Results 41 to 50 of about 3,258,064 (367)

Cauchy problem for a parabolic equation with Bessel operator and Riemann-Liouville partial derivative

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In this paper Cauchy problem for a parabolic equation with Bessel operator and with Riemann-Liouville partial derivative is considered. The representation of the solution is obtained in terms of integral transform with Wright function in the kernel.
Fatima G Khushtova
doaj   +1 more source

The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain

open access: yesElectronic Research Archive, 2023
This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain.
Yaning Li , Yuting Yang
doaj   +1 more source

Some remarks on the continuity equation [PDF]

open access: yes, 2012
We describe some relations between the properties of the Cauchy problem for an ODE and the properties of the Cauchy problem for the associated continuity equation in the class of ...
Patrick Bernard   +2 more
core  

On the geometry of the domain of the solution of nonlinear Cauchy problem

open access: yes, 2016
We consider the Cauchy problem for a second order quasi-linear partial differential equation with an admissible parabolic degeneration such that the given functions described the initial conditions are defined on a closed interval.
A.V. Bitsadze   +14 more
core   +1 more source

The Cauchy problem of the Ward equation

open access: yesJournal of Functional Analysis, 2009
37 pages, no ...
openaire   +3 more sources

Cauchy problem for a linear hyperbolic equation of the second order

open access: yesMathematical Modelling and Analysis, 2006
The definition of hyperbolic equation by a prescribed vector field is introduced for linear differential equation of the second order. The Cauchy problem with prescribed boundary conditions is considered for such equations.
V. I. Korzyuk, E.S. Cheb
doaj   +1 more source

Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture

open access: yesAdvanced 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   +3 more
wiley   +1 more source

On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

open access: yesInternational Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

On the uniqueness of the solution of the Cauchy problem for the equation of fractional diffusion with Bessel operator

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
In this paper, we consider fractional diffusion equation involving the Bessel operator acting with respect to a spatial variable and the Riemann-Liouville fractional differentiation operator acting with respect to a time variable.
Fatima G Khushtova
doaj   +1 more source

The Nonlinear Visco‐Hyperelastic Damage Mechanics of Individual Electrospun Polycaprolactone Fibers: Experiments and Modeling

open access: yesAdvanced Engineering Materials, EarlyView.
This study investigates the complex mechanics of individual electrospun polycaprolactone fibers under small and large strains. Combining experiments with a visco‐hyperelastic damage model, this work reveals and quantifies these fibers’ nonlinear behavior, including strain‐stiffening, viscoelasticity, and damage.
Sascha L. Granhold   +8 more
wiley   +1 more source

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