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The paper proposes a general framework to analyze control problems for conservation law models on a network. Namely we consider a general class of junction distribution controls and inflow controls and we establish the compactness in $L^1$…

Analysis of PDEs · Mathematics 2018-07-24 Fabio Ancona , Annalisa Cesaroni , Giuseppe Maria Coclite , Mauro Garavello

Topology optimization is concerned with the identification of optimal shapes of deformable bodies with respect to given target functionals. The focus of this paper is on a topology optimization problem for a time-evolving elastoplastic…

Analysis of PDEs · Mathematics 2021-06-21 Stefano Almi , Ulisse Stefanelli

In the setting of symplectic manifolds which are convex at infinity, we use a version of the Aleksandrov maximum principle to derive uniform estimates for Floer solutions that are valid for a wider class of Hamiltonians and almost complex…

Symplectic Geometry · Mathematics 2017-06-14 Will J. Merry , Igor Uljarevic

A general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations. The…

Optics · Physics 2021-06-23 M. Gustafsson , K. Schab , L. Jelinek , M. Capek

We consider impulsive semiflows defined on compact metric spaces and give sufficient conditions, both on the semiflows and the potentials, for the existence and uniqueness of equilibrium states. We also generalize the classical notion of…

Dynamical Systems · Mathematics 2015-11-30 Jose F. Alves , Maria Carvalho , Jaqueline Siqueira

When considering a general system of equations describing the space-time evolution (flow) of one or several variables, the problem of the optimization over a finite period of time of a measure of the state variable at the final time is a…

Fluid Dynamics · Physics 2015-06-04 D. P. G. Foures , C. P. Caulfield , P. J. Schmid

A large deviation principle is established for a general class of stochastic flows in the small noise limit. This result is then applied to a Bayesian formulation of an image matching problem, and an approximate maximum likelihood property…

Statistics Theory · Mathematics 2010-02-24 Amarjit Budhiraja , Paul Dupuis , Vasileios Maroulas

A new optimization framework to design steady equilibrium solutions of the Vlasov-Poisson system by means of external electric fields is presented. This optimization framework requires the minimization of an ensemble functional with…

Optimization and Control · Mathematics 2024-07-24 Alfio Borzì , Gennaro Infante , Giovanni Mascali

Maximum likelihood estimation in statistics leads to the problem of maximizing a product of powers of polynomials. We study the algebraic degree of the critical equations of this optimization problem. This degree is related to the number of…

Algebraic Geometry · Mathematics 2007-06-13 Fabrizio Catanese , Serkan Hosten , Amit Khetan , Bernd Sturmfels

This article investigates an energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well-posed both in the…

Analysis of PDEs · Mathematics 2025-10-29 Gianmarco Del Sarto , Matthias Hieber , Tarek Zöchling

Max-stable random fields play a central role in modeling extreme value phenomena. We obtain an explicit formula for the conditional probability in general max-linear models, which include a large class of max-stable random fields. As a…

Computation · Statistics 2010-11-29 Yizao Wang , Stilian A. Stoev

We consider the compressible Navier-Stokes system in three dimensions with general inflow-outflow boundary conditions, meaning that we prescribe a boundary velocity which has non-zero normal component and accordingly the density is…

Analysis of PDEs · Mathematics 2025-12-09 Anna Abbatiello , Mostafa Meliani

A method to bound the maximum energy perturbation for which regional stability of transitional fluid flow models can be guaranteed is introduced. The proposed method exploits the fact that the fluid model's nonlinearities are both lossless…

Fluid Dynamics · Physics 2021-10-19 Leonardo F. Toso , Ross Drummond , Stephen R. Duncan

We define new geometric constants for normed planes, determine their optimal values, and characterize types of planes for which these optimal values are attained. Relations of these constants to several topics, such as areas and distances…

Metric Geometry · Mathematics 2018-01-01 Vitor Balestro , Horst Martini , Ralph Teixeira

A global equilibrium state of a spin polarized fluid that undergoes constant acceleration along the stream lines is described as a solution of recently introduced perfect-fluid hydrodynamic equations with spin 1/2.

Nuclear Theory · Physics 2018-08-15 Wojciech Florkowski , Enrico Speranza , Francesco Becattini

Maximum entropy modeling is a flexible and popular framework for formulating statistical models given partial knowledge. In this paper, rather than the traditional method of optimizing over the continuous density directly, we learn a smooth…

Methodology · Statistics 2017-05-01 Gabriel Loaiza-Ganem , Yuanjun Gao , John P. Cunningham

Statistical properties of a local fluctuational fluxes measured at the plasma edge are investigated in the work. It's shown that the amplitudes increments of the local fluctuational fluxes decrease by power law. For approximation of…

Plasma Physics · Physics 2012-09-12 Viacheslav Saenko

This paper provides a relaxation of the sufficient conditions, and also an extension of the structural results for Partially Observed Markov Decision Processes (POMDPs) given in Lovejoy (1987). Sufficient conditions are provided so that the…

Optimization and Control · Mathematics 2015-11-17 Vikram Krishnamurthy , Udit Pareek

An approximate analytical solution of the boundary slip problem in magnetic field is obtained by using the general form of boundary conditions for the distribution function of fermions with the isotropic energy spectrum. Exact numerical…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 O. E. Raichev

We consider a new type of optimal stopping problems where the absorbing boundary moves as the state process X attains new maxima S. More specifically, we set the absorbing boundary as S-b where b is a certain constant. This problem is…

Probability · Mathematics 2015-04-15 Masahiko Egami , Tadao Oryu