Projects per year

## Personal profile

### Research interests

Nonlinear Analysis and Partial Differential Equations

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

- 2 Similar Profiles

elastic sheets
Physics & Astronomy

Periodic Wave
Mathematics

traveling waves
Physics & Astronomy

Traveling Wave
Mathematics

Fluid
Mathematics

Young Measures
Mathematics

Strain Gradient
Mathematics

Singular Limit
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2005 2011

- 3 Finished

Timeliness

Responsibility

Review process

### The Rigorous Analysis of Nonlinear Hydrodynamic Waves - Wolfson

1/04/08 → 30/09/11

Project: Research council

## Research Output 1995 2018

### Variational problems in the theory of hydroelastic waves

Plotnikov, P. I. & Toland, J. F., 28 Sep 2018, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376, 2129, 20170343.Research output: Contribution to journal › Article

Open Access

elastic sheets

Variational Problem

Gravitational potential energy

Periodic Wave

Potential energy

3
Citations
(Scopus)

### Strain-gradient theory of hydroelastic travelling waves and young measures of their singular limits

Plotnikov, P. I. & Toland, J. F., 2012, In : Calculus of Variations and Partial Differential Equations. 44, 1-2, p. 153-197 45 p.Research output: Contribution to journal › Article

Young Measures

Strain Gradient

Singular Limit

Traveling Wave

Fluid

36
Citations
(Scopus)

### Modelling nonlinear hydroelastic waves

Plotnikov, P. I. & Toland, J. F., 28 Jul 2011, In : Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences. 369, 1947, p. 2942-2956 15 p.Research output: Contribution to journal › Article

Open Access

File

elastic sheets

Nonlinear Waves

three dimensional motion

flow theory

potential flow

13
Citations
(Scopus)

### Steady periodic water waves under nonlinear elastic membranes

Baldi, P. & Toland, J. F., Mar 2011, In : Journal Fur Die Reine Und Angewandte Mathematik. 652, p. 67-112 46 p.Research output: Contribution to journal › Article

Periodic Wave

Water waves

Water Waves

Membrane

Periodic Traveling Waves

11
Citations
(Scopus)

### Surface waves on steady perfect-fluid flows with vorticity

Burton, G. R. & Toland, J. F., Jul 2011, In : Communications on Pure and Applied Mathematics. 64, 7, p. 975-1007 33 p.Research output: Contribution to journal › Article

Perfect Fluid

Surface Waves

Vorticity

Surface waves

Fluid Flow