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Nonlinear Partial Differential Equations
2004In the previous chapters, we discussed the solution of linear partial differential equations. Special focus was given to the solution of internal heat transfer problems in duct flows. However, in most technical applications, problems are often described by nonlinear partial differential equations.
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Critical Nonlinearities in Partial Differential Equations
Milan Journal of Mathematics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ON HOMOGENEOUS SPACES
International Journal of Modern Physics A, 1990The work of A.K.N.S. which is based on the sl(2, R) valued soliton connection is extended to obtain new integrable coupled nonlinear partial differential equations. This is achieved by assuming the soliton connection having values in a simple Lie, Kac-Moody, Lie superalgebras.
GURSES, M, OGUZ, O, SALIHOGLU, S
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CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
Mathematical Models and Methods in Applied Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BELLOMO, Nicola, Málek J.
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Generalized symmetries of nonlinear partial differential equations
Letters in Mathematical Physics, 1979We propose a rigorous definition of the generalized infinitesimal symmetries using the notion of k-vector fields, and we derive an algorithm for their determination. We show that Backlund transformations between evolution equations are differential operators having prescribed symmetries.
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Nonlinear Elliptic Partial Differential Equations
2017In Chap. 5, we explained how to apply the finite element method to nonlinear ordinary differential equations. We saw that calculating the finite element solution of nonlinear differential equations required us to solve a nonlinear system of algebraic equations and discussed how these algebraic equations could be solved.
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Nonlinear partial differential equations
Journal of the Franklin Institute, 1969M.J. Moran, T.J. Higgins
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Nonlinear partial differential equations in differential geometry
1995This is a survey of recent developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are alos leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background ...
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