A Gronwall-type lemma with parameter and dissipative estimates for PDEs

Convergence to stationary states of solutions to the semilinear equation of viscoelasticity

GATTI, Stefania
GRASSELLI M.

January 2006

We consider the equation of viscoelasticity characterized by a nonlinear elastic force φ depending o...

The well posedness of the dissipative Korteweg-de Vries equations with low regularity data

Han, Jinsheng
Peng, Lizhong

January 2008

We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...

Approximation of dissipative systems by elastic chains: numerical evidence

Alberto Maria Bersani
Paolo Caressa
Francesco dell’Isola

January 2022

An old and debated problem in Mechanics concerns the capacity of finite dimensional Lagrangian syste...

A Gronwall-type lemma with parameter and dissipative estimates for PDEs

Gatti, Stefania
Pata, Vittorino
Zelik, Sergey

January 2009

We discuss the problem of establishing dissipative estimates for certain differential equations for ...

Attractors for semilinear equations of viscoelasticity with very low dissipation

Gatti, Stefania
Miranville, A
Pata, V
Zelik, S.

January 2008

We analyze a differential system arising in the theory of isothermal viscoelasticity. This system is...

Regularity and Decay Estimates of Dissipative Equations

Bae, Hantaek
Biswas, Animikh
Tadmor, Eitan

February 2016

We establish Gevrey regularity of solutions to dissipative equations. The main tools are Gevrey esti...

Ladder methods, length scales and positivity of solutions in dissipative partial differential equations.

Woolcock, Caroline.

January 1998

In this thesis we have investigated some physically interesting dissipative partial differential equ...

Attractors for Semi-Linear Equations of Viscoelasticity with Very Low Dissipation

Miranville, Alain
Gatti, Stefania
Zelik, Sergey
Pata, Vittorino

January 2008

We analyze a differential system arising in the theory of isothermal viscoelasticity. This system is...

Criteria for the $L^p$-dissipativity of systems of second order differential equations

A. CIALDEA
MAZ'YA V

January 2006

We give complete algebraic characterizations of the $L^{p}$-dissipativity of the Dirichlet problem f...

Non linear problems in dissipative models

DE ANGELIS, MONICA
FIORE, GAETANO
RENNO, PASQUALE

January 2005

Aim of the paper is the qualitative analysis of a quasi-linear parabolic third order equation, which...

On the crest factor for dissipative partial differential equations

Bartuccelli, Michele V.

September 2019

In this work, we have introduced and then computed the so-called crest factor associated with soluti...

Dissipative Partial Differential Equations and Dynamical Systems

January 2012

This article surveys some recent applications of ideas from dynamical sys-tems theory to understand ...

Asymptotics for dissipative nonlinear equations

Hayashi, Nakao
Naumkin, Pavel I
Kaikina, Elena I
Shishmarev, Ilya A

January 2006

Many of problems of the natural sciences lead to nonlinear partial differential equations. However, ...

Criterion for the functional dissipativity of the Lamé operator

Cialdea A.
Maz'ya V.

After introducing the concept of functional dissipativity of the Dirichlet problem in a domain Ω⊂RN ...

General decay rate of a weakly dissipative viscoelastic equation with a general damping

Khaleel, Anaya
Messaoudi, Salim A

January 2021

In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A ge...

Convergence to stationary states of solutions to the semilinear equation of viscoelasticity

GATTI, Stefania
GRASSELLI M.

January 2006

We consider the equation of viscoelasticity characterized by a nonlinear elastic force φ depending o...

The well posedness of the dissipative Korteweg-de Vries equations with low regularity data

Han, Jinsheng
Peng, Lizhong

January 2008

We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...

Approximation of dissipative systems by elastic chains: numerical evidence

Alberto Maria Bersani
Paolo Caressa
Francesco dell’Isola

January 2022

An old and debated problem in Mechanics concerns the capacity of finite dimensional Lagrangian syste...

A Gronwall-type lemma with parameter and dissipative estimates for PDEs

Gatti, Stefania
Pata, Vittorino
Zelik, Sergey

January 2009

We discuss the problem of establishing dissipative estimates for certain differential equations for ...

Attractors for semilinear equations of viscoelasticity with very low dissipation

Gatti, Stefania
Miranville, A
Pata, V
Zelik, S.

January 2008

We analyze a differential system arising in the theory of isothermal viscoelasticity. This system is...

Regularity and Decay Estimates of Dissipative Equations

Bae, Hantaek
Biswas, Animikh
Tadmor, Eitan

February 2016

We establish Gevrey regularity of solutions to dissipative equations. The main tools are Gevrey esti...

Ladder methods, length scales and positivity of solutions in dissipative partial differential equations.

Woolcock, Caroline.

January 1998

In this thesis we have investigated some physically interesting dissipative partial differential equ...

Attractors for Semi-Linear Equations of Viscoelasticity with Very Low Dissipation

Miranville, Alain
Gatti, Stefania
Zelik, Sergey
Pata, Vittorino

January 2008

We analyze a differential system arising in the theory of isothermal viscoelasticity. This system is...

Criteria for the $L^p$-dissipativity of systems of second order differential equations

A. CIALDEA
MAZ'YA V

January 2006

We give complete algebraic characterizations of the $L^{p}$-dissipativity of the Dirichlet problem f...

Non linear problems in dissipative models

DE ANGELIS, MONICA
FIORE, GAETANO
RENNO, PASQUALE

January 2005

Aim of the paper is the qualitative analysis of a quasi-linear parabolic third order equation, which...

On the crest factor for dissipative partial differential equations

Bartuccelli, Michele V.

September 2019

In this work, we have introduced and then computed the so-called crest factor associated with soluti...

Dissipative Partial Differential Equations and Dynamical Systems

January 2012

This article surveys some recent applications of ideas from dynamical sys-tems theory to understand ...

Asymptotics for dissipative nonlinear equations

Hayashi, Nakao
Naumkin, Pavel I
Kaikina, Elena I
Shishmarev, Ilya A

January 2006

Many of problems of the natural sciences lead to nonlinear partial differential equations. However, ...

Criterion for the functional dissipativity of the Lamé operator

Cialdea A.
Maz'ya V.

After introducing the concept of functional dissipativity of the Dirichlet problem in a domain Ω⊂RN ...

General decay rate of a weakly dissipative viscoelastic equation with a general damping

Khaleel, Anaya
Messaoudi, Salim A

January 2021

In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A ge...

Convergence to stationary states of solutions to the semilinear equation of viscoelasticity

GATTI, Stefania
GRASSELLI M.

January 2006

We consider the equation of viscoelasticity characterized by a nonlinear elastic force φ depending o...

The well posedness of the dissipative Korteweg-de Vries equations with low regularity data

Han, Jinsheng
Peng, Lizhong

January 2008

We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...

Approximation of dissipative systems by elastic chains: numerical evidence

Alberto Maria Bersani
Paolo Caressa
Francesco dell’Isola

January 2022

An old and debated problem in Mechanics concerns the capacity of finite dimensional Lagrangian syste...

A Gronwall-type lemma with parameter and dissipative estimates for PDEs

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A Gronwall-type lemma with parameter and dissipative estimates for PDEs

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