Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...

Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

We consider a specific type of nonlinear partial differential equation (PDE) that appears in mathematical finance as the result of solving some optimization problems. We review some examples of such ...

In this paper closed-form solutions for the evaluation of the stress-field in a rigid perfectly-plastic body under plane-stress or plane-strain conditions are estimated. The two nonlinear partial ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

This is a preview. Log in through your library . Abstract The explosion probability before time t of a branching diffusion satisfies a nonlinear parabolic partial differential equation. This equation, ...

Office: Korman Center 290 dma68@drexel.edu Phone: 215.895.6247 David M. Ambrose works in mathematical analysis and scientific computing for nonlinear systems of partial differential equations arising ...

$\bullet$ Nonlinear partial differential equations and their qualitative analysis. $\bullet$ Interacting particle systems. $\bullet$ Limiting procedures. $\bullet$ A ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...