This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …

We are concerned with Γ-convergence of gradient flows, which is a notion meant to ensure
that if a family of energy functionals depending of a parameter Γ-converges, then the …

In these notes we discuss general approaches for rigorously deriving limits of generalized
gradient flows. Our point of view is that a generalized gradient system is defined in terms of …

This chapter reviews mathematical approaches to inelastic processes on the surfaces of
elastic bodies. We mostly consider a quasistatic and rateindependent evolution at small …

Within the framework of Kirchhoff–Love plate theory, we analyze a variational model for
elastic plates with rigid inclusions and interfacial cracks. The main feature of the model is a …

Based on recent research by the author and his graduate students, this text describes novel
variational formulations and resolutions of a large class of partial differential equations and …

This paper discusses an existence result for energetic solutions of rate‐independent
damage processes and the temporal regularity of the solution. The authors consider a body …

We provide a global existence result for the time-continuous elastoplasticity problem using
the energetic formulation. For this, we show that the geometric nonlinearities arising from the …

This work is concerned with the reformulation of evolutionary problems in a weak form
enabling consideration of solutions that may exhibit evolving microstructures. This …

In these notes we want to give an overview of the recently developed theory for rate-
independent systems. Such systems are used to model hysteresis, dry friction …