Results 31 to 40 of about 554,981 (265)

Multi-Gear Bandits, Partial Conservation Laws, and Indexability

Mathematics, 2022
This paper considers what we propose to call multi-gear bandits, which are Markov decision processes modeling a generic dynamic and stochastic project fueled by a single resource and which admit multiple actions representing gears of operation naturally ...
José Niño-Mora
doaj   +1 more source

Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation

Abstract and Applied Analysis, 2013
In this work, we study the nonlinear self-adjointness and conservation laws for a class of wave equations with a dissipative source. We show that the equations are nonlinear self-adjoint.
Yang Wang, Long Wei
doaj   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

Conservation laws for self-adjoint first order evolution equations

, 2011
In this work we consider the problem on group classification and conservation laws of the general first order evolution equations. We obtain the subclasses of these general equations which are quasi-self-adjoint and self-adjoint.
Bluman G., Bluman G. W., Bozhkov Y., Bozhkov Y. D., Bruzón M. S., Cherniha R., Cunha M. C. C., Dorini F. A., Dorini F. A., Freire I. L., Freire I. L., Gandarias M. L., Gandarias M. L., Gazizov R., Ibragimov N. H., Ibragimov N. H., Ibragimov N. H., Lahno V. I., Nadjafikhah M., Nadjafikhah M., Naz R., Nedeljkov M., Ouhadan A., Popovych R. O., Qu C., Sarrico C. O. R., Sarrico C. O. R., Shen C., Zahran Y. H., Zhdanov R., Zhdanov R.   +30 more
core   +1 more source

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

Advanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source

New conservation laws and exact solutions of the special case of the fifth-order KdV equation

Journal of Ocean Engineering and Science, 2022
The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Conservation laws and normal forms of evolution equations

, 2010
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws.
Abellanas, Abellanas, Abellanas, Abellanas, Artur Sergyeyev, Ashton, Bocharov, Bryant, Błaszak, Drinfel'd, Foltinek, Foltinek, Galindo, Ibragimov, Igonin, Kaptsov, Kunzinger, Magadeev, Mikhailov, Mikhailov, Mikhailov, Miura, Newell, Nikitin, Olver, Popovych, Popovych, Popovych, Popovych, Roman O. Popovych, Sanders, Sanders, Sanders, Sergyeyev, Shapovalov, Svinolupov   +35 more
core   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Scaling Symmetries and Conservation Laws for Variable-coefficients Nonlinear Dispersive Equations

Trends in Computational and Applied Mathematics, 2019
Scaling symmetries arise in different branches of physics, and symmetry-based approaches are powerful tools for studying scaling-invariant models since they can provide conservation laws that are not obvious by inspection.
Érica M. Silva, Wescley L. Souza
doaj   +1 more source

A note on weak solutions of conservation laws and energy/entropy conservation

, 2017
A common feature of systems of conservation laws of continuum physics is that they are endowed with natural companion laws which are in such case most often related to the second law of thermodynamics.
Gwiazda, Piotr, Michálek, Martin, Świerczewska-Gwiazda, Agnieszka   +2 more
core   +1 more source