Results 201 to 210 of about 128,747 (328)

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang   +2 more
wiley   +1 more source

Mathematical Modeling of Measured Recalescence Velocities

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A moving‐boundary problem of synchronous directional and volumetric solidification in undercooled liquid drops is formulated and solved. Directional solidification is caused by the temperature gradient along the spatial direction, whereas volumetric growth of new phase elements is caused by the melt undercooling ahead of the phase transition ...
Dmitri V. Alexandrov   +3 more
wiley   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin   +2 more
wiley   +1 more source

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