Mathematics
New Soliton Families and Multistability Emerge from a Shallow-Water Wave Equation
A new study derives exact dark, kink, lump and periodic wave solutions of the (1+1)-dimensional Estevez-Mansfield-Clarkson model and shows the...
Viscoelastic Wave Equation Study Establishes Polynomial Energy Decay Under Weak Memory Conditions
A new analysis in Boundary Value Problems establishes polynomial and exponential energy decay rates for a viscoelastic wave equation with...
Mathematicians Map How Resistance Terms Reshape Flow Patterns in 2D Burgers Equations
A new mathematical study identifies the exact conditions under which two-dimensional Burgers equations with external resistance terms undergo subcritical or...
Research report: Modeling the spread and mitigation of absenteeism among university students: a stage-structured compartmental approach with optimal control
A new five-compartment mathematical model treats university absenteeism as a socially transmitted process and identifies early re-engagement of occasional absentees...
Permanently locked-in consumption makes investors more cautious, study finds
A theoretical study shows that when consumption increases become permanently locked in after a planning horizon, agents adjust consumption less...
Mathematicians Map When a Coupled p,q-Laplacian System Has Weak Solutions
A new study establishes existence of weak solutions for a coupled p,q-Laplacian system via variational methods and proves nonexistence in...
New inverse Chris Jerry distribution improves fits for flood and repair data
Researchers introduced the inverse Chris Jerry distribution, a one-parameter model whose density and hazard rate can take several shapes, and...
New IMEX Scheme Shows Second-Order Convergence for Option Pricing Equations
Researchers proved second-order convergence for an IMEX difference scheme solving the two-dimensional PIDE arising from option pricing under a stochastic...
Open-Access Platform Maps Brazil’s Lowest-Cost Routes to Carbon Neutrality
An open-access platform developed by UNICAMP and Princeton simulates lowest-cost decarbonization pathways for Brazil to reach carbon neutrality by 2050.
Mathematicians Prove Uniqueness of Positive Solutions in (p,q)-Laplacian Problem
A new study in Boundary Value Problems proves that a one-dimensional (p,q)-Laplacian boundary value problem with a singular weight and...
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Mothers who receive childcare support from maternal grandparents show more parental warmth, finds NTU Singapore study
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University of Seville Breaks 120-Year-Old Mystery, Revises a Key Einstein Concept
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Bee body mass, pathogens and local climate influence heat tolerance
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Researchers record first-ever images and data of a shark experiencing a boat strike
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Groundbreaking Clinical Trial Reveals Lubiprostone Enhances Kidney Function
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