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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):
 Quasicontinuous vector fields on RCD spaces (2019)
 The Serre–Swan theorem for normed modules (2019)
 Differential structure associated to axiomatic Sobolev spaces (2019)
 Differential of metric valued Sobolev maps (2018)
 On the notion of parallel transport on RCD spaces (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):

Giuseppe Pitton ,
20172018 ,
Numerical study of dispersive shock waves in the KPI equation
Advisor(s):
Related publication(s):

Ivan Beschastnyi ,
20172018 ,
Jacobi Fields in Optimal Control
Advisor(s):

Raffaele Scandone ,
20172018 ,
Nonlinear Schrödinger equations with singular perturbations and with rough magnetic potentials
Advisor(s):
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)
 Fractional powers and singular perturbations of quantum differential Hamiltonians (2018)
 On real resonances for the threedimensional, multicentre point interaction (2018)
 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)
 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
Advisor(s):

Carolina Biolo ,
20162017 ,
Switching in timeoptimal problem
Advisor(s):

Chiara Rigoni ,
20162017 ,
Cohomology and other analytical aspects of RCD spaces
Advisor(s):
Related publication(s):

Elio Marconi ,
20162017 ,
Structure and regularity of solutions to nonlinear scalar conservation laws
Advisor(s):
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
Advisor(s):

Lorenzo Nardini ,
20162017 ,
A mathematical analysis of a one dimensional model for dynamic debonding
Advisor(s):
Related publication(s):
 Analysis of a Dynamic Peeling Test with SpeedDependent Toughness (2018)
 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)
 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
Advisor(s):
Related publication(s):
 On Uniqueness of Weak Solutions to Transport Equation with Nonsmooth Velocity Field (2018)
 Failure of the Chain Rule in the Non Steady TwoDimensional Setting (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
Advisor(s):

Francesco Boarotto ,
20152016 ,
Topics in subRiemannian geometry
Advisor(s):

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 subharmonic solutions to nonlinear ODEs with indefinite weight (2018)
 Positive solutions for supersublinear indefinite problems: high multiplicity results via coincidence degree (2018)
 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)
 A note on a fixed point theorem on topological cylinders (2017)
 Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the supersublinear case (2016)
 Existence of positive solutions of a superlinear boundary value problem with indefinite weight (2015)
 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)

Khadim Mbacke War ,
20152016 ,
Integrability of continuous bundles and applications to dynamical systems
Advisor(s):

Matteo Rizzi ,
20152016 ,
Qualitative properties and construction of solutions to some semilinear elliptic PDEs
Advisor(s):

Paolo Gidoni ,
20152016 ,
Two explorations in dynamical systems and mechanics: avoiding cones conditions and higher dimensional twist  directional friction in bioinspired locomotion
Advisor(s):
Related publication(s):
 On the genesis of directional friction through bristlelike mediating elements (2017)
 Stasis domains and slip surfaces in the locomotion of a bioinspired twosegment crawler (2017)
 An avoiding cones condition for the Poincaré–Birkhoff Theorem (2017)
 Periodic perturbations of Hamiltonian systems (2016)
 Generalizing the Poincaré–Miranda theorem: the avoiding cones condition (2016)
 Liquid crystal elastomer strips as soft crawlers (2015)
 A permanence theorem for local dynamical systems (2015)
 Crawling on directional surfaces (2014)

Stefano Almi ,
20152016 ,
Some results on the mathematical analysis of crack problems with forces applied on the fracture lips
Advisor(s):
Related publication(s):
 A lower semicontinuity result for a free discontinuity functional with a boundary term (2017)
 Energy release rate and quasistatic evolution via vanishing viscosity in a fracture model depending on the crack opening (2017)
 Quasistatic hydraulic crack growth driven by Darcy's law (2016)
 Quasistatic crack growth in hydraulic fracture (2014)

Vito Crismale ,
20152016 ,
Some results on quasistatic evolution problems for unidirectional processes
Advisor(s):
Related publication(s):
 Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue (2018)
 Quasistatic crack growth based on viscous approximation: a model with branching and kinking (2017)
 Globally stable quasistatic evolution for strain gradient plasticity coupled with damage (2017)
 Viscous approximation of quasistatic evolutions for a coupled elastoplasticdamage model (2016)
 Globally stable quasistatic evolution for a coupled elastoplastic–damage model (2016)

Aleks Jevnikar ,
20142015 ,
Variational aspects of Liouville equations and systems
Advisor(s):
Related publication(s):
 New existence results for the mean field equation on compact surfaces via degree theory (2016)
 A note on a multiplicity result for the mean field equation on compact surfaces (2016)
 A general existence result for the Toda system on compact surfaces (2015)
 A topological join construction and the Toda system on compact surfaces of arbitrary genus (2015)
 An existence result for the meanfield equation on compact surfaces in a doubly supercritical regime (2013)

Elisa Paoli ,
20142015 ,
Volume variation and heat kernel for affine control problems
Advisor(s):
Related publication(s):

Gabriele Mancini ,
20142015 ,
Sharp Inequalities and Blowup Analysis for Singular MoserTrudinger Embeddings
Advisor(s):

Giancarlo Cicconofri ,
20142015 ,
Mathematical Models of Locomotion: Legged Crawling, Snakelike Motility, and Flagellar Swimming
Advisor(s):

Luca Battaglia ,
20142015 ,
Variational aspects of singular Liouville systems
Advisor(s):
Related publication(s):
 Existence and nonexistence results for the SU(3) singular Toda system on compact surfaces (2016)
 Moser–Trudinger inequalities for singular Liouville systems (2016)
 A note on compactness properties of the singular Toda system (2015)
 A general existence result for the Toda system on compact surfaces (2015)
 Existence and multiplicity result for the singular Toda system (2015)
 A MoserTrudinger inequality for the singular Toda system (2014)
 Remarks on the Moser–Trudinger inequality (2013)

Lucia Tealdi ,
20142015 ,
The relaxed area of maps from the plane to the plane with a line discontinuity, and the role of semicartesian surfaces
Advisor(s):
Related publication(s):
 On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity (2016)
 Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity (2015)
 Anisotropic mean curvature on facets and relations with capillarity (2015)
 Results on the minimization of the Dirichlet functional among semicartesian parametrizations (2015)