Several physical phenomena are modeled by conservation laws with fluxes or sources that are singular inthe origin. Here an integro-differential regularization of those problems is proposed. The existence of positive solutions with finite total variationis proved
We introduce a new class of nonlocal nonlinear conservation laws in one space dimension that allow f...
We generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of ea...
We prove a global well-posedness result for a class of weak entropy solutions of bounded variation (...
Several physical phenomena are modeled by conservation laws with fluxes or sources that are singul...
AbstractSeveral physical phenomena are modeled by conservation laws with fluxes or sources that are ...
The existence of an a.e. positive stationary solution with bounded variation in [0,1] for an integ...
AbstractThe main structure underlying the nonlinearity of conservation laws of gasdynamical type in ...
We consider the Cauchy problem for the scalar conservation law ∂t u + ∂x f (u) = 1/g(u) , t > 0, x...
We consider the Cauchy problem for the scalar conservation law ∂ t ...
AbstractIn this paper we study the regularity properties of solutions of a single conservation law. ...
We study a class of one-dimensional conservation laws with nonlocal flux and fractional dissipation:...
We give an answer to a question posed in Amorim et al. (ESAIM Math Model Numer Anal 49(1):19–37, 201...
In this paper we study numerical methods to solve non-autonomous conservation laws of the form qt + ...
We prove that the solution to the regularization of a scalar conservation law by a fractional power ...
Conservation laws play an important role in science. The aim of this thesis is to provide an overvie...
We introduce a new class of nonlocal nonlinear conservation laws in one space dimension that allow f...
We generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of ea...
We prove a global well-posedness result for a class of weak entropy solutions of bounded variation (...
Several physical phenomena are modeled by conservation laws with fluxes or sources that are singul...
AbstractSeveral physical phenomena are modeled by conservation laws with fluxes or sources that are ...
The existence of an a.e. positive stationary solution with bounded variation in [0,1] for an integ...
AbstractThe main structure underlying the nonlinearity of conservation laws of gasdynamical type in ...
We consider the Cauchy problem for the scalar conservation law ∂t u + ∂x f (u) = 1/g(u) , t > 0, x...
We consider the Cauchy problem for the scalar conservation law ∂ t ...
AbstractIn this paper we study the regularity properties of solutions of a single conservation law. ...
We study a class of one-dimensional conservation laws with nonlocal flux and fractional dissipation:...
We give an answer to a question posed in Amorim et al. (ESAIM Math Model Numer Anal 49(1):19–37, 201...
In this paper we study numerical methods to solve non-autonomous conservation laws of the form qt + ...
We prove that the solution to the regularization of a scalar conservation law by a fractional power ...
Conservation laws play an important role in science. The aim of this thesis is to provide an overvie...
We introduce a new class of nonlocal nonlinear conservation laws in one space dimension that allow f...
We generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of ea...
We prove a global well-posedness result for a class of weak entropy solutions of bounded variation (...
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