Publications related to Global Regularity For The Nonlinear Wave Equation With Slightly Supercritical Power

On the Exact Gevrey Order of Formal Puiseux Series Solutions to the Third Painleve Equation

In this paper, we study the third Painleve equation with parameters gamma = 0, alpha delta not equal 0. The Puiseux series formally satisfying this equation (after a certain change of variables) asymptotically approximate of Gevrey order one solutions to t ...

2019

On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

Shuang Miao

In a recent work we constructed future-global-in-time large solution to the Cauchy problem for semi-linear wave equation on R3+1 with nonlinear terms satisfying the null conditions. In this article we show that the method also applies to energy-supercritic ...

AMER MATHEMATICAL SOC2019

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

David Valentin Strütt

We study the system of linear partial differential equations given by dw + a Lambda w = f, on open subsets of R-n, together with the algebraic equation da Lambda u = beta, where a is a given 1-form, f is a given (k + 1)-form, beta is a given k + 2-form, w ...

2018

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

David Valentin Strütt

In this thesis, we study two distinct problems. The first problem consists of studying the linear system of partial differential equations which consists of taking a k-form, and applying the exterior derivative 'd' to it and add the wedge product with a 1- ...

EPFL2018

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Jean-Philippe Lucien Montillet

Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with a particular application to the wave equation [ 15]. To do so, the author ha ...

Int Center Scientific Research & Studies2017

Stochastic partial differential equations driven by Lévy white noises

Thomas Marie Jean-Baptiste Humeau

We study various aspects of stochastic partial differential equations driven by Lévy white noise. This driving noise, which is a generalization of Gaussian white noise, can be viewed either as a generalized random process or as an independently scattered r ...

EPFL2017

Renormalized solutions to the continuity equation with an integrable damping term

Maria Colombo

We consider the continuity equation with a nonsmooth vector field and a damping term. In their fundamental paper, DiPerna and Lions (Invent Math 98:511-547, 1989) proved that, when the damping term is bounded in space and time, the equation is well posed i ...

2015

On global regularity for systems of nonlinear wave equations with the null-condition

Joachim Krieger, Aparajita Dasgupta, Can Gao

In this note we combine a recent result by Geba [2] on the local wellposedness theory of systems of nonlinear wave equations with

Q_0

null-form structure with the classical Penrose compactification method to obtain a new small data global existence resul ...

International Press2015

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Joachim Krieger

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

on

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

Nonlinear Analysis of a Coaxial Microhelicopter with a Bell Stabilizer Bar

Philippe Müllhaupt, Basile Graf

Nonlinear modeling of coaxial microhelicopters is studied. All equations are derived using a Lagrangian approach and simplified aerodynamics assumptions so that all parameters have a physical meaning; there is no “black box.” The model is constructed with ...

Amer Helicopter Soc Inc2014

Global Regularity For The Nonlinear Wave Equation With Slightly Supercritical Power

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On the Exact Gevrey Order of Formal Puiseux Series Solutions to the Third Painleve Equation

On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Stochastic partial differential equations driven by Lévy white noises

Renormalized solutions to the continuity equation with an integrable damping term

On global regularity for systems of nonlinear wave equations with the null-condition

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Nonlinear Analysis of a Coaxial Microhelicopter with a Bell Stabilizer Bar

On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

On global regularity for systems of nonlinear wave equations with the null-condition

On the Exact Gevrey Order of Formal Puiseux Series Solutions to the Third Painleve Equation

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Renormalized solutions to the continuity equation with an integrable damping term

Nonlinear Analysis of a Coaxial Microhelicopter with a Bell Stabilizer Bar

Stochastic partial differential equations driven by Lévy white noises