Results 31 to 40 of about 752,725 (275)

Removability conditions for anisotropic parabolic equations in a computational validation

Frontiers in Applied Mathematics and Statistics
The article investigates removability conditions for singularities of anisotropic parabolic equations and in particular for the anisotropic porous medium equation and it aims in the numerical validation of the analytical results. The preconditions on the
Dirk Langemann, Mariia Savchenko, Mariia Savchenko   +2 more
doaj   +1 more source

On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator

International Journal of Mathematics and Mathematical Sciences, 2011
For the evolution equation 𝑦(𝑡)=𝐴𝑦(𝑡) with a scalar type spectral operator 𝐴 in a Banach space, conditions on 𝐴 are found that are necessary and sufficient for all weak solutions of the equation on [0,∞) to be strongly infinite differentiable on [0 ...
Marat V. Markin
doaj   +1 more source

Differential constraints compatible with linearized equations

, 1998
Differential constraints compatible with the linearized equations of partial differential equations are examined.
Bluman G.W., Fokas A.S., Fordy A.P., Ibragimov N.Kh., Mikhailov A.V., Olver P.J., Olver P.J., Olver P.J., Olver P.J., Rabelo M.L., Satır A., Sneddon I., Svinolupov S.I.   +12 more
core   +1 more source

Pulmonary Dysfunction Is Associated With Sleep Study Abnormalities in Children With Sickle Cell Disease: A Multicenter Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash, Anis Rabbani Nourani, A. K. M. Fazlur Rahman, Dima Ezmigna, Tarig Ali‐Dinar   +4 more
wiley   +1 more source

Stability of Stochastic Partial Differential Equations

Axioms, 2023
In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
doaj   +1 more source

Teaching Partial Differential Equations with CAS [PDF]

, 2018
Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals at least, with the following ...
Aguilera-Venegas, Gabriel, Galán-García, José Luis, Galán-García, María Ángeles, Padilla-Domínguez, Yolanda, Rodriguez-Cielos, Pedro, Rodríguez-Cielos, Ricardo   +5 more
core  

PDEs in Moving Time Dependent Domains

, 2013
In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given initial domain.
AJ Chorin, G Duvaut, H Amann, H Amann, OA Ladyzhenskaya, P Hartman   +5 more
core   +2 more sources

The Fate (Outcome) of Clinically Apparent Single Lesion and Oligofocal Nephroblastomatosis Treated According to SIOP/GPOH Protocols for Wilms Tumor

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The management of clinically apparent single lesions or oligofocal nephroblastomatosis, a facultative precursor of nephroblastoma, remains debated. Methods We retrospectively analyzed 37 patients with clinically apparent single or oligofocal nephroblastomatosis (two to three lesions per kidney) among 2347 patients registered between
Nils Welter, Jens‐Peter Schenk, Jenny Wegert, Manfred Gessler, Leo Kager, Stefan Wagenpfeil, Marina Müller, Jean‐Michel Wolff, Joerg Fuchs, Steven W. Warmann, Clemens‐Magnus Meier, Jochen Hubertus, Christian Rübe, Christian Vokuhl, Patrick Melchior, Lena Tschirner, Norbert Graf, Rhoikos Furtwängler   +17 more
wiley   +1 more source

Complex solutions of Monge-Amp\`ere equations

, 2011
We describe a method to reduce partial differential equations of Monge-Amp\`ere type in 4 variables to complex partial differential equations in 2 variables. To illustrate this method, we construct explicit holomorphic solutions of the special lagrangian
Banos, Banos, Banos, Bertrand Banos, Bonan, Bryant, Bryant, Bryant, Doubrov, Harvey, Hitchin, Hitchin, Hitchin, Hong, Joyce, Joyce, Joyce, Joyce, Joyce, Lychagin, Lychagin, Strominger   +21 more
core   +2 more sources

Effects of the Fluid Replacement Method During Online Hemodiafiltration on the Solute Removal Performance and Biocompatibility Using the Asymmetric Cellulose Triacetate Membrane

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai, Yoshitaka Kurihara, Fumi Yamauchi, Hiromi Hosoya, Takeshi Saito   +4 more
wiley   +1 more source