Results 101 to 110 of about 1,422,735 (373)

Nonlocal initial boundary value problem for the time-fractional diffusion equation

Electronic Journal of Differential Equations, 2017
In this article we discuss a method for constructing trace formulae for the heat-volume potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains and use these conditions to construct as well as to study a nonlocal
Makhmud Sadybekov, Gulaiym Oralsyn
doaj  

Global well-posedness and viscosity vanishing limit of a new initial-boundary value problem on two/three-dimensional incompressible Navier-Stokes equations and/or Boussinesq equations

Communications in Analysis and Mechanics
The global well-posedness theory and viscosity vanishing limit of the initial-boundary value problem on two/three-dimensional (2D/3D) incompressible Navier-Stokes (NS) equations and/or Boussinesq equations with nonlinear boundary conditions are studied ...
Shu Wang
doaj   +1 more source

Global existence of solutions for a class of thermoelastic plate systems

Boundary Value Problems, 2018
This paper is concerned with the initial-boundary value problem for a class of thermoelastic plate systems. Under some appropriate assumptions, the global existence of solutions is obtained.
Yang Liu
doaj   +1 more source

On the optimization of the initial boundary value problem for a conservation law

Journal of Mathematical Analysis and Applications, 2004
The authors study an initial boundary value problem (IVBP) for a scalar conservation law. It is shown that the theory of shift differentiability can be extended to this case. Then a certain functional on the solutions of IVBP is considered and a necessary condition for its stationary points are deduced by means of the obtained first order shift ...
COLOMBO, Rinaldo Mario, GROLI ALESSANDRO
openaire   +2 more sources

Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture

Advanced Engineering Materials, EarlyView.
Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee, Mahdi Askari‐sedeh, Ali Zolfagharian, Mostafa Baghani   +3 more
wiley   +1 more source

Navier–Stokes Equation in a Cone with Cross-Sections in the Form of 3D Spheres, Depending on Time, and the Corresponding Basis

Mathematics
The work establishes the unique solvability of a boundary value problem for a 3D linearized system of Navier–Stokes equations in a degenerate domain represented by a cone.
Muvasharkhan Jenaliyev, Akerke Serik, Madi Yergaliyev   +2 more
doaj   +1 more source

Static and Dynamic Behavior of Novel Y‐Shaped Sandwich Beams Subjected to Compressive Loadings: Integration of Supervised Learning and Experimentation

Advanced Engineering Materials, EarlyView.
In this study, the mechanical response of Y‐shaped core sandwich beams under compressive loading is investigated, using deep feed‐forward neural networks (DFNNs) for predictive modeling. The DFNN model accurately captures stress–strain behavior, influenced by design parameters and loading rates.
Ali Khalvandi, Saeed Kamarian, Mahdi Bodaghi, Saeed Saber‐Samandari, Jung‐il Song   +4 more
wiley   +1 more source

Initial-boundary value problem with a nonlocal condition for a viscosity equation

International Journal of Mathematics and Mathematical Sciences, 2002
This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral conditions for a viscosity equation.
Abdelfatah Bouziani
doaj   +1 more source

Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control

Advanced Engineering Materials, EarlyView.
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian, Frédéric Demoly, Mohammad Lakhi, Bernard Rolfe, Mahdi Bodaghi   +4 more
wiley   +1 more source

Existence and non-uniqueness of similarity solutions of a boundary layer problem [PDF]

A Blasius boundary value problem with inhomogeneous lower boundary conditions f(0) = 0 and f'(0) = - lambda with lambda strictly positive was considered. The Crocco variable formulation of this problem has a key term which changes sign in the interval of
Hussaini, M. Y., Lakin, W. D.
core   +1 more source