Mohamed Ben Ayed is Professor at the Université de Sfax, Tunisia. Mohamed Ali Jendoubi is Professor at the Université de Carthage, Tunisia. Yomna Rebai is Professor at the Ecole Polytechnique de Tunisie and at the Université de Carthage, Tunisia. Hasna Riahi is Assistant Professor at Ecole Nationale d'Ingénieurs de Tunis, Université Tunis El-Manar, Tunis, Tunisia. Hatem Zaag is a Senior Centre National de la Recherche Scientifique Researcher at Université de Paris XIII, France.

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• Preface Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rebai, Hassna Riahi and Hatem Zaag; Abbas Bahri: a dedicated life Mohamed Ben Ayed; 1. Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension Asma Azaiez, Nader Masmoudi and Hatem Zaag; 2. On the role of anisotropy in the weak stability of the Navier–Stokes system Hajer Bahouri, Jean-Yves Chemin and Isabelle Gallagher; 3. The motion law of fronts for scalar reaction-diffusion equations with multiple wells: the degenerate case Fabrice Bethuel and Didier Smets; 4. Finite-time blowup for some nonlinear complex Ginzburg–Landau equations Thierry Cazenave and Seifeddine Snoussi; 5. Asymptotic analysis for the Lane–Emden problem in dimension two Francesca de Marchis, Isabella Ianni and Filomena Pacella; 6. A data assimilation algorithm: the paradigm of the 3D Leray-α model of turbulence Aseel Farhat, Evelyn Lunasin and Edriss S. Titi; 7. Critical points at infinity methods in CR geometry Najoua Gamara; 8. Some simple problems for the next generations Alain Haraux; 9. Clustering phenomena for linear perturbation of the Yamabe equation Angela Pistoia and Giusi Vaira; 10. Towards better mathematical models for physics Luc Tartar.