# Evolutionary $\Gamma$-convergence of weak-type

## TL;DR

This paper introduces a new concept of evolutionary onvergence for operators on time-dependent functions, extending classical onvergence, and proves compactness results with applications to quasilinear flows.

## Contribution

It extends classical onvergence to a time-dependent setting and establishes compactness and stability results for quasilinear flows involving pseudo-monotone operators.

## Key findings

- Proves ompactness of equi-coercive sequences
- Introduces evolutionary onvergence of weak type
- Applies results to quasilinear flow stability

## Abstract

A notion of evolutionary $\Gamma$-convergence of weak type is introduced for sequences of operators acting on time-dependent functions. This extends the classical definition of $\Gamma$-convergence of functionals due to De Giorgi. The $\Gamma$-compactness of equi-coercive and equi-bounded sequences of operators is proved. Applications include the structural compactness and stability of quasilinear flows for pseudo-monotone operators.