Results 81 to 90 of about 35,710 (245)
Linear Parabolic Problems in Random Moving Domains
, 2018 We consider linear parabolic equations on a random non-cylindrical domain. Utilizing the domain mapping method, we write the problem as a partial differential equation with random coefficients on a cylindrical deterministic domain.
Djurdjevac, Ana
core +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Collage-type approach to inverse problems for elliptic PDEs on perforated domains
Electronic Journal of Differential Equations, 2015 We present a collage-based method for solving inverse problems for elliptic partial differential equations on a perforated domain. The main results of this paper establish a link between the solution of an inverse problem on a perforated domain and ...
Herb E. Kunze, Davide La Torre
doaj
Backstepping Control of the One-Phase Stefan Problem
, 2016 In this paper, a backstepping control of the one-phase Stefan Problem, which is a 1-D diffusion Partial Differential Equation (PDE) defined on a time varying spatial domain described by an ordinary differential equation (ODE), is studied. A new nonlinear
Diagne, Mamadou +3 more
core +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, EarlyView.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
A General Method for the Solution of Inverse Problems in Transport Phenomena
Chemical Engineering Transactions, 2015 The typical inverse problems in transport phenomena are given by partial differential equations with unknown boundary conditions, which are to be estimated from measurements corresponding to solutions of the PDEs or of their gradients.
M. Vocciante, A. Reverberi, V. Dovi
doaj +1 more source
Accelerated Variational PDEs for Efficient Solution of Regularized Inversion Problems
Journal of Mathematical Imaging and Vision, 2019 We further develop a new framework, called PDE acceleration, by applying it to calculus of variation problems defined for general functions on ℝ n , obtaining efficient numerical algorithms to solve the resulting class of optimization problems based on simple discretizations of their corresponding accelerated PDEs. While the resulting family of PDEs
Jeff Calder +3 more
openaire +4 more sources
Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, EarlyView.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
Partial Differential Equations in Applied MathematicsThis article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and ...
Dania Santina +4 more
doaj +1 more source
A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2018 This paper is dedicated to a new way of presenting the Tikhonov regularization in the form of a mixed formulation. Such formulation is well adapted to the regularization of linear ill-posed partial differential equations because when it comes to discretization, the mixed formulation enables us to use some standard finite elements.
Bourgeois, Laurent, Recoquillay, Arnaud
openaire +2 more sources