Diffusion Equation
Published:
\begin{align} \frac{\partial u}{\partial t} = \alpha \frac{\partial^2 u}{\partial x^2}, \quad \quad x \in (-L/2,L/2), \quad t \in (0,T] \tag{1} \end{align}
Posts by Collection
knowledgeBase
Mechanochemical Pattern Formation
Published:
Actomyosin Cortex
The actomyosin cortex of a cell is composed of actin filaments and myosin motor proteins.
portfolio
Portfolio item number 1
Short description of portfolio item number 1
Portfolio item number 2
Short description of portfolio item number 2
projects
Soliton-like behaviour in multi-component Nonlinear Schrödinger equations
Published:
Nonlinear Schrodinger (NLS) Equation is ubiquitous in physics, still not much is known about the dynamics of the equation. Through our investigation, we found that multicomponent NLS system can be mapped to an uncoupled Korteweg-de Vries (KdV) system. Since KdV is an integrable system we can know about certain qualitative aspects of multicomponent NLS from this mapping. One interesting feature of KdV equation is that it has a special solution called solitons, these special profiles balance the nonlinear and the dispersive effects in the system to give traveling wave packets. Leveraging our mapping one can find similar solutions for multicomponent NLS systems as well.
publications
Paper Title Number 1
Published in Journal 1, 2009
This paper is about the number 1. The number 2 is left for future work.
Recommended citation: Your Name, You. (2009). "Paper Title Number 1." Journal 1. 1(1). http://academicpages.github.io/files/paper1.pdf
Paper Title Number 2
Published in Journal 1, 2010
This paper is about the number 2. The number 3 is left for future work.
Recommended citation: Your Name, You. (2010). "Paper Title Number 2." Journal 1. 1(2). http://academicpages.github.io/files/paper2.pdf
Paper Title Number 3
Published in Journal 1, 2015
This paper is about the number 3. The number 4 is left for future work.
Recommended citation: Your Name, You. (2015). "Paper Title Number 3." Journal 1. 1(3). http://academicpages.github.io/files/paper3.pdf
talks
NLS Soliton
Published:
NLS Soliton
Conference Proceeding talk 3 on Relevant Topic in Your Field
Published:
This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
This is a description of a teaching experience. You can use markdown like any other post.
Teaching experience 2
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.