in...
Order Structure and Topological Methods in Nonlinear Partial Differential Equations, Vol. 1
by Yihong Du
Recent Topics in Nonlinear Pde (North-Holland Mathematics Studies; Lecture Notes in Numerica) (North-Holland Mathematics Studies)
Introduction to Applied Partial Differential Equations
by University John M Davis
Nonlinear Partial Differential Equations for Scientists and Engineers
by L. Debnath
This book presents a comprehensive and systematic treatment of nonlinear partial differential equations and their varied applications. It contains methods and properties of solutions along with their physical significance. In an effort to make the book useful for a diverse readership, modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Dif...
This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations. It provides explicit solutions of linear and nonlinear differential equations and implicit solutions with discrete approximations. Differential equations that could not be explicitly solved are discussed with special functions such as Bessel functions. New functions are defined from differential equations. Laguerre, Hermite and Legendre orthonormal polynomials as...
Be Fucking Awesome - 2020 One Year Weekly Planner (2020 One Year Simple Planner Organizer, #1) (Fucking Awesome 8x10 Planners, #1)
by New Nomads Press
A systematic presentation of the global classical solution and the global classical discontinuous solution to quasilinear hyperbolic systems. This book is a result of the author's research on the Cauchy problem, boundary value problems, free boundary problems and the generalised Riemann problem.
Partial Differential Equations: Theory and Completely Solved Problems
by Thomas Hillen, I Ed Leonard, and Henry Van Roessel
Fractional Calculus: Models And Numerical Methods (Series on Complexity, Nonlinearity, and Chaos, #5)
by Dumitru Baleanu, Kai Diethelm, Enrico Scalas, and Juan J Trujillo
The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and...
Partial Differential Equations and Related Subjects (pitman research notes in Mathematics, No 269)
by Mario Miranda
From the reviews: "This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student." --New Zealand Mathematical Society, 1985
This manuscript is devoted to a rigorous and detailed exposition of the spectral theory and associated forward and inverse scattering problems for the Laplace-Beltrami operators on asymptotically hyperbolic manifolds. Based upon the classical stationary scattering theory in n, the key point of the approach is the generalized Fourier transform, which serves as the basic tool to introduce and analyse the time-dependent wave operators and the S-matrix. The crucial role is played by the characteri...
This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value...
This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro, Italy in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.
Elements of Soliton Theory (Pure & Applied Mathematics S.)
by George L. Lamb