[HTML][HTML] Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium
This paper presents a study on space fractional anomalous convective-diffusion and
chemical reaction in the magneto-hydrodynamic fluid over an unsteady stretching sheet. The …
chemical reaction in the magneto-hydrodynamic fluid over an unsteady stretching sheet. The …
Nonlocal complement value problem for a global in time parabolic equation
JD Djida, GF Foghem Gounoue… - Journal of Elliptic and …, 2022 - Springer
The overreaching goal of this paper is to investigate the existence and uniqueness of weak
solution of a semilinear parabolic equation with double nonlocality in space and in time …
solution of a semilinear parabolic equation with double nonlocality in space and in time …
[HTML][HTML] Existence and uniqueness of an inverse memory kernel for an integro-differential parabolic equation with free boundary
B Wu, Y Gao, L Yan, S Wu, Z Wang - Journal of Dynamical and Control …, 2018 - Springer
We consider an inverse problem for an integro-differential parabolic equation with free
boundary. This inverse problem aims to identify the memory kernel function from a global …
boundary. This inverse problem aims to identify the memory kernel function from a global …
Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III
K Van Bockstal, M Slodička - Inverse Problems in Science and …, 2017 - Taylor & Francis
In this contribution, the reconstruction of a solely time-dependent heat source is studied in
an inverse problem arising in one-dimensional thermoelasticity. The missing heat source is …
an inverse problem arising in one-dimensional thermoelasticity. The missing heat source is …
On a finite difference scheme for an inverse integro-differential problem using semigroup theory: a functional analytic approach
RH De Staelen, D Guidetti - Numerical Functional Analysis and …, 2016 - Taylor & Francis
In this article, the problem of reconstructing an unknown memory kernel from an integral
overdetermination in an abstract linear (of convolution type) evolution equation of parabolic …
overdetermination in an abstract linear (of convolution type) evolution equation of parabolic …
Application of Rothe's Method to a Parabolic Inverse Problem with Nonlocal Boundary Condition
YH Jo, MH Ri - Applications of Mathematics, 2022 - Springer
We consider an inverse problem for the determination of a purely time-dependent source in
a semilinear parabolic equation with a nonlocal boundary condition. An approximation …
a semilinear parabolic equation with a nonlocal boundary condition. An approximation …
Identification of a memory kernel in a nonlinear integrodifferential parabolic problem
K Van Bockstal, M Slodička, F Gistelinck - Applied Numerical Mathematics, 2017 - Elsevier
In this contribution, the reconstruction of a solely time-dependent convolution kernel in an
nonlinear parabolic equation is studied. The missing kernel is recovered from a global …
nonlinear parabolic equation is studied. The missing kernel is recovered from a global …
The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method
T Kang, K Van Bockstal, R Wang - Computers & Mathematics with …, 2018 - Elsevier
This paper is devoted to the study of an inverse source problem governed by full Maxwell's
equations by means of the potential field method (the A-ϕ method). The source term is …
equations by means of the potential field method (the A-ϕ method). The source term is …
[HTML][HTML] Optoacoustic inversion via convolution kernel reconstruction in the paraxial approximation and beyond
O Melchert, M Wollweber, B Roth - Photoacoustics, 2019 - Elsevier
In this article we address the numeric inversion of optoacoustic signals to initial stress
profiles. Therefore we study a Volterra integral equation of the second kind that describes …
profiles. Therefore we study a Volterra integral equation of the second kind that describes …
Error estimates for the time discretization of a semilinear integrodifferential parabolic problem with unknown memory kernel
M Grimmonprez, K Van Bockstal… - … : Theory, Methods and …, 2017 - cambridge.org
This paper is devoted to the study of an inverse problem containing a semilinear
integrodifferential parabolic equation with an unknown memory kernel. This equation is …
integrodifferential parabolic equation with an unknown memory kernel. This equation is …