Partial Differential Equations Conference

Contributed Talks

7/24 Saturday (Eastern Daylight Time)

1:40 – 3:20p (20 mins for each talk: 15 mins talk + 5 mins question)

Session 1 – Chair: Sijing Liu

1:40 – 2:00p: Ravindran, S.S. “Analysis of stabilized Crank-Nicolson time-stepping scheme for the evolutionary Peterlin viscoelastic model”

2:00 – 2:20p: Cho, M. “A meshless method for regularized Laplacian boundary value problems using Steklov eigenfunctions”

2:20 – 2:40p: Sandilya, R. “Numerical stabilization of the Boussinesq system using boundary feedback control”

2:40 – 3:00p: Marazzato, F. “Discontinuous Galerkin implementation of variational phase-field models of brittle fracture”

03:00 – 03:20p: Liu, S. “A P_1 finite element method for a distributed elliptic optimal control problem with a general state equation and pointwise state constraints”

Session 2 – Chair: Ujjal Das

1:40 – 2:00p: Kumar, D. “Sobolev and Holder regularity results for some non-homogeneous quasilinear singular problems”

2:00 – 2:20p: El Aidi, M. “On a new parabolic Sobolev embedding map”

2:20 – 2:40p: Biswas, N. “On cylindrical and non-cylindrical (p,q)-Hardy potentials”

2:40 – 3:00p: Lopera Arias, E. J. “A generalized Pohozaev Identity: some applications”

3:00 – 3:20p: Das, U. “On the optimal space of Hardy potentials” 

Session 3 – Chair: Dhruba Adhikari

1:40 – 2:00p: Agudelo, O. “An existence result for anisotropic quasilinear problems”

2:00 – 2:20p: Taarabti, S. “Multiple solutions for a Neumann problem type with indefinite weight”

2:20 – 2:40p: Restrepo, D. “On the regularity and qualitative properties of solutions of Grad equations”

2:40 – 3:00p: Herrón O., S. “Infinitely many non-radial solutions of elliptic weighted superlinear problems”

3:00 – 3:20p: Adhikari, D.R. “A topological degree theory for perturbed A_G(S_+)-operators and applications to nonlinear problems”

Session 4 – Chair: Elliott Hollifield

1:40 – 2:00p: Shao, Y. “The fractional porous medium equation on manifolds with conic singularities”

2:00 – 2:20p: Kumar, U. “Sign-changing solutions to fractional p-Laplacian problem with purely critical nonlinearity in symmetric domain”

2:20 – 2:40p: Lan, K. “Hammerstein integral operators involving the Newtonian potential kernel” 

2:40 – 3:00p: Salazar, D. “Sign-changing concentrated solutions for a Neumann problem in 3D with critical nonlinearity”

3:00 – 3:20p: Hollifield, E. “Radial Symmetry of Nonnegative Solutions to Fractional Laplacian Equations”

Session 5 – Chair: Jerome Goddard II

1:40 – 2:00p: Yang, B. “New upper estimate for positive solutions to a second order boundary value problem with a parameter”

2:00 – 2:20p: Fonseka, N. “Logistic growth model with U-shaped density dependent dispersal and matrix hostility”

2:20 – 2:40p: Muthunayake, A. “Modeling the effects of trait-mediated dispersal on coexistence of mutualists”

2:40 – 3:00p: Acharya, A. “Sigma-shaped bifurcation curves”

3:00 – 3:20p: Goddard II, J. “When is competition better than having the whole patch to yourself?”

7/25 Sunday (Eastern Daylight Time)

1:40 – 3:20p (20 mins for each talk: 15 mins talk + 5 mins question)

Session 6 – Chair: Aaron Rapp

1:40 – 2:00p: Awanou, G. “Discrete Aleksandrov solutions of the Monge-Ampere equation”

2:00 – 2:20p: Ferrari, M. “On the coupling of the curved virtual element method and the one-equation boundary element method for 2D exterior Helmholtz problems”

2:20 – 2:40p: Luong, T. “Minimizers for the Cahn-Hilliard energy functional under strong anchoring conditions”

2:40 – 3:00p: Guo, D. “Semi-Lagrangian forward methods for time-dependent nonlinear partial differential equations” 

3:00 – 3:20p: Rapp, A. “The consistency of the dual-wind discontinuous Galerkin methods”

Session 7 – Chair: Falko Baustian

1:40 – 2:00p: Sanjuán, A. “A priori bounds for radial solutions to elliptic equations approaching critical growth”

2:00 – 2:20p: Kumar, K.A. “A shape variation result via the geometry of the eigenfunctions”

2:20 – 2:40p: Dimou, H. “A new variant of Wilson’s functional equation on monoids”

2:40 – 3:00p: Valdebenito, D.A. “Log-radially quasiperiodic solutions to certain semilinear elliptic equations” 

3:00 – 3:20p: Baustian, F. “Basis properties of Fucík eigenfunctions”

Session 8 – Chair: Byungjae Son

1:40 – 2:00p: Halder, A.K. “Solutions of Yu-Toda-Sasa-Fukuyama equation using point and nonlocal symmetries”

2:00 – 2:20p: Joseph, A. “Positive solutions to superlinear semipositone problems on the exterior of a ball”

2:20 – 2:40p: Thomas, P.J. “A partial differential equation for the mean–return-time phase of planar stochastic oscillator”

2:40 – 3:00p: Son, B. “A uniqueness result for positive radial solutions to nonlinear elliptic systems on the exterior of a ball”

3:00 – 3:20p: Sarkar, A. “Three solutions for a weighted p-Laplacian problem”

Session 9 – Chair: Jorge I Cossio Betancur

1:40 – 2:00p: Kotrla, L. “Comparison principles in problems with p-Laplacian”

2:00 – 2:20p: Mohammed, A. “On the lower and upper bound of the ground state-energy for the p-Laplacian operators”

2:20 – 2:40p: Vélez, C. “Energy and blow up analysis associated to radially symmetric quasilinear Dirichlet problems with indefinite weight”

2:40 – 3:00p: Sportelli, C. “On existence and multiplicity of solutions for quasilinear elliptic systems of gradient type with a supercritical growth”

3:00 – 3:20p: Cossio, J. “Phase-plane analysis to prove the existence of infinitely many radial solutions for a quasilinear Dirichlet problem with indefinite weight”

Session 10 – Chair: Catherine Payne

1:40 – 2:00p: Almusawa, H. “Some more closed-form invariant solutions and dynamical behavior of multiple solitons for the (2+1)-dimensional rdDym equation using the Lie symmetry approach”

2:00 – 2:20p: Robertson, T. “Cauchy problem for Keller-Segel systems in weighted mixed-norm spaces” 

2:20 – 2:40p: Wagley, M. “Non-standard compact discretization for Burger’s type non-linear equations”

2:40 – 3:00p: Payne, C. “Delay-dependent stability criterion for linear neutral systems with distributed delays”

3:00 – 3:20p: Wang, T. “Forced oscillation of viscous Burgers equation in a bounded domain”