Latest Articles for Applied Mathematics

A study on Green's functions in elliptic operators with singular drift terms.

Explore the connection between geometry and partial differential equations through prolongation and projective methods.

A look into energy minimization in defined spaces and its implications.

Explore the significance of parabolic equations and the Harnack inequality in mathematics.

New methods improve efficiency in modeling contact mechanics challenges.

A hands-on approach to learning topology via practical applications and real-world projects.

Examining the role of inverse problems in wave equations and their applications.

Examining Sard's conjecture in the context of Carnot groups and endpoint maps.

Research on algorithms for the k-center problem in distributed network settings.

Investigating the role of cylindrical fractional Laplacian in quantum particle behavior.

A deep dive into silting objects and their role in algebraic systems.

Examining the Kaup–Kupershmidt equations and their unique soliton solutions.

Examining integral solutions and counting methods for quaternion equations.

This study presents methods for approximating Hamilton-Jacobi equations using continuous time Markov decision problems.

Exploring conditions for eigenvalues of nonnegative matrices and their significance.

Research reveals strong solutions for heat and magnetic fields in fluids.

This article examines distance functions and their significance as topological Morse functions.

A deep dive into sums of squares and Pythagoras numbers in mathematics.

Learn about elliptic measures and their significance in mathematics and related fields.

Exploring global smooth solutions in two-dimensional quasilinear wave equations.

A deep dive into the Choquard equation and the significance of normalized solutions.

A look at operators and their properties in mathematical analysis.

A new method speeds up Pauli decomposition using the Fast Walsh-Hadamard Transform.

A detailed look at solving elastodynamic problems in nonconservative systems.

A novel criterion extends understanding of solutions and blow-up behavior in SPDEs.

Exploring the link between charge pumps and quantum criticality in materials.

Examining how randomness affects fluid behavior through stochastic Navier-Stokes equations.

An overview of metric surfaces and the concept of removable sets in geometry.

Exploring methods and techniques for solving variational Poisson problems.

A study on the solutions and behaviors of the Painlevé I equation.

A guide to the Levi equation and its geometric applications.

Explore how changing probability measures affects stochastic partial differential equations.

An overview of self-similar differential equations and their applications.

Examining advances in solving nonlinear eigenvalue problems across various fields.

A new method improves parameter estimates in inverse problems affected by noise.

An overview of Pennington-Worah matrices and their implications in various fields.

A study on how homogeneous sets and distinct degrees relate in graphs.

An overview of generalized Orlicz spaces and their practical applications.

A study on positive solutions and their behavior under boundary conditions.

Examining how elastic materials interact with fluids and surface tension.