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Monica Nonino ,
20192020 ,
On the application of the Reduced Basis Method to FluidStructure Interaction problems
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Related publication(s):
 An optimisationbased domaindecomposition reduced order model for the incompressible NavierStokes equations (2022)
 A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems (2021)
 A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems (2021)

Saddam Hijazi ,
20192020 ,
Reduced order methods for laminar and turbulent flows in a finite volume setting: projectionbased methods and datadriven techniques
Advisor(s):
Related publication(s):
 Datadriven PODGalerkin reduced order model for turbulent flows (2020)
 The Effort of Increasing Reynolds Number in ProjectionBased Reduced Order Methods: from Laminar to Turbulent Flows (2020)
 Nonintrusive Polynomial Chaos Method Applied to FullOrder and Reduced Problems in Computational Fluid Dynamics: A Comparison and Perspectives (2020)
 PODGalerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder (2017)

Alaa Aly Elsayed Aly Elshorbagy ,
20182019 ,
On the relaxed area of maps from the plane to itself taking three values
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Emanuele Tasso ,
20182019 ,
Some fine properties of SBV and SBD functions with applications to elastodynamics in domains with growing cracks
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Giovanni Alzetta ,
20182019 ,
Coupling methods for nonmatching meshes through distributed Lagrange multipliers
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Giulia Vescovo ,
20182019 ,
Regularity results for minimizers of a charged liquid drop model
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Maicol Caponi ,
20182019 ,
On some mathematical problems in fracture dynamics
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Related publication(s):
 An existence result for the fractional Kelvin–Voigt’s model on timedependent cracked domains (2021)
 Existence of solutions to a phase–field model of dynamic fracture with a crack–dependent dissipation (2020)
 Energydissipation balance of a smooth moving crack (2020)
 A dynamic model for viscoelastic materials with prescribed growing cracks (2020)
 Linear Hyperbolic Systems in Domains with Growing Cracks (2017)
 Matteo Gallone , 20182019 , Selfadjointness of Quantum Hamiltonians with Symmetries

Noe Angelo Caruso ,
20182019 ,
On Krylov Methods in Infinitedimensional Hilbert Space
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Ornela Mulita ,
20182019 ,
Smoothed Adaptive Finite Element Methods
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Zakia Zainib ,
20182019 ,
Reduced order parameterized viscous optimal flow control problems and applications in coronary artery bypass grafts with patientspecific geometrical reconstruction and data assimilation
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Related publication(s):
 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)
 Reduced order methods for parametric optimal flow control in coronary bypass grafts, toward patientspecific data assimilation (2020)

Danka Lučić ,
20172018 ,
Dimension reduction problems in the modelling of hydrogel thin films
Advisor(s):
Related publication(s):
 The Serre–Swan theorem for normed modules (2019)
 Heterogeneous elastic plates with inplane modulation of the target curvature and applications to thin gel sheets (2018)
 Dimension reduction for thin films with transversally varying prestrain: the oscillatory and the nonoscillatory case (2018)
 Foldable structures made of hydrogel bilayers (2018)

Enrico Pasqualetto ,
20172018 ,
Structural and geometric properties of RCD spaces
Advisor(s):
Related publication(s):
 Parallel transport on noncollapsed $\mathsfRCD(K,N)$ spaces (2021)
 On master test plans for the space of BV functions (2021)
 The Serre–Swan theorem for normed modules (2019)
 Differential structure associated to axiomatic Sobolev spaces (2019)
 Quasicontinuous vector fields on RCD spaces (2019)
 On the notion of parallel transport on RCD spaces (2018)
 Differential of metric valued Sobolev maps (2018)
 Behaviour of the reference measure on RCD spaces under charts (2016)
 Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces (2016)

Felice Iandoli ,
20172018 ,
Local and almost global solutions for fully nonlinear Schrödinger equations on the circle
Advisor(s):
Related publication(s):
 Longtime stability of the quantum hydrodynamic system on irrational tori (2022)
 Local wellposedness for quasilinear NLS with large Cauchy data on the circle (2019)
 Long time existence for fully nonlinear NLS with small Cauchy data on the circle (2018)
 Dispersive Estimates for Schrödinger Operators with Point Interactions in ℝ3 (2017)

Giuseppe Pitton ,
20172018 ,
Numerical study of dispersive shock waves in the KPI equation
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Ivan Beschastnyi ,
20172018 ,
Jacobi Fields in Optimal Control
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Raffaele Scandone ,
20172018 ,
Nonlinear Schrödinger equations with singular perturbations and with rough magnetic potentials
Related publication(s):
 PointLike Perturbed Fractional Laplacians Through Shrinking Potentials of Finite Range (2019)
 Zero modes and lowenergy resolvent expansion for three dimensional Schrodinger operators with point interactions (2019)
 Singular Hartree equation in fractional perturbed Sobolev spaces (2018)
 LpBoundedness of Wave Operators for the ThreeDimensional MultiCentre Point Interaction (2018)
 On fractional powers of singular perturbations of the Laplacian (2018)
 Global, finite energy, weak solutions for the NLS with rough, timedependent magnetic potentials (2018)
 Fractional powers and singular perturbations of quantum differential Hamiltonians (2018)
 On real resonances for the threedimensional, multicentre point interaction (2018)
 Dispersive Estimates for Schrödinger Operators with Point Interactions in ℝ3 (2017)

Shafqat Ali ,
20172018 ,
Stabilized reduced basis methods for the approximation of parametrized viscous flows
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Carolina Biolo ,
20162017 ,
Switching in timeoptimal problem
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Chiara Rigoni ,
20162017 ,
Cohomology and other analytical aspects of RCD spaces
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Elio Marconi ,
20162017 ,
Structure and regularity of solutions to nonlinear scalar conservation laws
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Related publication(s):
 Regularity estimates for scalar conservation laws in one space dimension (2018)
 A Lagrangian approach for scalar multid conservation laws (2017)
 Lagrangian representations for linear and nonlinear transport (2017)
 On the structure of $L^\infty$entropy solutions to scalar conservation laws in onespace dimension (2016)
 On the concentration of entropy for scalar conservation laws (2016)

Filippo Giuliani ,
20162017 ,
KAM for quasilinear PDE's
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Lorenzo Nardini ,
20162017 ,
A mathematical analysis of a one dimensional model for dynamic debonding
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Related publication(s):
 Existence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping (2018)
 On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One (2018)
 Analysis of a Dynamic Peeling Test with SpeedDependent Toughness (2018)
 On the 1D wave equation in timedependent domains and the problem of debond initiation (2017)
 A Note on the Convergence of Singularly Perturbed Second Order PotentialType Equations (2017)
 Existence and uniqueness of dynamic evolutions for a peeling test in dimension one (2016)

Luca Tamanini ,
20162017 ,
Analysis and geometry of RCD spaces via the Schrödinger problem
Advisor(s):Christian Léonard
Related publication(s):
 Benamou–Brenier and duality formulas for the entropic cost on RCD*(K,N) spaces (2019)
 An entropic interpolation proof of the HWI inequality (2019)
 Second order differentiation formula on RCD(K, N) spaces (2018)
 Second order differentiation formula on RCD*(K,N) spaces (2018)
 Second order differentiation formula on compact RCD*(K,N) spaces (2017)

Nicola Giuliani ,
20162017 ,
Modelling Fluid Structure Interaction problems using Boundary Element Method
Advisor(s):
Related publication(s):
 BlackNUFFT: Modular customizable black box hybrid parallelization of type 3 NUFFT in 3D (2019)
 πBEM : A flexible parallel implementation for adaptive , geometry aware , and high order boundary element methods (2018)
 Predicting and Optimizing Microswimmer Performance from the Hydrodynamics of Its Components: The Relevance of Interactions (2018)
 deal2lkit: A toolkit library for high performance programming in deal.II (2018)
 FEM SUPG stabilisation of mixed isoparametric BEMs: application to linearised free surface flows (2015)

Paolo Bonicatto ,
20162017 ,
Untangling of trajectories for nonsmooth vector fields and Bressan's Compactness Conjecture
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Related publication(s):
 Failure of the Chain Rule in the Non Steady TwoDimensional Setting (2018)
 On Uniqueness of Weak Solutions to Transport Equation with Nonsmooth Velocity Field (2018)
 A uniqueness result for the decomposition of vector fields in Rd (2017)
 A Lagrangian approach for scalar multid conservation laws (2017)
 Lagrangian representations for linear and nonlinear transport (2017)
 Renormalization for Autonomous Nearly Incompressible BV Vector Fields in Two Dimensions (2016)

Shokhrukh Kholmatov ,
20162017 ,
Minimizing movements for mean curvature evolutions of droplets and partitions
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Francesco Boarotto ,
20152016 ,
Topics in subRiemannian geometry
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Gianluca Orlando ,
20152016 ,
Some results on cohesive energies: approximation, lower semicontinuity and quasistatic evolution
Advisor(s):
Related publication(s):
 Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue (2018)
 Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation (2017)
 Fracture models for elastoplastic materials as limits of gradient damage models coupled with plasticity: the antiplane case (2016)
 Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length (2014)

Guglielmo Feltrin ,
20152016 ,
Positive solutions to indefinite problems: a topological approach
Advisor(s):
Related publication(s):
 Positive solutions for supersublinear indefinite problems: high multiplicity results via coincidence degree (2018)
 Positive subharmonic solutions to nonlinear ODEs with indefinite weight (2018)
 A note on a fixed point theorem on topological cylinders (2017)
 Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree (2017)
 Multiple positive solutions of a sturmliouville boundary value problem with conflicting nonlinearities (2017)
 An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators (2017)
 Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the supersublinear case (2016)
 Multiple positive solutions for a superlinear problem: a topological approach (2015)
 Existence of positive solutions in the superlinear case via coincidence degree: the Neumann and the periodic boundary value problems (2015)
 Existence of positive solutions of a superlinear boundary value problem with indefinite weight (2015)