Results 141 to 150 of about 1,833 (248)

Continuity up to the boundary for minimizers of the one-phase Bernoulli problem. [PDF]

Calc Var Partial Differ Equ
Fernández-Real X, Gruen F.
europepmc   +1 more source

Toward Dynamic Phase‐Field Fracture at Finite Strains

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist, Matthias Thimm, Kerstin Weinberg, Christian Wieners, Marita Thomas   +4 more
wiley   +1 more source

Gradient regularity for widely degenerate elliptic partial differential equations. [PDF]

SN Partial Differ Equ Appl
Strunk M.
europepmc   +1 more source

Regularity Properties of Solutions of a Model for Morphoelastic Growth in the Presence of Nutrients in One Spatial Dimension

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley   +1 more source

Hawking's Singularity Theorem for Lipschitz Lorentzian Metrics. [PDF]

Commun Math Phys
Calisti M, Graf M, Hafemann E, Kunzinger M, Steinbauer R.   +4 more
europepmc   +1 more source

Exploring Imprecise Probabilities in Quantum Algorithms with Possibility Theory

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Quantum computing utilizes the underlying principles of quantum mechanics to perform computations with unmatched performance capabilities. Rather than using classical bits, it operates on qubits, which can exist in superposition and entangled states. This enables the solution of problems that are considered intractable for classical computers.
Jan Schneider, Tom Könecke, Michael Hanss   +2 more
wiley   +1 more source

An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems. [PDF]

Stoch Partial Differ Equ
Bechtel S, Veraar M.
europepmc   +1 more source

Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider, Ceyhun Özdemir, Heiko Gimperlein, Karsten Urban, Bernd Graf   +4 more
wiley   +1 more source

A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models

Stat, Volume 15, Issue 1, March 2026.
ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes, Ting Fung Ma, Ian McGahan, Daniel Walsh, Jun Zhu   +4 more
wiley   +1 more source

Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]

Sci Rep
Oudjedi-Damerdji LF, Meziane M, Djidel O, Boulaaras S, Alharbi A.   +4 more
europepmc   +1 more source