Results 81 to 90 of about 661,238 (311)
On the viscosity solutions of a stochastic differential utility problem [PDF]
We prove existence, uniqueness and gradient estimates of stochastic differential utility as a solution of the Cauchy problem for degenerate nonlinear partial differential equation.
Andrea Pascucci, Fabio Antonelli
core
This study explores geometry‐driven phase evolution in gyroid shell metamaterials made via laser powder bed fusion of 17‐4 precipitation hardened stainless steel. Locally hardened regions develop along the primary loading paths in the structure, which finite element analysis and geometric considerations link to enhanced gyroid strength.
Julia T. Pürstl+8 more
wiley +1 more source
On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd
We study a stochastic partial differential equation in the whole space x∈ℝd, with arbitrary dimension d≥1, driven by fractional noise and a pure jump Lévy space-time white noise. Our equation involves a fractional derivative operator. Under some suitable
Xichao Sun, Zhi Wang, Jing Cui
doaj +1 more source
A stochastic HJB equation for optimal control of forward-backward SDEs
We study optimal stochastic control problems of general coupled systems of forward-backward stochastic differential equations with jumps. By means of the It\^o-Ventzell formula the system is transformed to a controlled backward stochastic partial ...
Sulem, Agnès+2 more
core +1 more source
The body‐centered‐cubic lattice structures from magnesium alloy WE43 with high relative material density (99.5%), fine microstructure, high mechanical properties (effective elastic modulus of 136 MPa), and material properties (Young's modulus of 40 GPa) are produced by laser beam powder bed fusion using hatch strategy with skywriting.
Jan Jaroš+7 more
wiley +1 more source
On the Quasi-linear Reflected Backward Stochastic Partial Differential Equations [PDF]
This paper is concerned with the quasi-linear reflected backward stochastic partial differential equation (RBSPDE for short). Basing on the theory of backward stochastic partial differential equation and the parabolic capacity and potential, we first associate the RBSPDE to a variational problem, and via the penalization method, we prove the existence ...
arxiv
This study models static recrystallization in interstitial free‐steel using coupled crystal plasticity and phase‐field simulations. The method directly links heterogeneous dislocation density to nucleation site prediction, eliminating reliance on empirical assumptions.
Alireza Rezvani+2 more
wiley +1 more source
Smooth Solutions of Non-linear Stochastic Partial Differential Equations [PDF]
In this paper, we study the regularities of solutions of nonlinear stochastic partial differential equations in the framework of Hilbert scales. Then we apply our general result to several typical nonlinear SPDEs such as stochastic Burgers and Ginzburg-Landau's equations on the real line, stochastic 2D Navier-Stokes equations in the whole space and a ...
arxiv
Structurally Colored Physically Unclonable Functions with Ultra‐Rich and Stable Encoding Capacity
This study reports a design strategy for generating bright‐field resolvable physically unclonable functions with extremely rich encoding capacity coupled with outstanding thermal and chemical stability. The optical response emerges from thickness‐dependent structural color formation in ZnO features, which are fabricated by physical vapor deposition ...
Abidin Esidir+8 more
wiley +1 more source
A materials and device design concept that comprises a self‐assembled ultra‐thin epitaxial ion‐transporting layer, an amorphous oxide overcoat oxygen‐blocking layer, and a partial filament formed during an electroforming step is proposed for low‐current multilevel resistive switching devices.
Ming Xiao+17 more
wiley +1 more source