Propagation of perturbations in the first boundary-value problem for a double-nonlinear degenerate parabolic equation [PDF]
, 1986 A. S. Kalashnikov
openalex +1 more source
A Unified Rational Krylov Method for Elliptic and Parabolic Fractional Diffusion Problems [PDF]
, 2021 Tobias Danczul +2 more
openalex +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley +1 more source
Reflected BSDEs and continuous solutions of parabolic obstacle problem for semilinear PDEs in divergence form [PDF]
, 2009 Tomasz Klimsiak
openalex +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
On stabilization of solutions of the Cauchy problem for linear degenerate parabolic equations [PDF]
, 2009 Samuil D. Eidelman +2 more
openalex +1 more source
Optimal control problems for a parabolic system modeling glioma therapy [PDF]
, 2022 Mauro Garavello, Elena Rossi
openalex +1 more source
The von Neumann Stability Analysis of the Fixed‐Stress Schemes in Poroelastodynamics
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT We investigate splitting schemes based on the fixed‐stress sequential approach for poroelastodynamic problems. To assess numerical stability, we perform the von Neumann stability analysis on several fixed‐stress schemes for poroelastodynamics, including staggered, stabilized, and iterative methods. Our analysis reveals that while the staggered
Jihoon Kim +2 more
wiley +1 more source
Boundary-Value Problems with Non-Local Initial Condition for Parabolic Equations with Parameter [PDF]
, 2009 John Michael Rassias, Erkinjon Karimov
openalex +1 more source
Cauchy problem for some fractional nonlinear ultra-parabolic equations
Electronic Journal of Differential Equations, 2016 Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra ...
Fatma Al-Musalhi, Sebti Kerbal
doaj