Existence Theory of Nonlinear Dissipative Dynamics

  • Viorel BarbuEmail author
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter we present several applications of general theory to nonlinear dynamics governed by partial differential equations of dissipative type illustrating the ideas and general existence theory developed in the previous section. Most of significant dynamics described by partial differential equations can be written in the abstract form (4.1) with appropriate quasi-m-accretive operator A and Banach space X. The boundary value conditions are incorporated in the domain of A. The whole strategy is to find the appropriate operator A and to prove that it is quasi-m-accretive. The main emphasis here is on parabolic-like boundary value problems and the nonlinear hyperbolic equations although the area of problems covered by general theory is much larger.


Variational Inequality Maximal Monotone Free Boundary Problem Entropy Solution Stefan Problem 
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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Fac. MathematicsAl. I. Cuza UniversityIasiRomania

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