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This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics, in particular for calculus of variations and fluid flows. These topics are now part of various areas of science and have experienced tremendous development during the last decades.
Table of Contents
Preface CALCULUS OF VARIATIONS Partial regularity in free discontinuity problems A duality proof of the Hille-Yosida theorem Ginzburg-Landau equations and Pohozaev identity Closure theorems in BV setting Shape continuity for Dirichlet-Neumann problems Multiple solutions for a class of eigenvalue problems in hemivariational inequalities Equivariant harmonic maps and pendulum-type equations Isoperimetric inequalities and calibrations On some non convex variational problems Binding of Schroedinger particles through conspiracy of potential wells in 4 The p-Laplace system involving measure data Nonlinear diffusion with absorption FLUID FLOWS Space-time integrated least-squares: a simple, stable and precise finite element scheme to solve advection equations as if they were elliptic On the uniqueness of the solution of the dam problem with leaky boundary conditions The Stokes system in 3D-Lipschitz domains: a survey of recent results Partial regularity and weighted energy estimates of global weak so lutions of the Navier-Stokes system Breaking the dimension of solitary waves Heat propagation in an inhomogeneous medium
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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