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Research · Nonlinear partial differential equations · Lower semicontinuity, relaxation, quasiconvexity and gradient Young measures · Geometric measure theory and ...

Research area within the Differential Equations and Numerical Analysis (DNA) group at the Department of Mathematical Sciences.

The research of the analysis group covers functional analysis, harmonic analysis, several complex variables, partial differential equations, and analysis on ...

The key innovation of this imaging algorithm lies in a new approach for a novel linearized problem (LP). Such an LP is reduced to a boundary value problem for a coupled system of elliptic partial differential equations, rather than a conventional form of an ill-posed integral equation.

Many fundamental processes in nature and technology can be described by partial differential equations. The research group is working on the analytical ...

Introductory PDEs require that you know what differential equations are, and what partial derivatives are. Generally Calculus is taken for 3 semesters, the ...

The group is also currently interested in mathematical biology. The research is both oriented toward analysis and numerical methods for partial ...

In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how x is thought of as an unknown number to be solved for in an algebraic eq…

Analysis and Partial Differential Equations The research of the analysis group covers functional analysis, harmonic analysis, several complex variables, partial differential equations, and analysis on metric and Carnot-Caratheodory spaces. Beatrous' Research (Emeritus Professor) Frank H. …

Partial Differential Equations show up in almost all fields of exact sciences. Within this broad scope, research at UConn’s math department focuses mainly on the following topics: Linear partial differential equations and Brownian motion. Nonlinear Analysis: the Mountain Pass Theorem. The Gierer Meinhardt model.

Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, ...

Partial differential equations is a many-faceted subject. Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations. Examples are the vibrations of solids, the flow of fluids, the diffusion of chemicals, the spread of heat, the interactions of photons and electrons, the ...

Here, we focus mainly on the partial differential equations approach to the valuation and hedging of derivative securities in the HJM framework. For the sake of completeness, the risk neutral methodology (more specifically, the forward measure technique) is also exposed. Save to Library.

The derivation proceeds essentially as if each surrogate element were a rigid body. Application of an extended form of Lagrange''s equation yields a set of simultaneous differential equations which can then be transformed to be the exact, partial differential equations for the original flexible system.

"A method for finding the general solution to the partial differential equations: F(u_x, u_y) = 0; F(f(x) u_x, u_y) = 0 (or F(u_x, h(y) u_y) = 0) is presented, founded on a Legendre like transformation and a theorem for Pfaffian differential forms. As the solution obtained depends on an arbitrary function, then it is a general solution.

Wang's Research (Professor) Wang's research area is analysis of partial differential equations arising in fluid dynamics, hyperbolic conservation laws, elastodynamics, geometry, kinetic theory, biology, etc. He works on nonlinear PDE problems including transonic flows, free boundary problems, vortex sheets, turbulence, isometric embeddings ...

Partial Differential Equations in Applied Mathematics provides a platform for the rapid circulation of original researches in applied mathematics and ...

81 votes, 17 comments. My initial assumption is that most research in PDEs is happening under the umbrella of "Analysis", but I've seen ...

The aims of the present Research Group are the study of several topics in the field of Partial Differential Equations (PDE’s) and their applications, also combined with the study of other mathematical tools to deal with some specific models.

Research Advisors for Partial Differential Equations. Professor Burns' current research is focused on computational methods for modeling, control, estimation and optimization of complex systems where spatially distributed information is essential. This includes systems modeled by partial and delay differential equations.