Add to ORKGWe provide a short overview of the derivation of the Poisson-Boltzmann Equation (PBE) and investigate the existence of solutions for the PBE in one dimension, where the domain is R. We statethe existence and uniqueness theorems for second order linear and nonlinear ordinary differential equation. Utilizing these theorems, we prove the existence of unique solutions to the linear and nonlinear PBE given one sided boundary condition.M.Sc
International audienceWe study the properties of an approximation of the Laplace operator with Neuma...
International audienceWe study the properties of an approximation of the Laplace operator with Neuma...
ABSTRACT – The Poisson-Boltzmann equation (PBE) is a second-order partial differential equation that...
AbstractThe Poisson-Boltzmann equation which arises in the theory of polyelectrolytes is an elliptic...
The Poisson-Boltzmann equation (PBE) gives a mean field description of the electrostatic potential i...
For the abstract Euler-Poisson-Darboux equation, boundary-value problems with Dirichlet and Neumann ...
We consider a Boltzmann equation for inelastic particles on the line and prove existence and unique...
The Vlasov-Poisson system models a collisionless plasma. When a boundary condition is included in th...
277 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.We consider the numerical sol...
277 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.We consider the numerical sol...
ABSTRACT. – We consider a 2-dimensional spatially homogeneous Boltzmann equation without cutoff, whi...
International audienceWe study the Boltzmann equation near a global Maxwellian in the case of bounde...
Using exact results from the theory of completely integrable systems of the Painleve/Toda t...
Using exact results from the theory of completely integrable systems of the Painleve/Toda t...
A new and innovative method for solving the 1D Poisson Equation is presented, using the finite diffe...
International audienceWe study the properties of an approximation of the Laplace operator with Neuma...
International audienceWe study the properties of an approximation of the Laplace operator with Neuma...
ABSTRACT – The Poisson-Boltzmann equation (PBE) is a second-order partial differential equation that...
AbstractThe Poisson-Boltzmann equation which arises in the theory of polyelectrolytes is an elliptic...
The Poisson-Boltzmann equation (PBE) gives a mean field description of the electrostatic potential i...
For the abstract Euler-Poisson-Darboux equation, boundary-value problems with Dirichlet and Neumann ...
We consider a Boltzmann equation for inelastic particles on the line and prove existence and unique...
The Vlasov-Poisson system models a collisionless plasma. When a boundary condition is included in th...
277 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.We consider the numerical sol...
277 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.We consider the numerical sol...
ABSTRACT. – We consider a 2-dimensional spatially homogeneous Boltzmann equation without cutoff, whi...
International audienceWe study the Boltzmann equation near a global Maxwellian in the case of bounde...
Using exact results from the theory of completely integrable systems of the Painleve/Toda t...
Using exact results from the theory of completely integrable systems of the Painleve/Toda t...
A new and innovative method for solving the 1D Poisson Equation is presented, using the finite diffe...
International audienceWe study the properties of an approximation of the Laplace operator with Neuma...
International audienceWe study the properties of an approximation of the Laplace operator with Neuma...
ABSTRACT – The Poisson-Boltzmann equation (PBE) is a second-order partial differential equation that...