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Davide Manini ,
20222023 ,
Isoperimetric inequalities in noncompact spaces
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Francesco Romor ,
20222023 ,
Nonlinear Parameter Space and Model Order Reductions enhanced by scientific machine learning
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Related publication(s):
 Kernelbased active subspaces with application to computational fluid dynamics parametric problems using discontinuous Galerkin method (2022)
 ATHENA: Advanced Techniques for High dimensional parameter spaces to Enhance Numerical Analysis (2021)
 Multifidelity data fusion for the approximation of scalar functions with low intrinsic dimensionality through active subspaces (2021)
 A local approach to parameter space reduction for regression and classification tasks (2021)
 Multifidelity data fusion through parameter space reduction with applications to automotive engineering (2021)
 Kernelbased Active Subspaces with application to CFD parametric problems using Discontinuous Galerkin method (2020)

Martina Zizza ,
20222023 ,
Some results on mixing flows and on the blocking fire problem
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Nicholas Rungi ,
20222023 ,
PseudoKähler geometry of Hitchin representations and convex projective structures
Andrea Tamburelli

Paolo Ventura ,
20222023 ,
BenjaminFeir instability in Stokes waves
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Related publication(s):
 BenjaminFeir Instability of Stokes Waves in Finite Depth (2023)
 Stokes waves at the critical depth are modulational unstable (2023)
 Full description of BenjaminFeir instability of stokes waves in deep water (2022)
 On the analyticity of the DirichletNeumann operator and Stokes waves (2022)
 BenjaminFeir instability of Stokes waves (2022)

Simone Carano ,
20222023 ,
Area functional and relaxation: an approach in dimension 2 and codimension 2 via strict BVconvergence
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Alessandro Scagliotti ,
20212022 ,
Ensembles of affinecontrol systems with applications to Deep Learning
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Dario Andrini ,
20212022 ,
Transient morphing and optimal shape design of synthetic and natural active structures
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Federico Cianci ,
20212022 ,
On some viscoelastic problems with memory in timedependent domains
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Federico Murgante ,
20212022 ,
Hamiltonian PDEs in fluid dynamics: local and long time existence results
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Laura Meneghetti ,
20212022 ,
A Reduced Order Approach for Artificial Neural Networks applied to Object Recognition
Advisor(s):Industrial Advisor: Daniele Turrin

Luigi De Masi ,
20212022 ,
Existence and properties of minimal surfaces and varifolds with contact angle conditions
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Muhammad Mubarak ,
20212022 ,
Doubly Intermittent Maps with Critical Points and Singularities
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Nirav Vasant Shah ,
20212022 ,
Coupled parameterized reduced order modelling of thermomechanical phenomena arising in blast furnaces
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Sara Farinelli ,
20212022 ,
L^1optimal transport and functional inequalities in spaces with curvature dimension condition
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Stefano Baranzini ,
20212022
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Emanuele Caputo ,
20202021 ,
Existence and uniqueness of parallel transport on noncollapsed RCD(K,N) spaces
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Francesco Nobili ,
20202021 ,
Geometric and analytic properties of metric measure spaces through Sobolev calculus
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Related publication(s):
 Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds (2021)
 A Differential Perspective on Gradient Flows on CAT(K)Spaces and Applications (2021)
 On master test plans for the space of BV functions (2021)
 A firstorder condition for the independence on p of weak gradients (2021)

Francesco Sapio ,
20202021 ,
Dynamical models for viscoelastic materials in domains with a growing crack
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Related publication(s):
 An existence result for the fractional Kelvin–Voigt’s model on timedependent cracked domains (2021)
 A dynamic model for viscoelasticity in domains with timedependent cracks (2021)
 Quasistatic Limit of a Dynamic Viscoelastic Model with Memory (2021)
 A dynamic model for viscoelastic materials with prescribed growing cracks (2020)

Giuliano Klun ,
20202021 ,
Topological methods for the search of solutions of nonlinear equations. From planar systems to ordinary and partial differential equations
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Related publication(s):
 WellOrdered and NonWellOrdered Lower and Upper Solutions for Periodic Planar Systems (2021)
 Periodic Solutions of SecondOrder Differential Equations in Hilbert Spaces (2021)
 Nonwellordered lower and upper solutions for semilinear systems of PDEs (2021)
 On Dini derivatives of real functions (2021)
 On functions having coincident pnorms (2020)
 Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinitedimensional tori (2020)
 On the topological degree of planar maps avoiding normal cones (2019)

Ivan Yuri Violo ,
20202021 ,
Functional and geometric rigidities of RCD spaces and biLipschitz Reifenberg's theorem in metric spaces
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Marco Tezzele ,
20202021 ,
Datadriven parameter and model order reduction for industrial optimisation problems with applications in naval engineering
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Related publication(s):
 Kernelbased active subspaces with application to computational fluid dynamics parametric problems using discontinuous Galerkin method (2022)
 A supervised learning approach involving active subspaces for an efficient genetic algorithm in highdimensional optimization problems (2021)
 On the comparison of LES datadriven reduced order approaches for hydroacoustic analysis (2021)
 Hull Shape Design Optimization with Parameter Space and Model Reductions, and SelfLearning Mesh Morphing (2021)
 ATHENA: Advanced Techniques for High dimensional parameter spaces to Enhance Numerical Analysis (2021)
 Multifidelity data fusion for the approximation of scalar functions with low intrinsic dimensionality through active subspaces (2021)
 A local approach to parameter space reduction for regression and classification tasks (2021)
 Multifidelity data fusion through parameter space reduction with applications to automotive engineering (2021)
 Enhancing CFD predictions in shape design problems by model and parameter space reduction (2020)
 Reduced order isogeometric analysis approach for pdes in parametrized domains (2020)
 Advances in reduced order methods for parametric industrial problems in computational fluid dynamics (2020)
 Basic ideas and tools for projectionbased model reduction of parametric partial differential equations (2020)
 Kernelbased Active Subspaces with application to CFD parametric problems using Discontinuous Galerkin method (2020)
 A nonintrusive approach for the reconstruction of POD modal coefficients through active subspaces (2019)

Maria Strazzullo ,
20202021 ,
Model Order Reduction for Nonlinear and TimeDependent Parametric Optimal Flow Control Problems
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Related publication(s):
 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction (2022)
 Reduced Order Methods for Parametrized Nonlinear and Time Dependent Optimal Flow Control Problems, Towards Applications in Biomedical and Environmental Sciences (2021)
 Reduced Order Methods for Parametrized Nonlinear and Time Dependent Optimal Flow Control Problems, Towards Applications in Biomedical and Environmental Sciences (2021)
 A weighted PODreduction approach for parametrized PDEconstrained optimal control problems with random inputs and applications to environmental sciences (2021)
 A CERTIFIED REDUCED BASIS Method FOR LINEAR PARAMETRIZED PARABOLIC OPTIMAL CONTROL PROBLEMS IN SPACETIME FORMULATION (2021)
 AN EXTENDED PHYSICS INFORMED NEURAL NETWORK FOR PRELIMINARY ANALYSIS OF PARAMETRIC OPTIMAL CONTROL PROBLEMS (2021)
 Consistency of the full and reduced order models for EvolveFilterRelax Regularization of ConvectionDominated, MarginallyResolved Flows (2021)
 PODGalerkin Model Order Reduction for Parametrized Nonlinear Time Dependent Optimal Flow Control: an Application to Shallow Water Equations (2020)

Matteo Zancanaro ,
20202021 ,
Model order reduction for compressible turbulent flows: hybrid approaches in physics and geometry parametrization
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Tommaso Rossi ,
20202021 ,
Heat content asymptotics in subRiemannian geometry
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Carlo Scarpa ,
2020 ,
The HitchincscK system: an infinitedimensional hyperkähler reduction
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Nadir Fasola ,
2020 ,
Generalised instanton counting in two, three and four complex dimensions
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Boris Stupovski ,
20192020 ,
Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5manifolds
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Daniele Agostinelli ,
20192020 ,
Mathematical models for biological motility: From peristaltic crawling to plant nutations
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Related publication(s):
 Nutations in growing plant shoots as a morphoelastic flutter instability (2021)
 Nutations in plant shoots: Endogenous and exogenous factors in the presence of mechanical deformations (2021)
 MicroMotility: State of the art, recent accomplishments and perspectives on the mathematical modeling of biomotility at microscopic scales (2020)
 Nutations in growing plant shoots: The role of elastic deformations due to gravity loading (2019)
 Peristaltic Waves as Optimal Gaits in Metameric BioInspired Robots (2018)

Ekaterina Mukoseeva ,
20192020 ,
Second variation techniques for stability in geometric inequalities
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