- Growth Management and Environmental Protection: Practices in Washington State, USA Page 1 of 7 Ferdouse Oneza, AICP
- Smooth Navier Stokes Solutiona millenium Problem Saleh Tanveer
- Viscous displacement in Hele-Shaw flow-a tale of unexpected singular perturbation
- AN INTEGRAL EQUATION APPROACH TO SMOOTH 3-D NAVIER-STOKES SOLUTION
- Curriculum Vita Saleh A. Tanveer
- NONLINEAR EVOLUTION PDES IN R+ Cd: EXISTENCE AND UNIQUENESS OF SOLUTIONS, ASYMPTOTIC AND
- Two bubbles in Stokes Flow Exact Solutions and Constraints
- A new approach to Regularity and Singularity Questions in some PDEs including
- Test 1 Sample, Math 551, Tanveer Instructions: Closed book and notes. Show work
- Steepest descent method Remark: This method is suitable for analyzing
- Week 7 lectures 1. More discussion on the asymptotics of (x + 1)
- Mapping properties of simple functions: More on Conformal Mapping
- Week 4 notes More examples on contour integration
- INTEGRAL FORMULATION OF 3-D NAVIER-STOKES AND LONGER TIME EXISTENCE OF SMOOTH SOLUTIONS.
- Maxwell's Equations: Application of Stokes and Gauss' theorem The object of this write up is to derive the so-called Maxwell's
- Midterm 2, Math 263, Tanveer, 50 minutes Instructions: Closed book and notes. Show work. Each problem worth the same.
- A new approach to Regularity and Singularity Questions in some PDEs including
- Borel Summation and Singularities in PDEs Saleh Tanveer
- Limits and Continuity Recall for one variable, the definition of limxa f(x). When the limit
- Math 263.02 Class Policy and Syllabus, March 28, 2011 Lecturer: Saleh Tanveer, 402 Math Tower, Ph: 292-5710.
- Borel Summation and 3-D Navier Stokes Existence Saleh Tanveer
- Lectures 1 & 2, Math 804 Definition 0.1 f has a derivative at z if
- Test 1, Solution, Math 551, Tanveer Instructions: Closed book and notes. Show work
- 1 Higher order WKB Recall in the last class, we used formal arguments to show how n independent solutions to
- Borel Summability in PDE initial value problems Saleh Tanveer
- Week 2 Notes, Math 804 Phragmen-Lindelof Principle
- Divergent series, Borel Summation, 3-D Navier-Stokes Saleh Tanveer
- Week 9 lectures 1. Wiener-Hopf method
- Week 3 notes Discussion on multi-valued functions
- Week 10 lectures, Math 804 1. Elliptic functions, Treatment as in Whittaker-Watson
- 1 Matched asymptotic expansion: preliminaries The object of this note is to develop the Kaplun extension Theorem that is the key to existence
- Solution to Section 5.4, assigned April 23 (1) (Section 5.4, Problem 10) Evaluate the iterated triple integral
- Sample Test 2, Math 551, Tanveer Instructions: Closed book and notes. Show work
- Week 8 lectures 1. More on RH problems and open curves
- GLOBAL EXISTENCE FOR A TRANSLATING NEAR-CIRCULAR HELE-SHAW BUBBLE WITH SURFACE TENSION
- GLOBAL SOLUTIONS FOR TWO-PHASE HELE-SHAW BUBBLE FOR A NEAR-CIRCULAR INITIAL SHAPE
- Regularity, singularity and well-posedness of some mathematical models in physics
- A new approach to regularity and singularity of PDEs including 3-D Navier Stokes equation
- Solution to Midterm 1, Math 263.02, 50 minutes Instructions: Closed book and notes. Show work. Each problem worth the same.
- Cylindrical and Spherical Coordinate Representation of grad, div, curl and 2 Thus far, we have described an arbitrary vector in F as a linear
- Week 6 notes 1. Boundary Properties of Conformal Map
- Week 11 lectures, Math 804 1. More on Weirstrass Elliptic Function P(z): Integral
- Mathematical Analysis of Floquet Problem with applications to pipe/channel flows
- Homework 4, Math 804 Tanveer Due date: Wednesday, Nov. 9, '07
- Week 1 notes: Math 716 1 PDE: Order, Linear & Nonlinear
- Solution to Homework 4, Math 804, Tanveer 1. Use Schwartz Reflection principle to show that an analytic function f in
- Viscous fingering a tale of unexpected singular perturbation
- Homework Set 2, Math 804, Due Monday, October 17th 1. Use Cauchy's integral formula to show that a solution u(x, y) to Laplace's equation
- Math 716, JR 139, MWF 11:30 a.m., Wi, '11,: Introduction to PDE The emphasis in Math 716 is on solving linear partial differential equations (PDEs) using
- Week 2, Math 716 1 Linear 1st order PDEs in two independent variables
- Math 804: Applied Complex Variables I, Course Policy and Syllabus, Au '11 Instructor: Saleh Tanveer
- Homework Set 2, Math 804, Due Monday, October 17th 1. Use Cauchy's integral formula to show that a solution u(x, y) to Laplace's equation
- Solution to Homework 1, Math 804 1. Assuming f(z) to be analytic, derive necessary relation between derivatives
- Week 5 Lectures, Math 716, Tanveer 1 Separation of variable method
- Homework Set 3: Math 716, Due: Wednesday, February 7th 1. Use energy method to prove uniqueness of classical solution to the initial value problem
- Week 3 Lectures, Math 716, Tanveer 1 Wave Equation as 1st order homogeneous system of PDEs
- Homework Set 2: Math 716, Due: Friday, January 26th 1. Consider the wave equation
- Week 4 Lectures, Math 716, Tanveer 1 Diffusion in Rn
- Solution to homework Set 6: Math 716 1. Determine the Green's function G(x, x0) for Dirichlet condition for Laplace's equation in
- Week 6 Lectures, Math 716, Tanveer 1 Fourier Series
- Large time behavior of solutions to evolutionary PDEs with time-periodic
- Week 9 Lectures, Math 716, Tanveer 1 Green's function as a distribution
- Week 8 Lectures, Math 716, Tanveer In the next few week's lecture, we will consider Green's function for different linear differential
- Conformal Mapping and Boundary integral approach to Laplacian Growth Problems in 2-D
- Solution to Set 5: Math 716 1. Show that the partial differential operator A defined by
- Large time behavior of solutions to evolutionary PDEs with time-periodic
- Week 10 Lectures, Math 716, Tanveer 1 Examples of Fourier-Transform of Distributions
- Solution to Homework Set 4: Math 716 1. Using the two approaches listed below as (a) and (b), find two different representation of
- Week 7 Lectures, Math 716, Tanveer 1 Introduction
- Global Existence and Stability of translating bubbles in a Hele-Shaw cell
- Global Existence and Stability of translating bubbles in a Hele-Shaw cell
- Solution to Homework Set 1, Math 716 1. Calculate and plot the characteristic curves of